DocumentCode
1135185
Title
Matrix Processors Using p-adic Arithmetic for Exact Linear Computations
Author
Krishnamurthy, E.V.
Author_Institution
Department of Applied Mathematics, Indian Institute of Science
Issue
7
fYear
1977
fDate
7/1/1977 12:00:00 AM
Firstpage
633
Lastpage
639
Abstract
A unique code (called Hensel´s code) is derived for a rational number by truncating its infinite p-adic expansion. The four basic arithmetic algorithms for these codes are described and their application to rational matrix computations is demonstrated by solving a system of linear equations exactly, using the Gaussian elimination procedure.
Keywords
Computational complexity, exact linear computation, Galois-field arithmetic, Gaussian elimination, linear equations, matrix processor, p-adic arithmetic, rational arithmetic, residue arithmetic.; Africa; Computational complexity; Equations; Floating-point arithmetic; Galois fields; Mathematics; Roundoff errors; Symmetric matrices; Computational complexity, exact linear computation, Galois-field arithmetic, Gaussian elimination, linear equations, matrix processor, p-adic arithmetic, rational arithmetic, residue arithmetic.;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/TC.1977.1674895
Filename
1674895
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