diff --git a/Eigen/Core b/Eigen/Core
index 9f81658b0b57e6c7117b6f02f30455af14f5abf3..86608f3c8a0253cc2c0780a403f10e21d589be54 100644
--- a/Eigen/Core
+++ b/Eigen/Core
@@ -288,6 +288,9 @@ using std::ptrdiff_t;
 #if defined EIGEN_VECTORIZE_RVV10FP16
 #include "src/Core/arch/RVV10/PacketMathFP16.h"
 #endif
+#if defined EIGEN_VECTORIZE_RVV10BF16
+#include "src/Core/arch/RVV10/PacketMathBF16.h"
+#endif
 #elif defined EIGEN_VECTORIZE_ZVECTOR
 #include "src/Core/arch/ZVector/PacketMath.h"
 #include "src/Core/arch/ZVector/MathFunctions.h"
diff --git a/Eigen/src/Core/arch/RVV10/PacketMathBF16.h b/Eigen/src/Core/arch/RVV10/PacketMathBF16.h
new file mode 100644
index 0000000000000000000000000000000000000000..80502593cfdc0d5404359cbc7aaf312338c65ad1
--- /dev/null
+++ b/Eigen/src/Core/arch/RVV10/PacketMathBF16.h
@@ -0,0 +1,754 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2025 Chip Kerchner <ckerchner@tenstorrent.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_PACKET_MATH_BF16_RVV10_H
+#define EIGEN_PACKET_MATH_BF16_RVV10_H
+
+// IWYU pragma: private
+#include "../../InternalHeaderCheck.h"
+
+namespace Eigen {
+namespace internal {
+
+typedef eigen_packet_wrapper<vbfloat16m1_t __attribute__((riscv_rvv_vector_bits(EIGEN_RISCV64_RVV_VL))), 26>
+    Packet1Xbf;
+typedef eigen_packet_wrapper<vbfloat16m2_t __attribute__((riscv_rvv_vector_bits(EIGEN_RISCV64_RVV_VL * 2))), 27>
+    Packet2Xbf;
+
+#if EIGEN_RISCV64_DEFAULT_LMUL == 1
+typedef Packet1Xbf PacketXbf;
+
+template <>
+struct packet_traits<bfloat16> : default_packet_traits {
+  typedef Packet1Xbf type;
+  typedef Packet1Xbf half;
+
+  enum {
+    Vectorizable = 1,
+    AlignedOnScalar = 1,
+    size = rvv_packet_size_selector<bfloat16, EIGEN_RISCV64_RVV_VL, 1>::size,
+
+    HasAdd = 1,
+    HasSub = 1,
+    HasShift = 1,
+    HasMul = 1,
+    HasNegate = 1,
+    HasAbs = 1,
+    HasArg = 0,
+    HasAbs2 = 1,
+    HasMin = 1,
+    HasMax = 1,
+    HasConj = 1,
+    HasSetLinear = 0,
+    HasBlend = 0,
+    HasReduxp = 0,
+    HasSign = 0,
+
+    HasCmp = 1,
+    HasDiv = 1,
+    HasRound = 0,
+
+    HasSin = 0,
+    HasCos = 0,
+    HasLog = 0,
+    HasExp = 0,
+    HasSqrt = 1,
+    HasTanh = 0,
+    HasErf = 0
+  };
+};
+
+#else
+typedef Packet2Xbf PacketXbf;
+
+template <>
+struct packet_traits<bfloat16> : default_packet_traits {
+  typedef Packet2Xbf type;
+  typedef Packet1Xbf half;
+
+  enum {
+    Vectorizable = 1,
+    AlignedOnScalar = 1,
+    size = rvv_packet_size_selector<bfloat16, EIGEN_RISCV64_RVV_VL, 2>::size,
+
+    HasAdd = 1,
+    HasSub = 1,
+    HasShift = 1,
+    HasMul = 1,
+    HasNegate = 1,
+    HasAbs = 1,
+    HasArg = 0,
+    HasAbs2 = 1,
+    HasMin = 1,
+    HasMax = 1,
+    HasConj = 1,
+    HasSetLinear = 0,
+    HasBlend = 0,
+    HasReduxp = 0,
+    HasSign = 0,
+
+    HasCmp = 1,
+    HasDiv = 1,
+    HasRound = 0,
+
+    HasSin = 0,
+    HasCos = 0,
+    HasLog = 0,
+    HasExp = 0,
+    HasSqrt = 1,
+    HasTanh = 0,
+    HasErf = 0
+  };
+};
+#endif
+
+template <>
+struct unpacket_traits<Packet1Xbf> : default_unpacket_traits {
+  typedef bfloat16 type;
+  typedef Packet1Xbf half;  // Half not yet implemented
+  typedef Packet1Xs integer_packet;
+  typedef numext::uint8_t mask_t;
+
+  enum {
+    size = rvv_packet_size_selector<bfloat16, EIGEN_RISCV64_RVV_VL, 1>::size,
+    alignment = rvv_packet_alignment_selector<EIGEN_RISCV64_RVV_VL, 1>::alignment,
+    vectorizable = true
+  };
+};
+
+template <>
+struct unpacket_traits<Packet2Xbf> : default_unpacket_traits {
+  typedef bfloat16 type;
+  typedef Packet1Xbf half;
+  typedef Packet2Xs integer_packet;
+  typedef numext::uint8_t mask_t;
+
+  enum {
+    size = rvv_packet_size_selector<bfloat16, EIGEN_RISCV64_RVV_VL, 2>::size,
+    alignment = rvv_packet_alignment_selector<EIGEN_RISCV64_RVV_VL, 2>::alignment,
+    vectorizable = true
+  };
+};
+
+/********************************* Packet1Xbf ************************************/
+
+EIGEN_STRONG_INLINE Packet2Xf Bf16ToF32(const Packet1Xbf& a) {
+  return __riscv_vfwcvtbf16_f_f_v_f32m2(a, unpacket_traits<Packet1Xbf>::size);
+}
+
+EIGEN_STRONG_INLINE Packet1Xbf F32ToBf16(const Packet2Xf& a) {
+  return __riscv_vfncvtbf16_f_f_w_bf16m1(a, unpacket_traits<Packet2Xf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf ptrue<Packet1Xbf>(const Packet1Xbf& /*a*/) {
+  return __riscv_vreinterpret_bf16m1(__riscv_vmv_v_x_u16m1(static_cast<numext::uint16_t>(0xffffu), unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pzero<Packet1Xbf>(const Packet1Xbf& /*a*/) {
+  return __riscv_vreinterpret_bf16m1(
+      __riscv_vmv_v_x_i16m1(numext::bit_cast<int16_t>(static_cast<__bf16>(0.0)), unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pabs(const Packet1Xbf& a) {
+  return __riscv_vreinterpret_v_u16m1_bf16m1(__riscv_vand_vx_u16m1(
+      __riscv_vreinterpret_v_bf16m1_u16m1(a), static_cast<numext::uint16_t>(0x7fffu), unpacket_traits<Packet1Xs>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pset1<Packet1Xbf>(const bfloat16& from) {
+  return __riscv_vreinterpret_bf16m1(
+      __riscv_vmv_v_x_i16m1(numext::bit_cast<int16_t>(from), unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pset1frombits<Packet1Xbf>(numext::uint16_t from) {
+  return __riscv_vreinterpret_bf16m1(__riscv_vmv_v_x_u16m1(from, unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf plset<Packet1Xbf>(const bfloat16& a) {
+  return F32ToBf16(plset<Packet2Xf>(static_cast<float>(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf padd<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(padd<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf psub<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(psub<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pnegate(const Packet1Xbf& a) {
+  return __riscv_vreinterpret_v_u16m1_bf16m1(__riscv_vxor_vx_u16m1(
+      __riscv_vreinterpret_v_bf16m1_u16m1(a), static_cast<numext::uint16_t>(0x8000u), unpacket_traits<Packet1Xs>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf psignbit(const Packet1Xbf& a) {
+  return __riscv_vreinterpret_v_i16m1_bf16m1(__riscv_vsra_vx_i16m1(
+      __riscv_vreinterpret_v_bf16m1_i16m1(a), 15, unpacket_traits<Packet1Xs>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pconj(const Packet1Xbf& a) {
+  return a;
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmul<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  Packet2Xf c;
+  return F32ToBf16(__riscv_vfwmaccbf16_vv_f32m2(pzero<Packet2Xf>(c), a, b, unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pdiv<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pdiv<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmadd(const Packet1Xbf& a, const Packet1Xbf& b, const Packet1Xbf& c) {
+  return F32ToBf16(__riscv_vfwmaccbf16_vv_f32m2(Bf16ToF32(c), a, b, unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmsub(const Packet1Xbf& a, const Packet1Xbf& b, const Packet1Xbf& c) {
+  return F32ToBf16(__riscv_vfwmaccbf16_vv_f32m2(Bf16ToF32(pnegate<Packet1Xbf>(c)), a, b, unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pnmadd(const Packet1Xbf& a, const Packet1Xbf& b, const Packet1Xbf& c) {
+  return F32ToBf16(__riscv_vfwmaccbf16_vv_f32m2(Bf16ToF32(c), pnegate<Packet1Xbf>(a), b, unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pnmsub(const Packet1Xbf& a, const Packet1Xbf& b, const Packet1Xbf& c) {
+  return pnegate<Packet1Xbf>(F32ToBf16(__riscv_vfwmaccbf16_vv_f32m2(Bf16ToF32(c), a, b, unpacket_traits<Packet1Xbf>::size)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmin<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pmin<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmin<PropagateNaN, Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pmin<PropagateNaN, Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmin<PropagateNumbers, Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pmin<PropagateNumbers, Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmax<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pmax<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmax<PropagateNaN, Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pmax<PropagateNaN, Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pmax<PropagateNumbers, Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pmax<PropagateNumbers, Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pcmp_le<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pcmp_le<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pcmp_lt<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pcmp_lt<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pcmp_eq<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pcmp_eq<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pcmp_lt_or_nan<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return F32ToBf16(pcmp_lt_or_nan<Packet2Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+// Logical Operations are not supported for bfloat16, so reinterpret casts
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pand<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return __riscv_vreinterpret_v_u16m1_bf16m1(__riscv_vand_vv_u16m1(
