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Research Article | Open Access

New criteria for nonsingular H-matrices

Panpan Liu, Haifeng Sang( ), Min Li, Guorui Huang, He Niu
School of Mathematics and Statistics, Beihua University, Jilin 132013, China
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Abstract

In this paper, according to the theory of two classes of α-diagonally dominant matrices, the row index set of the matrix is divided properly, and then some positive diagonal matrices are constructed. Furthermore, some new criteria for nonsingular H-matrix are obtained. Finally, numerical examples are given to illustrate the effectiveness of the proposed criteria.

Keywords

diagonally dominant matrixα-diagonally dominant matrixnonsingular H-matrixcriterianumerical examples
CLC number: 15A57

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 17484-17502
DOI: 10.3934/math.2023893

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Cite this article:
Liu P, Sang H, Li M, et al. New criteria for nonsingular H-matrices. AIMS Mathematics, 2023, 8(8): 17484-17502. https://doi.org/10.3934/math.2023893

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Received: 06 March 2023
Revised: 27 April 2023
Accepted: 07 May 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 (https://creativecommons.org/licenses/by/4.0)