Issue No.07 - July (1977 vol.26)
E.V. Krishnamurthy , 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.
Computational complexity, exact linear computation, Galois-field arithmetic, Gaussian elimination, linear equations, matrix processor, p-adic arithmetic, rational arithmetic, residue arithmetic.
E.V. Krishnamurthy, "Matrix Processors Using p-adic Arithmetic for Exact Linear Computations", IEEE Transactions on Computers, vol.26, no. 7, pp. 633-639, July 1977, doi:10.1109/TC.1977.1674895