+      __riscv_vreinterpret_v_bf16m1_u16m1(a), __riscv_vreinterpret_v_bf16m1_u16m1(b), unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf por<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return __riscv_vreinterpret_v_u16m1_bf16m1(__riscv_vor_vv_u16m1(
+      __riscv_vreinterpret_v_bf16m1_u16m1(a), __riscv_vreinterpret_v_bf16m1_u16m1(b), unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pxor<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return __riscv_vreinterpret_v_u16m1_bf16m1(__riscv_vxor_vv_u16m1(
+      __riscv_vreinterpret_v_bf16m1_u16m1(a), __riscv_vreinterpret_v_bf16m1_u16m1(b), unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pandnot<Packet1Xbf>(const Packet1Xbf& a, const Packet1Xbf& b) {
+  return __riscv_vreinterpret_v_u16m1_bf16m1(__riscv_vand_vv_u16m1(
+      __riscv_vreinterpret_v_bf16m1_u16m1(a),
+      __riscv_vnot_v_u16m1(__riscv_vreinterpret_v_bf16m1_u16m1(b), unpacket_traits<Packet1Xbf>::size),
+      unpacket_traits<Packet1Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pload<Packet1Xbf>(const bfloat16* from) {
+  EIGEN_DEBUG_ALIGNED_LOAD return __riscv_vle16_v_bf16m1(reinterpret_cast<const __bf16*>(from),
+                                                        unpacket_traits<Packet1Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf ploadu<Packet1Xbf>(const bfloat16* from) {
+  EIGEN_DEBUG_UNALIGNED_LOAD return __riscv_vle16_v_bf16m1(reinterpret_cast<const __bf16*>(from),
+                                                          unpacket_traits<Packet1Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf ploaddup<Packet1Xbf>(const bfloat16* from) {
+  Packet1Xsu idx = __riscv_vid_v_u16m1(unpacket_traits<Packet1Xbf>::size);
+  idx = __riscv_vand_vx_u16m1(idx, static_cast<numext::uint16_t>(0xfffeu), unpacket_traits<Packet1Xbf>::size);
+  return __riscv_vloxei16_v_bf16m1(reinterpret_cast<const __bf16*>(from), idx, unpacket_traits<Packet1Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf ploadquad<Packet1Xbf>(const bfloat16* from) {
+  Packet1Xsu idx = __riscv_vid_v_u16m1(unpacket_traits<Packet1Xbf>::size);
+  idx = __riscv_vsrl_vx_u16m1(__riscv_vand_vx_u16m1(idx, static_cast<numext::uint16_t>(0xfffcu), unpacket_traits<Packet1Xbf>::size), 1,
+                              unpacket_traits<Packet1Xbf>::size);
+  return __riscv_vloxei16_v_bf16m1(reinterpret_cast<const __bf16*>(from), idx, unpacket_traits<Packet1Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE void pstore<bfloat16>(bfloat16* to, const Packet1Xbf& from) {
+  EIGEN_DEBUG_ALIGNED_STORE __riscv_vse16_v_bf16m1(reinterpret_cast<__bf16*>(to), from,
+                                                  unpacket_traits<Packet1Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE void pstoreu<bfloat16>(bfloat16* to, const Packet1Xbf& from) {
+  EIGEN_DEBUG_UNALIGNED_STORE __riscv_vse16_v_bf16m1(reinterpret_cast<__bf16*>(to), from,
+                                                    unpacket_traits<Packet1Xbf>::size);
+}
+
+template <>
+EIGEN_DEVICE_FUNC inline Packet1Xbf pgather<bfloat16, Packet1Xbf>(const bfloat16* from, Index stride) {
+  return __riscv_vlse16_v_bf16m1(reinterpret_cast<const __bf16*>(from), stride * sizeof(bfloat16),
+                                unpacket_traits<Packet1Xbf>::size);
+}
+
+template <>
+EIGEN_DEVICE_FUNC inline void pscatter<bfloat16, Packet1Xbf>(bfloat16* to, const Packet1Xbf& from, Index stride) {
+  __riscv_vsse16(reinterpret_cast<__bf16*>(to), stride * sizeof(bfloat16), from, unpacket_traits<Packet1Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 pfirst<Packet1Xbf>(const Packet1Xbf& a) {
+  return numext::bit_cast<bfloat16>(__riscv_vmv_x_s_i16m1_i16(__riscv_vreinterpret_v_bf16m1_i16m1(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf psqrt(const Packet1Xbf& a) {
+  return F32ToBf16(psqrt<Packet2Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf print<Packet1Xbf>(const Packet1Xbf& a) {
+  return F32ToBf16(print<Packet2Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pfloor<Packet1Xbf>(const Packet1Xbf& a) {
+  return F32ToBf16(pfloor<Packet2Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf preverse(const Packet1Xbf& a) {
+  return __riscv_vreinterpret_v_i16m1_bf16m1(preverse<Packet1Xs>(__riscv_vreinterpret_v_bf16m1_i16m1(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 predux<Packet1Xbf>(const Packet1Xbf& a) {
+  return static_cast<bfloat16>(predux<Packet2Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 predux_mul<Packet1Xbf>(const Packet1Xbf& a) {
+  return static_cast<bfloat16>(predux_mul<Packet2Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 predux_min<Packet1Xbf>(const Packet1Xbf& a) {
+  return static_cast<bfloat16>(predux_min<Packet2Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 predux_max<Packet1Xbf>(const Packet1Xbf& a) {
+  return static_cast<bfloat16>(predux_max<Packet2Xf>(Bf16ToF32(a)));
+}
+
+template <int N>
+EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet1Xbf, N>& kernel) {
+  bfloat16 buffer[unpacket_traits<Packet1Xbf>::size * N];
+  int i = 0;
+
+  for (i = 0; i < N; i++) {
+    __riscv_vsse16(reinterpret_cast<__bf16*>(&buffer[i]), N * sizeof(bfloat16), kernel.packet[i],
+                   unpacket_traits<Packet1Xbf>::size);
+  }
+
+  for (i = 0; i < N; i++) {
+    kernel.packet[i] = __riscv_vle16_v_bf16m1(reinterpret_cast<__bf16*>(&buffer[i * unpacket_traits<Packet1Xbf>::size]),
+                                             unpacket_traits<Packet1Xbf>::size);
+  }
+}
+
+/********************************* Packet2Xbf ************************************/
+
+EIGEN_STRONG_INLINE Packet4Xf Bf16ToF32(const Packet2Xbf& a) {
+  return __riscv_vfwcvtbf16_f_f_v_f32m4(a, unpacket_traits<Packet2Xbf>::size);
+}
+
+EIGEN_STRONG_INLINE Packet2Xbf F32ToBf16(const Packet4Xf& a) {
+  return __riscv_vfncvtbf16_f_f_w_bf16m2(a, unpacket_traits<Packet4Xf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf ptrue<Packet2Xbf>(const Packet2Xbf& /*a*/) {
+  return __riscv_vreinterpret_bf16m2(__riscv_vmv_v_x_u16m2(static_cast<numext::uint16_t>(0xffffu), unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pzero<Packet2Xbf>(const Packet2Xbf& /*a*/) {
+  return __riscv_vreinterpret_bf16m2(
+      __riscv_vmv_v_x_i16m2(numext::bit_cast<int16_t>(static_cast<__bf16>(0.0)), unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pabs(const Packet2Xbf& a) {
+  return __riscv_vreinterpret_v_u16m2_bf16m2(__riscv_vand_vx_u16m2(
+      __riscv_vreinterpret_v_bf16m2_u16m2(a), static_cast<numext::uint16_t>(0x7fffu), unpacket_traits<Packet2Xs>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pset1<Packet2Xbf>(const bfloat16& from) {
+  return __riscv_vreinterpret_bf16m2(
+      __riscv_vmv_v_x_i16m2(numext::bit_cast<int16_t>(from), unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pset1frombits<Packet2Xbf>(numext::uint16_t from) {
+  return __riscv_vreinterpret_bf16m2(__riscv_vmv_v_x_u16m2(from, unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf plset<Packet2Xbf>(const bfloat16& a) {
+  return F32ToBf16(plset<Packet4Xf>(static_cast<float>(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf padd<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(padd<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf psub<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(psub<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pnegate(const Packet2Xbf& a) {
+  return __riscv_vreinterpret_v_u16m2_bf16m2(__riscv_vxor_vx_u16m2(
+      __riscv_vreinterpret_v_bf16m2_u16m2(a), static_cast<numext::uint16_t>(0x8000u), unpacket_traits<Packet2Xs>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf psignbit(const Packet2Xbf& a) {
+  return __riscv_vreinterpret_v_i16m2_bf16m2(__riscv_vsra_vx_i16m2(
+      __riscv_vreinterpret_v_bf16m2_i16m2(a), 15, unpacket_traits<Packet2Xs>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pconj(const Packet2Xbf& a) {
+  return a;
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmul<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  Packet4Xf c;
+  return F32ToBf16(__riscv_vfwmaccbf16_vv_f32m4(pzero<Packet4Xf>(c), a, b, unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pdiv<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pdiv<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmadd(const Packet2Xbf& a, const Packet2Xbf& b, const Packet2Xbf& c) {
+  return F32ToBf16(__riscv_vfwmaccbf16_vv_f32m4(Bf16ToF32(c), a, b, unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmsub(const Packet2Xbf& a, const Packet2Xbf& b, const Packet2Xbf& c) {
+  return F32ToBf16(__riscv_vfwmaccbf16_vv_f32m4(Bf16ToF32(pnegate<Packet2Xbf>(c)), a, b, unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pnmadd(const Packet2Xbf& a, const Packet2Xbf& b, const Packet2Xbf& c) {
+  return F32ToBf16(__riscv_vfwmaccbf16_vv_f32m4(Bf16ToF32(c), pnegate<Packet2Xbf>(a), b, unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pnmsub(const Packet2Xbf& a, const Packet2Xbf& b, const Packet2Xbf& c) {
