أعرض في EDS

New convergence of modulus-based synchronous block multisplitting multi-parameter methods for linear complementarity problems

التفاصيل البيبلوغرافية
العنوان: New convergence of modulus-based synchronous block multisplitting multi-parameter methods for linear complementarity problems
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
الوصف
تدمد:18070302
01018205