Error bounds for linear complementarity problems of S D D 1 " role="presentation" style="position: relative;"> S D D 1 S D D 1 SD{{D}_{1}} matrices and S D D 1 " role="presentation" style="position: relative;"> S D D 1 S D D 1 SD{{D}_{1}} - B " role="presentation" style="position: relative;"> B B B matrices

AIMS Mathematics

article

Yingxia Zhao¹  Lanlan Liu¹  Feng Wang¹ 

[1] College of Data Science and Information Engineering, Guizhou Minzu University

关键词: error bounds;    linear complementarity problems;    infinity norm;    $ SD{D_1} $ matrices;    $ SD{{D}_{1}} $-$ B $ matrices;    singular values;   

DOI  :  10.3934/math.2022662

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

An upper bound of the infinity norm for the inverse of $ SD{D_1} $ matrix is presented. We apply the new bound to linear complementarity problems (LCPs) and obtain an alternative error bound for LCPs of $ SD{D_1} $ matrices and $ SD{{D}_{1}} $-$ B $ matrices. In addition, a new lower bound for the smallest singular value is also given. Numerical examples show the validity of the results.

【 授权许可】

CC BY