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Matrix Processors Using p-adic Arithmetic for Exact Linear Computations

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1 Author(s)
Krishnamurthy, E.V. ; Department of Applied Mathematics, Indian Institute of Science

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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Computers, IEEE Transactions on  (Volume:C-26 ,  Issue: 7 )