| 求解广义绝对值方程的Picard-GPSS迭代法 |
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| 引用本文： | 李旭,尹晓霞.求解广义绝对值方程的Picard-GPSS迭代法[J].山东大学学报(理学版),2021,56(12):26-32. |
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| 作者姓名： | 李旭 尹晓霞 |
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| 作者单位： | 兰州理工大学理学院,甘肃 兰州730050 |
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| 基金项目： | 甘肃省自然科学基金资助项目(20JR5RA464) |
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| 摘 要： | 利用内外迭代技术,构造了广义绝对值方程的Picard-GPSS迭代法,详细研究了收敛性理论。数值实验结果表明新方法的高效性,并且该方法在内迭代步数和CPU时间上均优于Picard-HSS迭代法。
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| 关 键 词： | 广义绝对值方程 线性互补问题 Picard迭代 广义正定和反Hermitian分裂 |
Picard-GPSS iteration method for solving the generalized absolute value equations |
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| LI Xu,YIN Xiao-xia.Picard-GPSS iteration method for solving the generalized absolute value equations[J].Journal of Shandong University,2021,56(12):26-32. |
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| Authors: | LI Xu YIN Xiao-xia |
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| Institution: | School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, China |
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| Abstract: | Based on the out-inner iteration, Picard-GPSS iteration method for solving the generalized absolute value equations is established. Convergence theory is studied in detail. Numerical experiments show that the proposed method is efficient and better than the Picard-HSS iteration method in terms of inner iteration steps and CPU time. |
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| Keywords: | generalized absolute value equation linear complementarity problem Picard iteration generalized positive-definite and skew-Hermitian splitting |
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