Matrix processors using p-adic arithmetic for exact linear computations

Krishnamurthy, E. V. (1977) Matrix processors using p-adic arithmetic for exact linear computations IEEE Transactions on Computers, C-26 (7). pp. 633-639. ISSN 0018-9340

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Official URL: http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arn...

Related URL: http://dx.doi.org/10.1109/TC.1977.1674895

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.

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