The Rank-$k$ Updating Algorithm for the Exact Inversion of Matrices with Integer Elements

The Rank-$k$ Updating Algorithm for the Exact Inversion of Matrices with Integer Elements

Year:    1992

Author:    Jian-Xin Deng

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 4 : pp. 296–300

Abstract

In this paper, the numerical solution of the matrix problems over a ring of integers is discussed. The rank-$k$ updating algorithm for the exact inversion of a matrix is proposed. This algorithm is generally more effective than Jordan elimination. The common divisor of the numbers involved is reduced to avoid over-swelling of intermediate numbers.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1992-JCM-9362

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 4 : pp. 296–300

Published online:    1992-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:   

Author Details

Jian-Xin Deng