+  return pnegate<Packet2Xbf>(F32ToBf16(__riscv_vfwmaccbf16_vv_f32m4(Bf16ToF32(c), a, b, unpacket_traits<Packet2Xbf>::size)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmin<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pmin<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmin<PropagateNaN, Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pmin<PropagateNaN, Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmin<PropagateNumbers, Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pmin<PropagateNumbers, Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmax<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pmax<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmax<PropagateNaN, Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pmax<PropagateNaN, Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pmax<PropagateNumbers, Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pmax<PropagateNumbers, Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pcmp_le<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pcmp_le<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pcmp_lt<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pcmp_lt<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pcmp_eq<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pcmp_eq<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pcmp_lt_or_nan<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return F32ToBf16(pcmp_lt_or_nan<Packet4Xf>(Bf16ToF32(a), Bf16ToF32(b)));
+}
+
+// Logical Operations are not supported for bflaot16, so reinterpret casts
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pand<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return __riscv_vreinterpret_v_u16m2_bf16m2(__riscv_vand_vv_u16m2(__riscv_vreinterpret_v_bf16m2_u16m2(a),
+                                                                  __riscv_vreinterpret_v_bf16m2_u16m2(b),
+                                                                  unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf por<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return __riscv_vreinterpret_v_u16m2_bf16m2(__riscv_vor_vv_u16m2(__riscv_vreinterpret_v_bf16m2_u16m2(a),
+                                                                 __riscv_vreinterpret_v_bf16m2_u16m2(b),
+                                                                 unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pxor<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return __riscv_vreinterpret_v_u16m2_bf16m2(__riscv_vxor_vv_u16m2(__riscv_vreinterpret_v_bf16m2_u16m2(a),
+                                                                  __riscv_vreinterpret_v_bf16m2_u16m2(b),
+                                                                  unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pandnot<Packet2Xbf>(const Packet2Xbf& a, const Packet2Xbf& b) {
+  return __riscv_vreinterpret_v_u16m2_bf16m2(__riscv_vand_vv_u16m2(
+      __riscv_vreinterpret_v_bf16m2_u16m2(a),
+      __riscv_vnot_v_u16m2(__riscv_vreinterpret_v_bf16m2_u16m2(b), unpacket_traits<Packet2Xbf>::size),
+      unpacket_traits<Packet2Xbf>::size));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pload<Packet2Xbf>(const bfloat16* from) {
+  EIGEN_DEBUG_ALIGNED_LOAD return __riscv_vle16_v_bf16m2(reinterpret_cast<const __bf16*>(from),
+                                                        unpacket_traits<Packet2Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf ploadu<Packet2Xbf>(const bfloat16* from) {
+  EIGEN_DEBUG_UNALIGNED_LOAD return __riscv_vle16_v_bf16m2(reinterpret_cast<const __bf16*>(from),
+                                                          unpacket_traits<Packet2Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf ploaddup<Packet2Xbf>(const bfloat16* from) {
+  Packet2Xsu idx = __riscv_vid_v_u16m2(unpacket_traits<Packet2Xbf>::size);
+  idx = __riscv_vand_vx_u16m2(idx, static_cast<numext::uint16_t>(0xfffeu), unpacket_traits<Packet2Xbf>::size);
+  return __riscv_vloxei16_v_bf16m2(reinterpret_cast<const __bf16*>(from), idx, unpacket_traits<Packet2Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf ploadquad<Packet2Xbf>(const bfloat16* from) {
+  Packet2Xsu idx = __riscv_vid_v_u16m2(unpacket_traits<Packet2Xbf>::size);
+  idx = __riscv_vsrl_vx_u16m2(__riscv_vand_vx_u16m2(idx, static_cast<numext::uint16_t>(0xfffcu), unpacket_traits<Packet2Xbf>::size), 1,
+                              unpacket_traits<Packet2Xs>::size);
+  return __riscv_vloxei16_v_bf16m2(reinterpret_cast<const __bf16*>(from), idx, unpacket_traits<Packet2Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE void pstore<bfloat16>(bfloat16* to, const Packet2Xbf& from) {
+  EIGEN_DEBUG_ALIGNED_STORE __riscv_vse16_v_bf16m2(reinterpret_cast<__bf16*>(to), from,
+                                                  unpacket_traits<Packet2Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE void pstoreu<bfloat16>(bfloat16* to, const Packet2Xbf& from) {
+  EIGEN_DEBUG_UNALIGNED_STORE __riscv_vse16_v_bf16m2(reinterpret_cast<__bf16*>(to), from,
+                                                    unpacket_traits<Packet2Xbf>::size);
+}
+
+template <>
+EIGEN_DEVICE_FUNC inline Packet2Xbf pgather<bfloat16, Packet2Xbf>(const bfloat16* from, Index stride) {
+  return __riscv_vlse16_v_bf16m2(reinterpret_cast<const __bf16*>(from), stride * sizeof(bfloat16),
+                                unpacket_traits<Packet2Xbf>::size);
+}
+
+template <>
+EIGEN_DEVICE_FUNC inline void pscatter<bfloat16, Packet2Xbf>(bfloat16* to, const Packet2Xbf& from,
+                                                                  Index stride) {
+  __riscv_vsse16(reinterpret_cast<__bf16*>(to), stride * sizeof(bfloat16), from,
+                 unpacket_traits<Packet2Xbf>::size);
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 pfirst<Packet2Xbf>(const Packet2Xbf& a) {
+  return static_cast<bfloat16>(__riscv_vmv_x_s_i16m2_i16(__riscv_vreinterpret_v_bf16m2_i16m2(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf psqrt(const Packet2Xbf& a) {
+  return F32ToBf16(psqrt<Packet4Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf print<Packet2Xbf>(const Packet2Xbf& a) {
+  return F32ToBf16(print<Packet4Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pfloor<Packet2Xbf>(const Packet2Xbf& a) {
+  return F32ToBf16(pfloor<Packet4Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf preverse(const Packet2Xbf& a) {
+  return __riscv_vreinterpret_v_i16m2_bf16m2(preverse<Packet2Xs>(__riscv_vreinterpret_v_bf16m2_i16m2(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 predux<Packet2Xbf>(const Packet2Xbf& a) {
+  return static_cast<bfloat16>(predux<Packet4Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 predux_mul<Packet2Xbf>(const Packet2Xbf& a) {
+  return static_cast<bfloat16>(predux_mul<Packet4Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 predux_min<Packet2Xbf>(const Packet2Xbf& a) {
+  return static_cast<bfloat16>(predux_min<Packet4Xf>(Bf16ToF32(a)));
+}
+
+template <>
+EIGEN_STRONG_INLINE bfloat16 predux_max<Packet2Xbf>(const Packet2Xbf& a) {
+  return static_cast<bfloat16>(predux_max<Packet4Xf>(Bf16ToF32(a)));
+}
+
+template <int N>
+EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet2Xbf, N>& kernel) {
+  bfloat16 buffer[unpacket_traits<Packet2Xbf>::size * N];
+  int i = 0;
+
+  for (i = 0; i < N; i++) {
+    __riscv_vsse16(reinterpret_cast<__bf16*>(&buffer[i]), N * sizeof(bfloat16), kernel.packet[i],
+                   unpacket_traits<Packet2Xbf>::size);
+  }
+
+  for (i = 0; i < N; i++) {
+    kernel.packet[i] =
+        __riscv_vle16_v_bf16m2(reinterpret_cast<__bf16*>(&buffer[i * unpacket_traits<Packet2Xbf>::size]),
+                              unpacket_traits<Packet2Xbf>::size);
+  }
+}
+
+template <typename Packet = Packet2Xbf>
+EIGEN_STRONG_INLINE
+typename std::enable_if<std::is_same<Packet, Packet2Xbf>::value && (unpacket_traits<Packet2Xbf>::size % 8) == 0,
+                        Packet1Xbf>::type
+predux_half(const Packet2Xbf& a) {
+  return padd<Packet1Xbf>(__riscv_vget_v_bf16m2_bf16m1(a, 0), __riscv_vget_v_bf16m2_bf16m1(a, 1));
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xbf pcast<Packet1Xs, Packet1Xbf>(const Packet1Xs& a) {
+  return __riscv_vreinterpret_v_i16m1_bf16m1(a);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xbf pcast<Packet2Xs, Packet2Xbf>(const Packet2Xs& a) {
+  return __riscv_vreinterpret_v_i16m2_bf16m2(a);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet1Xs pcast<Packet1Xbf, Packet1Xs>(const Packet1Xbf& a) {
+  return __riscv_vreinterpret_v_bf16m1_i16m1(a);
+}
+
+template <>
+EIGEN_STRONG_INLINE Packet2Xs pcast<Packet2Xbf, Packet2Xs>(const Packet2Xbf& a) {
+  return __riscv_vreinterpret_v_bf16m2_i16m2(a);
+}
+
+}  // namespace internal
+}  // namespace Eigen
+
+#endif  // EIGEN_PACKET_MATH_BF16_RVV10_H
diff --git a/Eigen/src/Core/arch/RVV10/PacketMathFP16.h b/Eigen/src/Core/arch/RVV10/PacketMathFP16.h
index d3cbf933a219325d1035136acac44f11414d462e..f3e5924c136ec94284024519c44a33054a90ab4d 100644
--- a/Eigen/src/Core/arch/RVV10/PacketMathFP16.h
+++ b/Eigen/src/Core/arch/RVV10/PacketMathFP16.h
@@ -110,7 +110,7 @@ template <>
 struct unpacket_traits<Packet1Xh> {
   typedef Eigen::half type;
   typedef Packet1Xh half;  // Half not yet implemented
-  typedef PacketXs integer_packet;
+  typedef Packet1Xs integer_packet;
   typedef numext::uint8_t mask_t;
 
