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Research Article | Open Access

Global error bounds for the extended vertical LCP of ∑−SDD matrices

School of Dianchi College of Yunnan University, Yunnan 650228, China
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Abstract

An error bound for the solution of the ∑−SDD matrix extended vertical linear complementarity problem is given when the ∑−SDD matrix satisfies the row W-property. It is shown by the illustrative example that the new bound is better than those in [1] in some cases.

Keywords

extended vertical linear complementarity problemerror bound∑−SDD matrices
CLC number: 65H14

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 24326-24335
DOI: 10.3934/math.20241183

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Gan M. Global error bounds for the extended vertical LCP of ∑−SDD matrices. AIMS Mathematics, 2024, 9(9): 24326-24335. https://doi.org/10.3934/math.20241183

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Received: 22 May 2024
Revised: 19 July 2024
Accepted: 26 July 2024
Published: 15 September 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)