Weakly chained diagonally dominant \(B\)-matrices and error bounds for linear complementarity problems
type: Item
instance of: scholarly article
title: Weakly chained diagonally dominant \(B\)-matrices and error bounds for linear complementarity problems
zbMATH Open document ID: 1362.65063
author: Chaoqian Li
author: Yaotang Li
published in: Numerical Algorithms
publication date: 2017-01-10T00:00:00Z
review text: The article is a valuable contribution to weakly chained diagonally dominant matrices. The authors investigate a subclass of \(P\)-matrices, so-called weakly chained diagonally dominant \(B\)-matrices. They consider error bounds for the linear complementarity problem for the cases where the involved matrix is a weakly chained diagonally dominant \(B\)-matrix. They study the sharpness of the proposed bounds on numerical examples. This article is well written, structured and explained, it contains four sections: Section 1 on Introduction, Section 2 on weakly chained diagonally dominant \(B\)-matrices, Section 3 on error bounds of the linear complementarity problem, and numerical examples are given in Section 4.
reviewed by: Başak Akteke-Öztürk
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C33
zbMATH DE Number: 6673279
zbMATH Keywords: error bounds
zbMATH Keywords: linear complementarity problem
zbMATH Keywords: weakly chained diagonally dominant \(B\)-matrices
zbMATH Keywords: \(P\)-matrices
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: s11075-016-0125-8
OpenAlex ID: W2310058991
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DOI: 10.1007/S11075-016-0125-8
description: scientific article; zbMATH DE number 6673279