   enum {
@@ -138,351 +138,351 @@ struct unpacket_traits<Packet2Xh> {
   };
 };
 
-/********************************* PacketXh ************************************/
+/********************************* Packet1Xh ************************************/
 
 template <>
-EIGEN_STRONG_INLINE PacketXh ptrue<PacketXh>(const PacketXh& /*a*/) {
-  return __riscv_vreinterpret_f16m1(__riscv_vmv_v_x_u16m1(0xffffu, unpacket_traits<PacketXh>::size));
+EIGEN_STRONG_INLINE Packet1Xh ptrue<Packet1Xh>(const Packet1Xh& /*a*/) {
+  return __riscv_vreinterpret_f16m1(__riscv_vmv_v_x_u16m1(0xffffu, unpacket_traits<Packet1Xh>::size));
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pzero<PacketXh>(const PacketXh& /*a*/) {
-  return __riscv_vfmv_v_f_f16m1(static_cast<_Float16>(0.0), unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pzero<Packet1Xh>(const Packet1Xh& /*a*/) {
+  return __riscv_vfmv_v_f_f16m1(static_cast<_Float16>(0.0), unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pabs(const PacketXh& a) {
-  return __riscv_vfabs_v_f16m1(a, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pabs(const Packet1Xh& a) {
+  return __riscv_vfabs_v_f16m1(a, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pset1<PacketXh>(const Eigen::half& from) {
-  return __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(from), unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pset1<Packet1Xh>(const Eigen::half& from) {
+  return __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(from), unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pset1frombits<PacketXh>(numext::uint16_t from) {
-  return __riscv_vreinterpret_f16m1(__riscv_vmv_v_x_u16m1(from, unpacket_traits<PacketXh>::size));
+EIGEN_STRONG_INLINE Packet1Xh pset1frombits<Packet1Xh>(numext::uint16_t from) {
+  return __riscv_vreinterpret_f16m1(__riscv_vmv_v_x_u16m1(from, unpacket_traits<Packet1Xh>::size));
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh plset<PacketXh>(const Eigen::half& a) {
-  PacketXh idx =
-      __riscv_vfcvt_f_x_v_f16m1(__riscv_vreinterpret_v_u16m1_i16m1(__riscv_vid_v_u16m1(unpacket_traits<PacketXs>::size)),
-      unpacket_traits<PacketXh>::size);
-  return __riscv_vfadd_vf_f16m1(idx, numext::bit_cast<_Float16>(a), unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh plset<Packet1Xh>(const Eigen::half& a) {
+  Packet1Xh idx =
+      __riscv_vfcvt_f_x_v_f16m1(__riscv_vreinterpret_v_u16m1_i16m1(__riscv_vid_v_u16m1(unpacket_traits<Packet1Xs>::size)),
+      unpacket_traits<Packet1Xh>::size);
+  return __riscv_vfadd_vf_f16m1(idx, numext::bit_cast<_Float16>(a), unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh padd<PacketXh>(const PacketXh& a, const PacketXh& b) {
-  return __riscv_vfadd_vv_f16m1(a, b, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh padd<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  return __riscv_vfadd_vv_f16m1(a, b, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh psub<PacketXh>(const PacketXh& a, const PacketXh& b) {
-  return __riscv_vfsub_vv_f16m1(a, b, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh psub<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  return __riscv_vfsub_vv_f16m1(a, b, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pnegate(const PacketXh& a) {
-  return __riscv_vfneg_v_f16m1(a, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pnegate(const Packet1Xh& a) {
+  return __riscv_vfneg_v_f16m1(a, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pconj(const PacketXh& a) {
+EIGEN_STRONG_INLINE Packet1Xh pconj(const Packet1Xh& a) {
   return a;
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmul<PacketXh>(const PacketXh& a, const PacketXh& b) {
-  return __riscv_vfmul_vv_f16m1(a, b, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pmul<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  return __riscv_vfmul_vv_f16m1(a, b, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pdiv<PacketXh>(const PacketXh& a, const PacketXh& b) {
-  return __riscv_vfdiv_vv_f16m1(a, b, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pdiv<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  return __riscv_vfdiv_vv_f16m1(a, b, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmadd(const PacketXh& a, const PacketXh& b, const PacketXh& c) {
-  return __riscv_vfmadd_vv_f16m1(a, b, c, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pmadd(const Packet1Xh& a, const Packet1Xh& b, const Packet1Xh& c) {
+  return __riscv_vfmadd_vv_f16m1(a, b, c, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmsub(const PacketXh& a, const PacketXh& b, const PacketXh& c) {
-  return __riscv_vfmsub_vv_f16m1(a, b, c, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pmsub(const Packet1Xh& a, const Packet1Xh& b, const Packet1Xh& c) {
+  return __riscv_vfmsub_vv_f16m1(a, b, c, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pnmadd(const PacketXh& a, const PacketXh& b, const PacketXh& c) {
-  return __riscv_vfnmsub_vv_f16m1(a, b, c, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pnmadd(const Packet1Xh& a, const Packet1Xh& b, const Packet1Xh& c) {
+  return __riscv_vfnmsub_vv_f16m1(a, b, c, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pnmsub(const PacketXh& a, const PacketXh& b, const PacketXh& c) {
-  return __riscv_vfnmadd_vv_f16m1(a, b, c, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pnmsub(const Packet1Xh& a, const Packet1Xh& b, const Packet1Xh& c) {
+  return __riscv_vfnmadd_vv_f16m1(a, b, c, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmin<PacketXh>(const PacketXh& a, const PacketXh& b) {
+EIGEN_STRONG_INLINE Packet1Xh pmin<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
   const Eigen::half nan = (std::numeric_limits<Eigen::half>::quiet_NaN)();
-  PacketXh nans =
-      __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(nan), unpacket_traits<PacketXh>::size);
-  PacketMask16 mask = __riscv_vmfeq_vv_f16m1_b16(a, a, unpacket_traits<PacketXh>::size);
-  PacketMask16 mask2 = __riscv_vmfeq_vv_f16m1_b16(b, b, unpacket_traits<PacketXh>::size);
-  mask = __riscv_vmand_mm_b16(mask, mask2, unpacket_traits<PacketXh>::size);
+  Packet1Xh nans =
+      __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(nan), unpacket_traits<Packet1Xh>::size);
+  PacketMask16 mask = __riscv_vmfeq_vv_f16m1_b16(a, a, unpacket_traits<Packet1Xh>::size);
+  PacketMask16 mask2 = __riscv_vmfeq_vv_f16m1_b16(b, b, unpacket_traits<Packet1Xh>::size);
+  mask = __riscv_vmand_mm_b16(mask, mask2, unpacket_traits<Packet1Xh>::size);
 
