Norm Estimates for the Inverses of Strictly Diagonally Dominant $M$-Matrices and Linear Complementarity Problems
Year: 2021
Author: Yebo Xiong, Jianzhou Liu
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 487–514
Abstract
A partition reduction method is used to obtain two new upper bounds for the inverses of strictly diagonally dominant $M$-matrices. The estimates are expressed via the determinants of third order matrices. Numerical experiments with various random matrices show that they are stable and better than the estimates presented in literature. We use these upper bounds in order to improve known error estimates for linear complementarity problems with $B$-matrices.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.210820.161120
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 487–514
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Strictly diagonally dominant matrix $M$-matrix linear complementarity problem inverse infinity norm bound.