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Volume 10, Issue 4
The Rank-$k$ Updating Algorithm for the Exact Inversion of Matrices with Integer Elements

Jian-Xin Deng

J. Comp. Math., 10 (1992), pp. 296-300.

Published online: 1992-10

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  • 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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@Article{JCM-10-296, author = {Deng , Jian-Xin}, title = {The Rank-$k$ Updating Algorithm for the Exact Inversion of Matrices with Integer Elements}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9362.html} }
TY - JOUR T1 - The Rank-$k$ Updating Algorithm for the Exact Inversion of Matrices with Integer Elements AU - Deng , Jian-Xin JO - Journal of Computational Mathematics VL - 4 SP - 296 EP - 300 PY - 1992 DA - 1992/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9362.html KW - AB -

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.

Jian-Xin Deng. (1970). The Rank-$k$ Updating Algorithm for the Exact Inversion of Matrices with Integer Elements. Journal of Computational Mathematics. 10 (4). 296-300. doi:
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