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Research Article | Open Access

Infinity norm upper bounds for the inverse of S D D k matrices

Xiaodong Wang, Feng Wang( )
College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou 550025, China
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Abstract

In this paper, we introduce a new subclass of H-matrices called S D D k matrices, which contains S D D matrices and S D D 1 matrices as special cases, and present some properties of S D D k matrices. Based on these properties, we also provide new infinity norm bounds for the inverse of S D D matrices and S D D k matrices. It is proved that these new bounds are better than some existing results in some cases. Numerical examples demonstrate the effectiveness of the obtained results.

Keywords

SDDk matricesSDD matricesSDD1 matricesinfinity normupper bound
CLC number: 15A18, 15A69, 65G50, 90C33

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 24999-25016
DOI: 10.3934/math.20231276

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Cite this article:
Wang X, Wang F. Infinity norm upper bounds for the inverse of S D D k matrices. AIMS Mathematics, 2023, 8(10): 24999-25016. https://doi.org/10.3934/math.20231276

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Received: 24 July 2023
Revised: 21 August 2023
Accepted: 22 August 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)