A parallel multisplitting method with self-adaptive weightings for solving H -matrix linear systems

Journal of inequalities and applications

Ruiping Wen¹ 

关键词: linear systems;    self-adaptive weightings;    convergence;    parallel multisplitting;    H-matrix;   

DOI  :  10.1186/s13660-017-1370-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a parallel multisplitting iterative method with the self-adaptive weighting matrices is presented for the linear system of equations when the coefficient matrix is an H-matrix. The zero pattern in weighting matrices is determined in advance, while the non-zero entries of weighting matrices are determined by finding the optimal solution in a hyperplane of α points generated by the parallel multisplitting iterations. Especially, the nonnegative restriction of weighting matrices is released. The convergence theory is established for the parallel multisplitting method with self-adaptive weightings. Finally, a numerical example shows that the parallel multisplitting iterative method with the self-adaptive weighting matrices is effective.

【 授权许可】

CC BY