Open AccessNote on error bounds for linear complementarity problems involving $ B^S $-matrices
Author(s) -
Defeng Sun
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022109
Subject(s) - diagonally dominant matrix , mathematics , linear complementarity problem , complementarity (molecular biology) , matrix (chemical analysis) , inverse , matrix norm , combinatorics , invertible matrix , pure mathematics , eigenvalues and eigenvectors , physics , geometry , chemistry , nonlinear system , chromatography , quantum mechanics , biology , genetics
Using the range for the infinity norm of inverse matrix of a strictly diagonally dominant $ M $-matrix, some new error bounds for the linear complementarity problem are obtained when the involved matrix is a $ B^S $-matrix. Theory analysis and numerical examples show that these upper bounds are more accurate than some existing results.