Systolic computation of the matrix exponential and other matrix functions

This paper discusses the systolic implementation of the computation of the exponential of a matrix by means of techniques involving "scaling and squaring" as applied to the Taylor series approximation. Further, it is shown that a number of other matrix functions, such as A -1 A 1/2 A -1/2...

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Vydáno v:International journal of computer mathematics Ročník 25; číslo 3-4; s. 345 - 358
Hlavní autoři: Evans, D.J., Margaritis, K.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Gordon and Breach Science Publishers 01.01.1988
Taylor and Francis
Témata:
Algorithmics. Computability. Computer arithmetics
Applied sciences
B7.1
Computer science; control theory; systems
Exact sciences and technology
F1.1
F2.1
matrix exponential
matrix functions
scaling and matrix squaring
Systolic design
Theoretical computing
Numerical analysis
VLSI circuit
Matrix calculus
Parallel processing
Systolic network
Algorithm
Exponential function
ISSN:0020-7160, 1029-0265
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Shrnutí:This paper discusses the systolic implementation of the computation of the exponential of a matrix by means of techniques involving "scaling and squaring" as applied to the Taylor series approximation. Further, it is shown that a number of other matrix functions, such as A -1 A 1/2 A -1/2 cos(A), sin(A), log(A), can be computed systolically using similar techniques.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207168808803677