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Research Article | Open Access

Error bounds for linear complementarity problems of S D D 1 matrices and S D D 1 - B matrices

Yingxia Zhao, Lanlan Liu, Feng Wang( )
College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou 550025, China
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Abstract

An upper bound of the infinity norm for the inverse of S D D 1 matrix is presented. We apply the new bound to linear complementarity problems (LCPs) and obtain an alternative error bound for LCPs of S D D 1 matrices and S D 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.

Keywords

error boundslinear complementarity problemsinfinity normSDD1 matricesSDD1-B matricessingular values
CLC number: 15A48, 65G50, 90C31, 90C33

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 11862-11878
DOI: 10.3934/math.2022662

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Cite this article:
Zhao Y, Liu L, Wang F. Error bounds for linear complementarity problems of S D D 1 matrices and S D D 1 - B matrices. AIMS Mathematics, 2022, 7(7): 11862-11878. https://doi.org/10.3934/math.2022662

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Received: 10 December 2021
Revised: 25 March 2022
Accepted: 06 April 2022
Published: 15 July 2022
©2022 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)