Open AccessDOI
Note on error bounds for linear complementarity problems involving $ B^S $-matrices
Deshu Sun
- Vol. 7, Iss: 2, pp 1896-1906
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The article was published on 2022-01-01 and is currently open access. It has received 1 citations till now. The article focuses on the topics: Diagonally dominant matrix & Complementarity (molecular biology).read more
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Book
The Linear Complementarity Problem
TL;DR: In this article, the authors present an overview of existing and multiplicity of degree theory and propose pivoting methods and iterative methods for degree analysis, including sensitivity and stability analysis.
Journal ArticleDOI
Computation of Error Bounds for P-matrix Linear Complementarity Problems
Xiaojun Chen,Shuhuang Xiang +1 more
TL;DR: New error bounds are given for the linear complementarity problem where the involved matrix is a P-matrix and an error bound can be found by solving a linear system of equations, which is sharper than the Mathias-Pang error bound.
Journal ArticleDOI
Perturbation Bounds of P-Matrix Linear Complementarity Problems
Xiaojun Chen,Shuhuang Xiang +1 more
TL;DR: A new fundamental constant associated with a P-matrix is defined and it is shown that this constant has various useful properties for the P-Matrix linear complementarity problems (LCP) and defines a measure of sensitivity of the solution of the LCP.
Journal ArticleDOI
A Class of P -Matrices with Applications to the Localization of the Eigenvalues of a Real Matrix
TL;DR: A matrix with positive row sums and all its off-diagonal elements bounded above by their corresponding row means is called a B-matrix and it is proved that the class of B-Matrices is a subset of theclass of P-matrices.