A preconditioned general modulus-based matrix splitting iteration method for linear complementarity problems of <Emphasis Type="Italic">H</Emphasis>-matrices |
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Authors: | Xianping Wu Xiaofei Peng Wen Li |
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Institution: | 1.School of Applied Mathematics,Guangdong University of Technology,Guangzhou,China;2.School of Mathematical Sciences,South China Normal University,Guangzhou,China |
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Abstract: | In this paper, we propose a preconditioned general modulus-based matrix splitting iteration method for solving modulus equations arising from linear complementarity problems. Its convergence theory is proved when the system matrix is an H+-matrix, from which some new convergence conditions can be derived for the (general) modulus-based matrix splitting iteration methods. Numerical results further show that the proposed methods are superior to the existing methods. |
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