-  return __riscv_vfmin_vv_f16m1_tumu(mask, nans, a, b, unpacket_traits<PacketXh>::size);
+  return __riscv_vfmin_vv_f16m1_tumu(mask, nans, a, b, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmin<PropagateNaN, PacketXh>(const PacketXh& a, const PacketXh& b) {
-  return pmin<PacketXh>(a, b);
+EIGEN_STRONG_INLINE Packet1Xh pmin<PropagateNaN, Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  return pmin<Packet1Xh>(a, b);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmin<PropagateNumbers, PacketXh>(const PacketXh& a, const PacketXh& b) {
-  return __riscv_vfmin_vv_f16m1(a, b, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pmin<PropagateNumbers, Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  return __riscv_vfmin_vv_f16m1(a, b, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmax<PacketXh>(const PacketXh& a, const PacketXh& b) {
+EIGEN_STRONG_INLINE Packet1Xh pmax<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
   const Eigen::half nan = (std::numeric_limits<Eigen::half>::quiet_NaN)();
-  PacketXh nans =
-      __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(nan), unpacket_traits<PacketXh>::size);
-  PacketMask16 mask = __riscv_vmfeq_vv_f16m1_b16(a, a, unpacket_traits<PacketXh>::size);
-  PacketMask16 mask2 = __riscv_vmfeq_vv_f16m1_b16(b, b, unpacket_traits<PacketXh>::size);
-  mask = __riscv_vmand_mm_b16(mask, mask2, unpacket_traits<PacketXh>::size);
+  Packet1Xh nans =
+      __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(nan), unpacket_traits<Packet1Xh>::size);
+  PacketMask16 mask = __riscv_vmfeq_vv_f16m1_b16(a, a, unpacket_traits<Packet1Xh>::size);
+  PacketMask16 mask2 = __riscv_vmfeq_vv_f16m1_b16(b, b, unpacket_traits<Packet1Xh>::size);
+  mask = __riscv_vmand_mm_b16(mask, mask2, unpacket_traits<Packet1Xh>::size);
 
-  return __riscv_vfmax_vv_f16m1_tumu(mask, nans, a, b, unpacket_traits<PacketXh>::size);
+  return __riscv_vfmax_vv_f16m1_tumu(mask, nans, a, b, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmax<PropagateNaN, PacketXh>(const PacketXh& a, const PacketXh& b) {
-  return pmax<PacketXh>(a, b);
+EIGEN_STRONG_INLINE Packet1Xh pmax<PropagateNaN, Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  return pmax<Packet1Xh>(a, b);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pmax<PropagateNumbers, PacketXh>(const PacketXh& a, const PacketXh& b) {
-  return __riscv_vfmax_vv_f16m1(a, b, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pmax<PropagateNumbers, Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  return __riscv_vfmax_vv_f16m1(a, b, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pcmp_le<PacketXh>(const PacketXh& a, const PacketXh& b) {
-  PacketMask16 mask = __riscv_vmfle_vv_f16m1_b16(a, b, unpacket_traits<PacketXh>::size);
-  return __riscv_vmerge_vvm_f16m1(pzero<PacketXh>(a), ptrue<PacketXh>(a), mask, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pcmp_le<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  PacketMask16 mask = __riscv_vmfle_vv_f16m1_b16(a, b, unpacket_traits<Packet1Xh>::size);
+  return __riscv_vmerge_vvm_f16m1(pzero<Packet1Xh>(a), ptrue<Packet1Xh>(a), mask, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pcmp_lt<PacketXh>(const PacketXh& a, const PacketXh& b) {
-  PacketMask16 mask = __riscv_vmflt_vv_f16m1_b16(a, b, unpacket_traits<PacketXh>::size);
-  return __riscv_vmerge_vvm_f16m1(pzero<PacketXh>(a), ptrue<PacketXh>(a), mask, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pcmp_lt<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  PacketMask16 mask = __riscv_vmflt_vv_f16m1_b16(a, b, unpacket_traits<Packet1Xh>::size);
+  return __riscv_vmerge_vvm_f16m1(pzero<Packet1Xh>(a), ptrue<Packet1Xh>(a), mask, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pcmp_eq<PacketXh>(const PacketXh& a, const PacketXh& b) {
-  PacketMask16 mask = __riscv_vmfeq_vv_f16m1_b16(a, b, unpacket_traits<PacketXh>::size);
-  return __riscv_vmerge_vvm_f16m1(pzero<PacketXh>(a), ptrue<PacketXh>(a), mask, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pcmp_eq<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  PacketMask16 mask = __riscv_vmfeq_vv_f16m1_b16(a, b, unpacket_traits<Packet1Xh>::size);
+  return __riscv_vmerge_vvm_f16m1(pzero<Packet1Xh>(a), ptrue<Packet1Xh>(a), mask, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pcmp_lt_or_nan<PacketXh>(const PacketXh& a, const PacketXh& b) {
-  PacketMask16 mask = __riscv_vmfge_vv_f16m1_b16(a, b, unpacket_traits<PacketXh>::size);
-  return __riscv_vfmerge_vfm_f16m1(ptrue<PacketXh>(a), static_cast<_Float16>(0.0), mask,
-                                   unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh pcmp_lt_or_nan<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
+  PacketMask16 mask = __riscv_vmfge_vv_f16m1_b16(a, b, unpacket_traits<Packet1Xh>::size);
+  return __riscv_vfmerge_vfm_f16m1(ptrue<Packet1Xh>(a), static_cast<_Float16>(0.0), mask,
+                                   unpacket_traits<Packet1Xh>::size);
 }
 
