期刊文献+

线性方程组的二级松弛多分裂迭代方法

Relaxed Two-stage Multisplitting Methods for Linear Systems
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摘要 在线性方程组的二级分裂算法的基础上,对二级分裂的内迭代运用矩阵多分裂并行运算并与外迭代点进行松弛运算得到一类求解线性方程组的二级松弛多分裂迭代方法.当问题的系数矩阵为正对角元的H矩阵时给出了算法的收敛性. In this paper, we set up relaxed two-stage muhisplitting methods for method use outer splitting and parallel alhernating inner splittings. Convergence presented when the coefficient matrix is an H-matrix and the splittings used are linear systems with relaxed resauh for this method are H-splitting
出处 《内蒙古民族大学学报(自然科学版)》 2012年第2期148-150,共3页 Journal of Inner Mongolia Minzu University:Natural Sciences
基金 内蒙古自然科学基金资助项目(2011MS0114)
关键词 线性方程组 矩阵多分裂 二级分裂 松弛迭代方法 Linear System Muhisplitting Two-stage method Relaxed herative Method
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参考文献5

  • 1Dianne P.O'Leary, R.E.White. Multi-splittings of Matrices and Parallel Solution of Linear Systems[J]. SIAM J. Algebraic Discrete Method, 1985(6):630-640.
  • 2Jea Heon Yun. Convergence of Relaxed Two-stage Muhisplitting Method Using an Outer Splitting[J]. Korean Math. Soc, 2010(4):pp.727-741.
  • 3Meiqun Jiang, Junliang Dong. On convergence of two-stage splitting methods for linear complementarity problems [J]. Journal of Computational and Applied Mathematics, 2005(181):58-69.
  • 4陈景亮,陈向晖.特殊矩阵[M].北京:清华大学出版社,2001.
  • 5David M. Young. Iterative solution of large linear systems[M].New York and London:Academic Press,1971.

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