@Article{JCM-10-4, author = {Jian-Xin, Deng}, 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/1992-JCM-9362}, url = {https://global-sci.com/article/85960/the-rank-k-updating-algorithm-for-the-exact-inversion-of-matrices-with-integer-elements} }