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Even et al., 2005 - Google Patents

A parametric error analysis of Goldschmidt's division algorithm

Even et al., 2005

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Document ID
8222217240482076528
Author
Even G
Seidel P
Ferguson W
Publication year
Publication venue
Journal of Computer and System Sciences

External Links

Snippet

Back in the 1960s Goldschmidt presented a variation of Newton–Raphson iterations for division that is well suited for pipelining. The problem in using Goldschmidt's division algorithm is to present an error analysis that enables one to save hardware by using just the …
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Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
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    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/52—Multiplying; Dividing
    • G06F7/523—Multiplying only
    • G06F7/53—Multiplying only in parallel-parallel fashion, i.e. both operands being entered in parallel
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
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    • G06F7/52—Multiplying; Dividing
    • G06F7/523—Multiplying only
    • G06F7/533—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even
    • G—PHYSICS
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    • G—PHYSICS
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    • G06F7/52—Multiplying; Dividing
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    • G06F7/724—Finite field arithmetic
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