General convergence results of the modulus-based methods for vertical nonlinear complementarity problems

In this work, the general convergence analysis of the modulus-based matrix splitting iteration method for vertical nonlinear complementarity problems with H -matrices is proposed, which can extend the existing results given in Xie et al. (J Appl Math Comput 69: 2987–3003, 2023). Moreover, the propos...

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Bibliographic Details
Published inComputational & applied mathematics Vol. 43; no. 4
Main Authors Kong, Yuting, Lu, Xiaoping, Zheng, Hua
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2024
Springer Nature B.V
Subjects
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Convergence
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Vertical nonlinear complementarity problem
Modulus-based method
65F10
matrix
90C33
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Summary:In this work, the general convergence analysis of the modulus-based matrix splitting iteration method for vertical nonlinear complementarity problems with H -matrices is proposed, which can extend the existing results given in Xie et al. (J Appl Math Comput 69: 2987–3003, 2023). Moreover, the proposed conditions are much simpler and easier to check. Finally, the effectiveness of the theoretical results are verified by numerical examples. The proposed results can enrich the convergence theory and enlarge the application spectrum of the modulus-based methods.
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ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-024-02693-8