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Research Article | Open Access

Some new results for B 1 -matrices

Yan Li, Yaqiang Wang( )
School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji, Shaanxi 721013, China
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Abstract

The class of B 1 -matrices is a subclass of P-matrices and introduced as a generalization of B-matrices. In this paper, we present several properties for B 1 -matrices. Then, the infinity norm upper bound for the inverse of B 1 -matrices is obtained. Furthermore, the error bound for the linear complementarity problem of B 1 -matrices is presented. Finally, some numerical examples are given to illustrate our results.

Keywords

B1-matricesSDD1-matricesP-matricesinfinity normlinear complementarity problem

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Electronic Research Archive
Volume 31 Issue 8,
August 2023
Pages 4773-4787
DOI: 10.3934/era.2023244

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Li Y, Wang Y. Some new results for B 1 -matrices. Electronic Research Archive, 2023, 31(8): 4773-4787. https://doi.org/10.3934/era.2023244

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Received: 29 March 2023
Revised: 03 June 2023
Accepted: 18 June 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

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