New convergence of modulus-based synchronous block multisplitting multi-parameter methods for linear complementarity problems
العنوان: | New convergence of modulus-based synchronous block multisplitting multi-parameter methods for linear complementarity problems |
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المؤلفون: | Li-Tao Zhang, Xing-Ping Liu, Liu-Wei Zhang, Tong-Xiang Gu, Yu-Xia Zhang |
المصدر: | Computational and Applied Mathematics. 36:481-492 |
بيانات النشر: | Springer Science and Business Media LLC, 2015. |
سنة النشر: | 2015 |
مصطلحات موضوعية: | Applied Mathematics, Mathematical analysis, Modulus, 010103 numerical & computational mathematics, 01 natural sciences, Linear complementarity problem, Complementarity (physics), 010101 applied mathematics, Computational Mathematics, Linear algebra, Applied mathematics, 0101 mathematics, System matrix, Multi parameter, Mathematics |
الوصف: | In 2013, Bai and Zhang (Numer Linear Algebra Appl 20:425–439, 2013) constructed modulus-based synchronous multisplitting methods by an equivalent reformulation of the linear complementarity problems into a system of fixed-point equations and studied their convergence. In 2014, Zhang and Li (Comput Math Appl 67:1954–1959, 2014) analyzed and obtained the weaker convergence results for linear complementarity problems. In this paper, based on their ideas, we further study modulus-based synchronous block multisplitting multi-parameter methods for linear complementarity problems. Furthermore, the convergence results of our new method in this paper are wider than those in literature when the system matrix is a block $$H_{+}$$ -matrix. Therefore, new results provide a guarantee for the optimal relaxation parameters. |
تدمد: | 1807-0302 0101-8205 |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::3a94cb03a9960579b24cf3acf47f42fe https://doi.org/10.1007/s40314-015-0238-z |
حقوق: | OPEN |
رقم الأكسشن: | edsair.doi...........3a94cb03a9960579b24cf3acf47f42fe |
قاعدة البيانات: | OpenAIRE |
تدمد: | 18070302 01018205 |
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