井冈山大学学报（自然科学版）2026，Vol.47Issue(2)：18-30,13.DOI:10.3969/j.issn.1674-8085.2026.02.003
S-Nekrasov型矩阵逆的无穷大范数上界及其应用
Upper bound of the infinity norm for the inverse of S-Nekrasovtype matrices and its applications
摘要
Abstract
A new class of matrices,called S-Nekrasov type(SN-type)matrices,is introduced and proved to be a subclass of nonsingular H-matrices.The relations among strictly diagonally dominant(SDD)matrices and other subclasses of H-matrices are discussed.Moreover,the infinity norm bounds for the inverse of SN-type matrices and error bounds of the linear complementarity problems for SN-type matrices are given,which improve some existing results.Numerical examples demonstrate that the error bounds for computing SN-type matrix linear complementarity problems using the new results are superior to the effectiveness of existing results.关键词
S-Nekrasov型矩阵/H-矩阵/无穷大范数/上界/线性互补问题/误差界Key words
S-Nekrasov type matrix/H-matrix/infinity norm/upper bound/linear complementary problem/error bound分类
数理科学引用本文复制引用
周家冰,王小东,王峰..S-Nekrasov型矩阵逆的无穷大范数上界及其应用[J].井冈山大学学报（自然科学版）,2026,47(2):18-30,13.基金项目
国家自然科学基金项目(11601473) （11601473）
贵州省科学技术基金项目(GCC2023027) （GCC2023027）
贵州省教育厅自然科学基金项目(QJJ2023012) （QJJ2023012）
贵州民族大学科研基金项目(GZMUZK2023YB10) （GZMUZK2023YB10）