 // Logical Operations are not supported for half, so reinterpret casts
 template <>
-EIGEN_STRONG_INLINE PacketXh pand<PacketXh>(const PacketXh& a, const PacketXh& b) {
+EIGEN_STRONG_INLINE Packet1Xh pand<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
   return __riscv_vreinterpret_v_u16m1_f16m1(__riscv_vand_vv_u16m1(
-      __riscv_vreinterpret_v_f16m1_u16m1(a), __riscv_vreinterpret_v_f16m1_u16m1(b), unpacket_traits<PacketXh>::size));
+      __riscv_vreinterpret_v_f16m1_u16m1(a), __riscv_vreinterpret_v_f16m1_u16m1(b), unpacket_traits<Packet1Xh>::size));
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh por<PacketXh>(const PacketXh& a, const PacketXh& b) {
+EIGEN_STRONG_INLINE Packet1Xh por<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
   return __riscv_vreinterpret_v_u16m1_f16m1(__riscv_vor_vv_u16m1(
-      __riscv_vreinterpret_v_f16m1_u16m1(a), __riscv_vreinterpret_v_f16m1_u16m1(b), unpacket_traits<PacketXh>::size));
+      __riscv_vreinterpret_v_f16m1_u16m1(a), __riscv_vreinterpret_v_f16m1_u16m1(b), unpacket_traits<Packet1Xh>::size));
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pxor<PacketXh>(const PacketXh& a, const PacketXh& b) {
+EIGEN_STRONG_INLINE Packet1Xh pxor<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
   return __riscv_vreinterpret_v_u16m1_f16m1(__riscv_vxor_vv_u16m1(
-      __riscv_vreinterpret_v_f16m1_u16m1(a), __riscv_vreinterpret_v_f16m1_u16m1(b), unpacket_traits<PacketXh>::size));
+      __riscv_vreinterpret_v_f16m1_u16m1(a), __riscv_vreinterpret_v_f16m1_u16m1(b), unpacket_traits<Packet1Xh>::size));
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pandnot<PacketXh>(const PacketXh& a, const PacketXh& b) {
+EIGEN_STRONG_INLINE Packet1Xh pandnot<Packet1Xh>(const Packet1Xh& a, const Packet1Xh& b) {
   return __riscv_vreinterpret_v_u16m1_f16m1(__riscv_vand_vv_u16m1(
       __riscv_vreinterpret_v_f16m1_u16m1(a),
-      __riscv_vnot_v_u16m1(__riscv_vreinterpret_v_f16m1_u16m1(b), unpacket_traits<PacketXh>::size),
-      unpacket_traits<PacketXh>::size));
+      __riscv_vnot_v_u16m1(__riscv_vreinterpret_v_f16m1_u16m1(b), unpacket_traits<Packet1Xh>::size),
+      unpacket_traits<Packet1Xh>::size));
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pload<PacketXh>(const Eigen::half* from) {
+EIGEN_STRONG_INLINE Packet1Xh pload<Packet1Xh>(const Eigen::half* from) {
   EIGEN_DEBUG_ALIGNED_LOAD return __riscv_vle16_v_f16m1(reinterpret_cast<const _Float16*>(from),
-                                                        unpacket_traits<PacketXh>::size);
+                                                        unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh ploadu<PacketXh>(const Eigen::half* from) {
+EIGEN_STRONG_INLINE Packet1Xh ploadu<Packet1Xh>(const Eigen::half* from) {
   EIGEN_DEBUG_UNALIGNED_LOAD return __riscv_vle16_v_f16m1(reinterpret_cast<const _Float16*>(from),
-                                                          unpacket_traits<PacketXh>::size);
+                                                          unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh ploaddup<PacketXh>(const Eigen::half* from) {
-  PacketXsu idx = __riscv_vid_v_u16m1(unpacket_traits<PacketXh>::size);
-  idx = __riscv_vand_vx_u16m1(idx, 0xfffeu, unpacket_traits<PacketXh>::size);
-  return __riscv_vloxei16_v_f16m1(reinterpret_cast<const _Float16*>(from), idx, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh ploaddup<Packet1Xh>(const Eigen::half* from) {
+  Packet1Xsu idx = __riscv_vid_v_u16m1(unpacket_traits<Packet1Xh>::size);
+  idx = __riscv_vand_vx_u16m1(idx, 0xfffeu, unpacket_traits<Packet1Xh>::size);
+  return __riscv_vloxei16_v_f16m1(reinterpret_cast<const _Float16*>(from), idx, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh ploadquad<PacketXh>(const Eigen::half* from) {
-  PacketXsu idx = __riscv_vid_v_u16m1(unpacket_traits<PacketXh>::size);
-  idx = __riscv_vsrl_vx_u16m1(__riscv_vand_vx_u16m1(idx, 0xfffcu, unpacket_traits<PacketXh>::size), 1,
-                              unpacket_traits<PacketXh>::size);
-  return __riscv_vloxei16_v_f16m1(reinterpret_cast<const _Float16*>(from), idx, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh ploadquad<Packet1Xh>(const Eigen::half* from) {
+  Packet1Xsu idx = __riscv_vid_v_u16m1(unpacket_traits<Packet1Xh>::size);
+  idx = __riscv_vsrl_vx_u16m1(__riscv_vand_vx_u16m1(idx, 0xfffcu, unpacket_traits<Packet1Xh>::size), 1,
+                              unpacket_traits<Packet1Xh>::size);
+  return __riscv_vloxei16_v_f16m1(reinterpret_cast<const _Float16*>(from), idx, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE void pstore<Eigen::half>(Eigen::half* to, const PacketXh& from) {
+EIGEN_STRONG_INLINE void pstore<Eigen::half>(Eigen::half* to, const Packet1Xh& from) {
   EIGEN_DEBUG_ALIGNED_STORE __riscv_vse16_v_f16m1(reinterpret_cast<_Float16*>(to), from,
-                                                  unpacket_traits<PacketXh>::size);
+                                                  unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE void pstoreu<Eigen::half>(Eigen::half* to, const PacketXh& from) {
+EIGEN_STRONG_INLINE void pstoreu<Eigen::half>(Eigen::half* to, const Packet1Xh& from) {
   EIGEN_DEBUG_UNALIGNED_STORE __riscv_vse16_v_f16m1(reinterpret_cast<_Float16*>(to), from,
-                                                    unpacket_traits<PacketXh>::size);
+                                                    unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_DEVICE_FUNC inline PacketXh pgather<Eigen::half, PacketXh>(const Eigen::half* from, Index stride) {
+EIGEN_DEVICE_FUNC inline Packet1Xh pgather<Eigen::half, Packet1Xh>(const Eigen::half* from, Index stride) {
   return __riscv_vlse16_v_f16m1(reinterpret_cast<const _Float16*>(from), stride * sizeof(Eigen::half),
-                                unpacket_traits<PacketXh>::size);
+                                unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_DEVICE_FUNC inline void pscatter<Eigen::half, PacketXh>(Eigen::half* to, const PacketXh& from, Index stride) {
-  __riscv_vsse16(reinterpret_cast<_Float16*>(to), stride * sizeof(Eigen::half), from, unpacket_traits<PacketXh>::size);
+EIGEN_DEVICE_FUNC inline void pscatter<Eigen::half, Packet1Xh>(Eigen::half* to, const Packet1Xh& from, Index stride) {
+  __riscv_vsse16(reinterpret_cast<_Float16*>(to), stride * sizeof(Eigen::half), from, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE Eigen::half pfirst<PacketXh>(const PacketXh& a) {
+EIGEN_STRONG_INLINE Eigen::half pfirst<Packet1Xh>(const Packet1Xh& a) {
   return static_cast<Eigen::half>(__riscv_vfmv_f_s_f16m1_f16(a));
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh psqrt(const PacketXh& a) {
-  return __riscv_vfsqrt_v_f16m1(a, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh psqrt(const Packet1Xh& a) {
+  return __riscv_vfsqrt_v_f16m1(a, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh print<PacketXh>(const PacketXh& a) {
-  const PacketXh limit = pset1<PacketXh>(static_cast<Eigen::half>(1 << 10));
-  const PacketXh abs_a = pabs(a);
+EIGEN_STRONG_INLINE Packet1Xh print<Packet1Xh>(const Packet1Xh& a) {
+  const Packet1Xh limit = pset1<Packet1Xh>(static_cast<Eigen::half>(1 << 10));
+  const Packet1Xh abs_a = pabs(a);
 
-  PacketMask16 mask = __riscv_vmfne_vv_f16m1_b16(a, a, unpacket_traits<PacketXh>::size);
-  const PacketXh x = __riscv_vfadd_vv_f16m1_tumu(mask, a, a, a, unpacket_traits<PacketXh>::size);
-  const PacketXh new_x = __riscv_vfcvt_f_x_v_f16m1(__riscv_vfcvt_x_f_v_i16m1(a, unpacket_traits<PacketXh>::size),
-                                                   unpacket_traits<PacketXh>::size);
+  PacketMask16 mask = __riscv_vmfne_vv_f16m1_b16(a, a, unpacket_traits<Packet1Xh>::size);
+  const Packet1Xh x = __riscv_vfadd_vv_f16m1_tumu(mask, a, a, a, unpacket_traits<Packet1Xh>::size);
+  const Packet1Xh new_x = __riscv_vfcvt_f_x_v_f16m1(__riscv_vfcvt_x_f_v_i16m1(a, unpacket_traits<Packet1Xh>::size),
+                                                   unpacket_traits<Packet1Xh>::size);
 
