Note on error bounds for linear complementarity problems involving $ B^S $-matrices | Zendy

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Note on error bounds for linear complementarity problems involving $ B^S $-matrices

Author(s) -

Deshu Sun

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2022109

Subject(s) - diagonally dominant matrix , mathematics , linear complementarity problem , complementarity (molecular biology) , matrix (chemical analysis) , inverse , matrix norm , combinatorics , invertible matrix , pure mathematics , eigenvalues and eigenvectors , physics , geometry , chemistry , nonlinear system , chromatography , quantum mechanics , biology , genetics

Using the range for the infinity norm of inverse matrix of a strictly diagonally dominant $ M $-matrix, some new error bounds for the linear complementarity problem are obtained when the involved matrix is a $ B^S $-matrix. Theory analysis and numerical examples show that these upper bounds are more accurate than some existing results.

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