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 - <p style="text-align: justify;">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.</p>