Infinity norm bounds for the inverse of Quasi-SDDk SDD k matrices with applications

被引：0
|
作者：
Li, Qin [1 ]
Ran, Wenwen [1 ]
Wang, Feng [1 ]
机构：
[1] Guizhou Minzu Univ, Coll Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2024年
关键词：
Infinity norm bounds; Error bounds; Linear complementarity problems; QSDD(k) matrices; H-matrices; LINEAR COMPLEMENTARITY-PROBLEMS; ERROR-BOUNDS;
D O I：
10.1007/s11075-024-01949-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new subclass of H-matrices named Quasi-SDDk (for shortly, QSDDk) matrices, present some properties of QSDD(k) k matrices, and discuss the relationship among QSDD(k) matrices and other subclasses of H-matrices. Moreover, the infinity norm bounds for the inverse of Q SDDk matrices and error bounds for the linear complementarity problems of QSDD(k) matrices are given, which improve some existing results. Numerical examples are given to illustrate the validity of new results.
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页数：25
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