IMPROVED CONVERGENCE THEOREM FOR THE GENERAL MODULUS-BASED MATRIX SPLITTING METHOD

In this note, based on the published work by Li [A general modulusbased matrix splitting method for linear complementarity problems of Hmatrices, Appl. Math. Lett. 26 (2013) 1159-1164], we further study the convergence property of the general modulus-based matrix splitting (GMMS) method for linear complementarity problems. A new sufficient condition of the GMMS method is obtained, which is weaker than the result in the above work.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240215
Primary Topic
Matrix Theory and Algorithms
Type
article
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article

IMPROVED CONVERGENCE THEOREM FOR THE GENERAL MODULUS-BASED MATRIX SPLITTING METHOD

Shi-Liang Wu, Yali Liu, Cui-Xia Li
Journal of Applied Analysis & Computation
Matrix Theory and Algorithms
article

IMPROVED CONVERGENCE THEOREM FOR THE GENERAL MODULUS-BASED MATRIX SPLITTING METHOD

Shi-Liang Wu, Yali Liu, Cui-Xia Li
article en

Abstract

In this note, based on the published work by Li [A general modulusbased matrix splitting method for linear complementarity problems of Hmatrices, Appl. Math. Lett. 26 (2013) 1159-1164], we further study the convergence property of the general modulus-based matrix splitting (GMMS) method for linear complementarity problems. A new sufficient condition of the GMMS method is obtained, which is weaker than the result in the above work.

Journal of Applied Analysis & ComputationVol. 15(2)
Openalex Percentile: Top 84%
Matrix Theory and Algorithms
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