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

Yali Liu; Shiliang Wu; Cuixia Li

doi:10.11948/20240215

2025 Volume 15 Issue 2

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Yali Liu, Shiliang Wu, Cuixia Li. IMPROVED CONVERGENCE THEOREM FOR THE GENERAL MODULUS-BASED MATRIX SPLITTING METHOD[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 951-957. doi: 10.11948/20240215

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Yali Liu, Shiliang Wu, Cuixia Li. IMPROVED CONVERGENCE THEOREM FOR THE GENERAL MODULUS-BASED MATRIX SPLITTING METHOD[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 951-957. doi: 10.11948/20240215

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

1.
Faculty of Information Engineering, The College of Arts and Sciences·Kunming, Kunming, Yunnan 650222, China
2.
School of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China
3.
Yunnan Key Laboratory of Modern Analytical Mathematics and Applications, Yunnan Normal University, Kunming, Yunnan 650500, China

Author Bio: Email: liuyali80818@126.com(Y. Liu); Email: wushiliang1999@126.com(S. Wu)
Corresponding author: Email: lixiatkynu@126.com(C. Li)

Abstract

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.
- Linear complementarity problems /
- GMMS method /
- convergence
MSC: 65F10, 90C33

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References

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