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丁戬, 殷俊锋
丁戬, 殷俊锋. 求解一类非线性互补问题的松弛two-sweep模系矩阵分裂迭代法[J]. 计算数学, 2021, 43(1): 118-132.
Ding Jian, Yin Junfeng. THE RELAXATION TWO-SWEEP MODULUS-BASED MATRIX SPLITTING ITERATION METHODS FOR A CLASS OF NONLINEAR COMPLEMENTARITY PROBLEMS[J]. Mathematica Numerica Sinica, 2021, 43(1): 118-132.
Ding Jian, Yin Junfeng
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[1] Berman A and Plemmons R J. Nonnegative Matrix in the Mathematical Sciences[M]. Academic Press, 1979. [2] Cottle R, Pang J S, Stone R. The Linear Complementarity Problem[M]. Academic, San Diego, 1992. [3] Ferris M C, Pang J S. Engineering and economic applications of complementarity problems[M]. Siam Review, 1997, 39:669-713. [4] Bai Z Z. Modulus-based matrix splitting iteration methods for linear complementarity problems[J]. Numerical Linear Algebra with Applications, 2010, 17:917-933. [5] Zhang L L. Two-step modulus based matrix splitting iteration for linear complementarity problems[J]. Numerical Algorithms, 2011, 57:83-99. [6] Zheng N, Yin J F. Accelerated modulus-based matrix splitting iteration methods for linear complementarity problems[J]. Numerical Algorithms. 2013, 64:245-262. [7] Wu S L. Li C X. Two-sweep modulus-based matrix splitting iteration methods for linear complementarity problems[J]. Journal of Computational and Applied Mathematics, 2016, 302:327-339. [8] Xia Z C, Li C L. Modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problem[J]. Applied Mathematics and Computation, 2015, 271:34-42. [9] Li R, Yin J F. Accelerated modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems[J]. Numerical Algorithms, 2017, 75:339-358. [10] Huang N, Ma C F. The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems[J]. Numerical Linear Algebra with Applications, 2016, 23:558-569. [11] Huang B H, Ma C F. Accelerated modulus-based matrix splitting iteration method for a class of nonlinear complementarity problems[J]. Computational and Applied Mathematics, 2018, 37:3053-3076. [12] 李蕊,殷俊锋. 两步模系矩阵分裂算法求解弱非线性互补问题.同济大学学报:自然科学版[J]. 2017, 45:296-301. [13] Peng X F, Wang M, Li W. A Relaxation Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems[J]. East Asian Journal on Applied Mathematics, 2019, 9:102-121. [14] Zheng H. Li W. Vong S W. A relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems[J]. Numerical Algorithms, 2017, 74:137-152. [15] 李郴良,孙芳莉,黄杰彬. 一类非线性互补问题的模系矩阵分裂的Two-sweep方法.高等学校计算数学学报[J]. 2019, 41:209-223. [16] Frommer A, Mayer G. Convergence of relaxed parallel multisplitting methods[J]. Linear Algebra and its Applications, 1989, 119:141-152. [17] Shen S Q, Huang T Z. Convergence and comparison theorems for double splittings of matrices[J]. Computers and Mathematics with Applications, 2006, 51:1751-1760. |
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