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