-  mask = __riscv_vmflt_vv_f16m1_b16(abs_a, limit, unpacket_traits<PacketXh>::size);
-  PacketXh signed_x = __riscv_vfsgnj_vv_f16m1(new_x, x, unpacket_traits<PacketXh>::size);
-  return __riscv_vmerge_vvm_f16m1(x, signed_x, mask, unpacket_traits<PacketXh>::size);
+  mask = __riscv_vmflt_vv_f16m1_b16(abs_a, limit, unpacket_traits<Packet1Xh>::size);
+  Packet1Xh signed_x = __riscv_vfsgnj_vv_f16m1(new_x, x, unpacket_traits<Packet1Xh>::size);
+  return __riscv_vmerge_vvm_f16m1(x, signed_x, mask, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pfloor<PacketXh>(const PacketXh& a) {
-  PacketXh tmp = print<PacketXh>(a);
+EIGEN_STRONG_INLINE Packet1Xh pfloor<Packet1Xh>(const Packet1Xh& a) {
+  Packet1Xh tmp = print<Packet1Xh>(a);
   // If greater, subtract one.
-  PacketMask16 mask = __riscv_vmflt_vv_f16m1_b16(a, tmp, unpacket_traits<PacketXh>::size);
-  return __riscv_vfsub_vf_f16m1_tumu(mask, tmp, tmp, static_cast<_Float16>(1.0), unpacket_traits<PacketXh>::size);
+  PacketMask16 mask = __riscv_vmflt_vv_f16m1_b16(a, tmp, unpacket_traits<Packet1Xh>::size);
+  return __riscv_vfsub_vf_f16m1_tumu(mask, tmp, tmp, static_cast<_Float16>(1.0), unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh preverse(const PacketXh& a) {
-  PacketXsu idx = __riscv_vrsub_vx_u16m1(__riscv_vid_v_u16m1(unpacket_traits<PacketXh>::size),
-                                         unpacket_traits<PacketXh>::size - 1, unpacket_traits<PacketXh>::size);
-  return __riscv_vrgather_vv_f16m1(a, idx, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh preverse(const Packet1Xh& a) {
+  Packet1Xsu idx = __riscv_vrsub_vx_u16m1(__riscv_vid_v_u16m1(unpacket_traits<Packet1Xh>::size),
+                                         unpacket_traits<Packet1Xh>::size - 1, unpacket_traits<Packet1Xh>::size);
+  return __riscv_vrgather_vv_f16m1(a, idx, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE Eigen::half predux<PacketXh>(const PacketXh& a) {
+EIGEN_STRONG_INLINE Eigen::half predux<Packet1Xh>(const Packet1Xh& a) {
   return static_cast<Eigen::half>(__riscv_vfmv_f(__riscv_vfredusum_vs_f16m1_f16m1(
-      a, __riscv_vfmv_v_f_f16m1(static_cast<_Float16>(0.0), unpacket_traits<PacketXh>::size),
-      unpacket_traits<PacketXh>::size)));
+      a, __riscv_vfmv_v_f_f16m1(static_cast<_Float16>(0.0), unpacket_traits<Packet1Xh>::size),
+      unpacket_traits<Packet1Xh>::size)));
 }
 
 template <>
-EIGEN_STRONG_INLINE Eigen::half predux_mul<PacketXh>(const PacketXh& a) {
+EIGEN_STRONG_INLINE Eigen::half predux_mul<Packet1Xh>(const Packet1Xh& a) {
   // Multiply the vector by its reverse
-  PacketXh prod = __riscv_vfmul_vv_f16m1(preverse(a), a, unpacket_traits<PacketXh>::size);
-  PacketXh half_prod;
+  Packet1Xh prod = __riscv_vfmul_vv_f16m1(preverse(a), a, unpacket_traits<Packet1Xh>::size);
+  Packet1Xh half_prod;
 
   if (EIGEN_RISCV64_RVV_VL >= 1024) {
-    half_prod = __riscv_vslidedown_vx_f16m1(prod, 16, unpacket_traits<PacketXh>::size);
-    prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<PacketXh>::size);
+    half_prod = __riscv_vslidedown_vx_f16m1(prod, 16, unpacket_traits<Packet1Xh>::size);
+    prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<Packet1Xh>::size);
   }
   if (EIGEN_RISCV64_RVV_VL >= 512) {
-    half_prod = __riscv_vslidedown_vx_f16m1(prod, 8, unpacket_traits<PacketXh>::size);
-    prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<PacketXh>::size);
+    half_prod = __riscv_vslidedown_vx_f16m1(prod, 8, unpacket_traits<Packet1Xh>::size);
+    prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<Packet1Xh>::size);
   }
   if (EIGEN_RISCV64_RVV_VL >= 256) {
-    half_prod = __riscv_vslidedown_vx_f16m1(prod, 4, unpacket_traits<PacketXh>::size);
-    prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<PacketXh>::size);
+    half_prod = __riscv_vslidedown_vx_f16m1(prod, 4, unpacket_traits<Packet1Xh>::size);
+    prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<Packet1Xh>::size);
   }
   // Last reduction
-  half_prod = __riscv_vslidedown_vx_f16m1(prod, 2, unpacket_traits<PacketXh>::size);
-  prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<PacketXh>::size);
+  half_prod = __riscv_vslidedown_vx_f16m1(prod, 2, unpacket_traits<Packet1Xh>::size);
+  prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<Packet1Xh>::size);
 
-  half_prod = __riscv_vslidedown_vx_f16m1(prod, 1, unpacket_traits<PacketXh>::size);
-  prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<PacketXh>::size);
+  half_prod = __riscv_vslidedown_vx_f16m1(prod, 1, unpacket_traits<Packet1Xh>::size);
+  prod = __riscv_vfmul_vv_f16m1(prod, half_prod, unpacket_traits<Packet1Xh>::size);
 
   // The reduction is done to the first element.
   return pfirst(prod);
 }
 
 template <>
-EIGEN_STRONG_INLINE Eigen::half predux_min<PacketXh>(const PacketXh& a) {
+EIGEN_STRONG_INLINE Eigen::half predux_min<Packet1Xh>(const Packet1Xh& a) {
   const Eigen::half max = (std::numeric_limits<Eigen::half>::max)();
   return static_cast<Eigen::half>(__riscv_vfmv_f(__riscv_vfredmin_vs_f16m1_f16m1(
-      a, __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(max), unpacket_traits<PacketXh>::size),
-      unpacket_traits<PacketXh>::size)));
+      a, __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(max), unpacket_traits<Packet1Xh>::size),
+      unpacket_traits<Packet1Xh>::size)));
 }
 
 template <>
-EIGEN_STRONG_INLINE Eigen::half predux_max<PacketXh>(const PacketXh& a) {
+EIGEN_STRONG_INLINE Eigen::half predux_max<Packet1Xh>(const Packet1Xh& a) {
   const Eigen::half min = (std::numeric_limits<Eigen::half>::min)();
   return static_cast<Eigen::half>(__riscv_vfmv_f(__riscv_vfredmax_vs_f16m1_f16m1(
-      a, __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(min), unpacket_traits<PacketXh>::size),
-      unpacket_traits<PacketXh>::size)));
+      a, __riscv_vfmv_v_f_f16m1(numext::bit_cast<_Float16>(min), unpacket_traits<Packet1Xh>::size),
+      unpacket_traits<Packet1Xh>::size)));
 }
 
 template <int N>
-EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<PacketXh, N>& kernel) {
-  Eigen::half buffer[unpacket_traits<PacketXh>::size * N];
+EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet1Xh, N>& kernel) {
+  Eigen::half buffer[unpacket_traits<Packet1Xh>::size * N];
   int i = 0;
 
   for (i = 0; i < N; i++) {
     __riscv_vsse16(reinterpret_cast<_Float16*>(&buffer[i]), N * sizeof(Eigen::half), kernel.packet[i],
-                   unpacket_traits<PacketXh>::size);
+                   unpacket_traits<Packet1Xh>::size);
   }
 
   for (i = 0; i < N; i++) {
-    kernel.packet[i] = __riscv_vle16_v_f16m1(reinterpret_cast<_Float16*>(&buffer[i * unpacket_traits<PacketXh>::size]),
-                                             unpacket_traits<PacketXh>::size);
+    kernel.packet[i] = __riscv_vle16_v_f16m1(reinterpret_cast<_Float16*>(&buffer[i * unpacket_traits<Packet1Xh>::size]),
+                                             unpacket_traits<Packet1Xh>::size);
   }
 }
 
-EIGEN_STRONG_INLINE Packet2Xf half2float(const PacketXh& a) {
+EIGEN_STRONG_INLINE Packet2Xf half2float(const Packet1Xh& a) {
   return __riscv_vfwcvt_f_f_v_f32m2(a, unpacket_traits<Packet2Xf>::size);
 }
 
-EIGEN_STRONG_INLINE PacketXh float2half(const Packet2Xf& a) {
-  return __riscv_vfncvt_f_f_w_f16m1(a, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xh float2half(const Packet2Xf& a) {
+  return __riscv_vfncvt_f_f_w_f16m1(a, unpacket_traits<Packet1Xh>::size);
 }
 
