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Research Article | Open Access

A new error bound for linear complementarity problems involving B −matrices

Hongmin Mo( ), Yingxue Dong
College of Mathematics and Statistics, Jishou University, Jishou 416000, China
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Abstract

In this paper, a new error bound for the linear complementarity problems of B −matrices which is a subclass of the P −matrices is presented. Theoretical analysis and numerical example illustrate that the new error bound improves some existing results.

Keywords

Bmatriceslinear complementarity problemserror boundsdiagonally dominant matrices
CLC number: 65G50, 90C31, 90C33

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 23889-23899
DOI: 10.3934/math.20231218

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Mo H, Dong Y. A new error bound for linear complementarity problems involving B −matrices. AIMS Mathematics, 2023, 8(10): 23889-23899. https://doi.org/10.3934/math.20231218

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Received: 20 October 2022
Revised: 20 February 2023
Accepted: 26 February 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)