diff --git a/CMakeLists.txt b/CMakeLists.txt
index 44cf5fe15445dcc8b2b39d792f7d5b227da48852..b9215f15ec41001c7caacaf7cfa62fa22707a5e9 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -101,19 +101,19 @@ endif()
 file(READ "${PROJECT_SOURCE_DIR}/Eigen/Version" _eigen_version_header)
 if (NOT DEFINED EIGEN_WORLD_VERSION)
   string(REGEX MATCH "define[ \t]+EIGEN_WORLD_VERSION[ \t]+([0-9]+)" _eigen_world_version_match "${_eigen_version_header}")
-  set(EIGEN_WORLD_VERSION "${CMAKE_MATCH_1}")
+  set(EIGEN_WORLD_VERSION "${CMAKE_MATCH_1}" CACHE STRING "")
 endif()
 if (NOT DEFINED EIGEN_MAJOR_VERSION)
   string(REGEX MATCH "define[ \t]+EIGEN_MAJOR_VERSION[ \t]+([0-9]+)" _eigen_major_version_match "${_eigen_version_header}")
-  set(EIGEN_MAJOR_VERSION "${CMAKE_MATCH_1}")
+  set(EIGEN_MAJOR_VERSION "${CMAKE_MATCH_1}" CACHE STRING "")
 endif()
 if (NOT DEFINED EIGEN_MINOR_VERSION)
   string(REGEX MATCH "define[ \t]+EIGEN_MINOR_VERSION[ \t]+([0-9]+)" _eigen_minor_version_match "${_eigen_version_header}")
-  set(EIGEN_MINOR_VERSION "${CMAKE_MATCH_1}")
+  set(EIGEN_MINOR_VERSION "${CMAKE_MATCH_1}" CACHE STRING "")
 endif()
 if (NOT DEFINED EIGEN_PATCH_VERSION)
   string(REGEX MATCH "define[ \t]+EIGEN_PATCH_VERSION[ \t]+([0-9]+)" _eigen_patch_version_match "${_eigen_version_header}")
-  set(EIGEN_PATCH_VERSION "${CMAKE_MATCH_1}")
+  set(EIGEN_PATCH_VERSION "${CMAKE_MATCH_1}" CACHE STRING "")
 endif()
 if (NOT DEFINED EIGEN_PRERELEASE_VERSION)
   set(EIGEN_PRERELEASE_VERSION "dev")
@@ -135,18 +135,18 @@ endif()
 if (NOT DEFINED EIGEN_BUILD_VERSION AND DEFINED EIGEN_GIT_REVNUM)
   string(SUBSTRING "${EIGEN_GIT_REVNUM}" 0 8 EIGEN_BUILD_VERSION)
 else()
-  set(EIGEN_BUILD_VERSION "")
+  set(EIGEN_BUILD_VERSION "" CACHE STRING "")
 endif()
 
 # The EIGEN_VERSION_NUMBER must be of the form <major.minor.patch>.
 # The EIGEN_VERSION_STRING can contain the preprelease/build strings.
-set(EIGEN_VERSION_NUMBER "${EIGEN_MAJOR_VERSION}.${EIGEN_MINOR_VERSION}.${EIGEN_PATCH_VERSION}")
-set(EIGEN_VERSION_STRING "${EIGEN_VERSION_NUMBER}")
+set(EIGEN_VERSION_NUMBER "${EIGEN_MAJOR_VERSION}.${EIGEN_MINOR_VERSION}.${EIGEN_PATCH_VERSION}" CACHE STRING "")
+set(EIGEN_VERSION_STRING "${EIGEN_VERSION_NUMBER}" CACHE STRING "")
 if (NOT "x${EIGEN_PRERELEASE_VERSION}" STREQUAL "x")
-  set(EIGEN_VERSION_STRING "${EIGEN_VERSION_STRING}-${EIGEN_PRERELEASE_VERSION}")
+  set(EIGEN_VERSION_STRING "${EIGEN_VERSION_STRING}-${EIGEN_PRERELEASE_VERSION}" CACHE STRING "")
 endif()
 if (NOT "x${EIGEN_BUILD_VERSION}" STREQUAL "x")
-  set(EIGEN_VERSION_STRING "${EIGEN_VERSION_STRING}+${EIGEN_BUILD_VERSION}")
+  set(EIGEN_VERSION_STRING "${EIGEN_VERSION_STRING}+${EIGEN_BUILD_VERSION}" CACHE STRING "")
 endif()
 
 
diff --git a/blas/CMakeLists.txt b/blas/CMakeLists.txt
index 45488d73d515991e5034938cdd6b2f2b71f0ed72..c8a28851b936a7dcf6fc58dc1946eb02b94f97a7 100644
--- a/blas/CMakeLists.txt
+++ b/blas/CMakeLists.txt
@@ -21,7 +21,9 @@ list(APPEND EIGEN_BLAS_TARGETS eigen_blas_static)
 if (EIGEN_BUILD_SHARED_LIBS)
   add_library(eigen_blas SHARED ${EigenBlas_SRCS} "eigen_blas.def")
   target_compile_definitions(eigen_blas PUBLIC "EIGEN_BLAS_BUILD_DLL")
-  set_target_properties(eigen_blas PROPERTIES CXX_VISIBILITY_PRESET hidden)
+  set_target_properties(eigen_blas PROPERTIES CXX_VISIBILITY_PRESET hidden
+    VERSION ${EIGEN_VERSION_NUMBER}
+    SOVERSION ${EIGEN_MAJOR_VERSION})
   list(APPEND EIGEN_BLAS_TARGETS eigen_blas)
 endif()
 
diff --git a/lapack/CMakeLists.txt b/lapack/CMakeLists.txt
index d837fff960558921a45e100b8f4a81b03c9a2900..51bb455160585480a82a2e57afd7277978c0f79a 100644
--- a/lapack/CMakeLists.txt
+++ b/lapack/CMakeLists.txt
@@ -110,7 +110,9 @@ if (EIGEN_BUILD_SHARED_LIBS)
   # Build LAPACK but link BLAS.
   target_compile_definitions(eigen_lapack PUBLIC "EIGEN_BLAS_LINK_DLL" "EIGEN_LAPACK_BUILD_DLL")
   target_link_libraries(eigen_lapack  eigen_blas)
-  set_target_properties(eigen_lapack PROPERTIES CXX_VISIBILITY_PRESET hidden)
+  set_target_properties(eigen_lapack PROPERTIES CXX_VISIBILITY_PRESET hidden
+    VERSION ${EIGEN_VERSION_NUMBER}
+    SOVERSION ${EIGEN_MAJOR_VERSION})
   list(APPEND EIGEN_LAPACK_TARGETS eigen_lapack)
 endif()