 /********************************* Packet2Xh ************************************/
@@ -774,8 +774,8 @@ EIGEN_STRONG_INLINE Eigen::half predux<Packet2Xh>(const Packet2Xh& a) {
 
 template <>
 EIGEN_STRONG_INLINE Eigen::half predux_mul<Packet2Xh>(const Packet2Xh& a) {
-  return predux_mul<PacketXh>(__riscv_vfmul_vv_f16m1(__riscv_vget_v_f16m2_f16m1(a, 0), __riscv_vget_v_f16m2_f16m1(a, 1),
-                                                     unpacket_traits<PacketXh>::size));
+  return predux_mul<Packet1Xh>(__riscv_vfmul_vv_f16m1(__riscv_vget_v_f16m2_f16m1(a, 0), __riscv_vget_v_f16m2_f16m1(a, 1),
+                                                     unpacket_traits<Packet1Xh>::size));
 }
 
 template <>
@@ -822,22 +822,22 @@ EIGEN_STRONG_INLINE Packet2Xh float2half(const Packet4Xf& a) {
 template <typename Packet = Packet2Xh>
 EIGEN_STRONG_INLINE
 typename std::enable_if<std::is_same<Packet, Packet2Xh>::value && (unpacket_traits<Packet2Xh>::size % 8) == 0,
-                        PacketXh>::type
+                        Packet1Xh>::type
 predux_half(const Packet2Xh& a) {
   return __riscv_vfadd_vv_f16m1(__riscv_vget_v_f16m2_f16m1(a, 0), __riscv_vget_v_f16m2_f16m1(a, 1),
-                                unpacket_traits<PacketXh>::size);
+                                unpacket_traits<Packet1Xh>::size);
 }
 
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, pcos)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, pexp)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, pexpm1)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, plog)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, plog1p)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, plog2)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, preciprocal)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, prsqrt)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, psin)
-F16_PACKET_FUNCTION(Packet2Xf, PacketXh, ptanh)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, pcos)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, pexp)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, pexpm1)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, plog)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, plog1p)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, plog2)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, preciprocal)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, prsqrt)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, psin)
+F16_PACKET_FUNCTION(Packet2Xf, Packet1Xh, ptanh)
 
 F16_PACKET_FUNCTION(Packet4Xf, Packet2Xh, pcos)
 F16_PACKET_FUNCTION(Packet4Xf, Packet2Xh, pexp)
@@ -863,22 +863,22 @@ struct type_casting_traits<numext::int16_t, _Float16> {
 };
 
 template <>
-EIGEN_STRONG_INLINE PacketXh pcast<PacketXs, PacketXh>(const PacketXs& a) {
-  return __riscv_vfcvt_f_x_v_f16m1(a, unpacket_traits<PacketXs>::size);
+EIGEN_STRONG_INLINE Packet1Xh pcast<Packet1Xs, Packet1Xh>(const Packet1Xs& a) {
+  return __riscv_vfcvt_f_x_v_f16m1(a, unpacket_traits<Packet1Xs>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXs pcast<PacketXh, PacketXs>(const PacketXh& a) {
-  return __riscv_vfcvt_rtz_x_f_v_i16m1(a, unpacket_traits<PacketXh>::size);
+EIGEN_STRONG_INLINE Packet1Xs pcast<Packet1Xh, Packet1Xs>(const Packet1Xh& a) {
+  return __riscv_vfcvt_rtz_x_f_v_i16m1(a, unpacket_traits<Packet1Xh>::size);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXh preinterpret<PacketXh, PacketXs>(const PacketXs& a) {
+EIGEN_STRONG_INLINE Packet1Xh preinterpret<Packet1Xh, Packet1Xs>(const Packet1Xs& a) {
   return __riscv_vreinterpret_v_i16m1_f16m1(a);
 }
 
 template <>
-EIGEN_STRONG_INLINE PacketXs preinterpret<PacketXs, PacketXh>(const PacketXh& a) {
+EIGEN_STRONG_INLINE Packet1Xs preinterpret<Packet1Xs, Packet1Xh>(const Packet1Xh& a) {
   return __riscv_vreinterpret_v_f16m1_i16m1(a);
 }
 
@@ -903,29 +903,29 @@ EIGEN_STRONG_INLINE Packet2Xs preinterpret<Packet2Xs, Packet2Xh>(const Packet2Xh
 }
 
 template <>
-EIGEN_STRONG_INLINE Packet4Xs pcast<PacketXh, Packet4Xs>(const PacketXh& a, const PacketXh& b, const PacketXh& c,
-                                                               const PacketXh& d) {
-  return __riscv_vcreate_v_i16m1_i16m4(__riscv_vfcvt_rtz_x_f_v_i16m1(a, unpacket_traits<PacketXh>::size),
-                                       __riscv_vfcvt_rtz_x_f_v_i16m1(b, unpacket_traits<PacketXh>::size),
-                                       __riscv_vfcvt_rtz_x_f_v_i16m1(c, unpacket_traits<PacketXh>::size),
-                                       __riscv_vfcvt_rtz_x_f_v_i16m1(d, unpacket_traits<PacketXh>::size));
+EIGEN_STRONG_INLINE Packet4Xs pcast<Packet1Xh, Packet4Xs>(const Packet1Xh& a, const Packet1Xh& b, const Packet1Xh& c,
+                                                               const Packet1Xh& d) {
+  return __riscv_vcreate_v_i16m1_i16m4(__riscv_vfcvt_rtz_x_f_v_i16m1(a, unpacket_traits<Packet1Xh>::size),
+                                       __riscv_vfcvt_rtz_x_f_v_i16m1(b, unpacket_traits<Packet1Xh>::size),
+                                       __riscv_vfcvt_rtz_x_f_v_i16m1(c, unpacket_traits<Packet1Xh>::size),
+                                       __riscv_vfcvt_rtz_x_f_v_i16m1(d, unpacket_traits<Packet1Xh>::size));
 }
 
 template <>
-EIGEN_STRONG_INLINE Packet2Xh pcast<PacketXs, Packet2Xh>(const PacketXs& a, const PacketXs& b) {
-  return __riscv_vcreate_v_f16m1_f16m2(__riscv_vfcvt_f_x_v_f16m1(a, unpacket_traits<PacketXs>::size),
-                                       __riscv_vfcvt_f_x_v_f16m1(b, unpacket_traits<PacketXs>::size));
+EIGEN_STRONG_INLINE Packet2Xh pcast<Packet1Xs, Packet2Xh>(const Packet1Xs& a, const Packet1Xs& b) {
+  return __riscv_vcreate_v_f16m1_f16m2(__riscv_vfcvt_f_x_v_f16m1(a, unpacket_traits<Packet1Xs>::size),
+                                       __riscv_vfcvt_f_x_v_f16m1(b, unpacket_traits<Packet1Xs>::size));
 }
 
 template <>
-EIGEN_STRONG_INLINE Packet2Xh pcast<PacketXh, Packet2Xh>(const PacketXh& a, const PacketXh& b) {
+EIGEN_STRONG_INLINE Packet2Xh pcast<Packet1Xh, Packet2Xh>(const Packet1Xh& a, const Packet1Xh& b) {
   return __riscv_vcreate_v_f16m1_f16m2(a, b);
 }
 
 template <>
-EIGEN_STRONG_INLINE Packet2Xs pcast<PacketXh, Packet2Xs>(const PacketXh& a, const PacketXh& b) {
-  return __riscv_vcreate_v_i16m1_i16m2(__riscv_vfcvt_rtz_x_f_v_i16m1(a, unpacket_traits<PacketXh>::size),
-                                       __riscv_vfcvt_rtz_x_f_v_i16m1(b, unpacket_traits<PacketXh>::size));
+EIGEN_STRONG_INLINE Packet2Xs pcast<Packet1Xh, Packet2Xs>(const Packet1Xh& a, const Packet1Xh& b) {
+  return __riscv_vcreate_v_i16m1_i16m2(__riscv_vfcvt_rtz_x_f_v_i16m1(a, unpacket_traits<Packet1Xh>::size),
+                                       __riscv_vfcvt_rtz_x_f_v_i16m1(b, unpacket_traits<Packet1Xh>::size));
 }
 
 }  // namespace internal
diff --git a/Eigen/src/Core/util/ConfigureVectorization.h b/Eigen/src/Core/util/ConfigureVectorization.h
index d41d05db1d7ce83f5c17b25ade22fc49dbbdda0e..f86d7a32228ac192a65c9bb287457471672340f5 100644
--- a/Eigen/src/Core/util/ConfigureVectorization.h
+++ b/Eigen/src/Core/util/ConfigureVectorization.h
@@ -467,6 +467,10 @@ extern "C" {
 #endif
 #endif
 
+#if defined(__riscv_zvfbfwma)
+#define EIGEN_VECTORIZE_RVV10BF16
+#endif
+
 #endif  // defined(EIGEN_ARCH_RISCV)
 
 #elif (defined __s390x__ && defined __VEC__)