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Research Article | Open Access

Infinity norm bounds for the inverse of SDD1+ matrices with applications

Lanlan Liu( ), Yuxue Zhu, Feng Wang, Yuanjie Geng
College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China
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Abstract

A new subclass of nonsingular H-matrix named SDD1+ matrices is studied in this paper. The relationships between SDD1+ matrices and other subclasses of nonsingular H-matrices are analyzed by numerical examples. Moreover, the infinity norm bounds of the inverse for SDD1+ matrices are derived in two different methods. As applications, two error bounds of the linear complementarity problems ( LCP) for SDD1+ matrices are given. Finally, the effectiveness of corresponding results is illustrated by numerical examples.

Keywords

H-matricesSDD1+ matricesinfinity norm boundslinear complementarity problemserror bounds
CLC number: 15A48, 65G50, 90C33, 90C31

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 21294-21320
DOI: 10.3934/math.20241034

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Cite this article:
Liu L, Zhu Y, Wang F, et al. Infinity norm bounds for the inverse of SDD1+ matrices with applications. AIMS Mathematics, 2024, 9(8): 21294-21320. https://doi.org/10.3934/math.20241034

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Received: 08 May 2024
Revised: 21 June 2024
Accepted: 24 June 2024
Published: 15 August 2024
©2024 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)