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求解奇异鞍点问题的GPHSS-GSOR迭代法的半收敛性 被引量：2

The Semi-Convergence of the GPHSS-GSOR Method for Singular Saddle Point Problems
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摘要 在Hermitian与反Hermitian分裂(HSS)迭代法和广义的SOR(GSOR)迭代法的基础上,把针对非奇异鞍点问题的PHSS-SOR分裂迭代方法推广至广义的PHSS-SOR(GPHSS-GSOR)分裂迭代法,并用于奇异鞍点问题的求解.详细分析了求解奇异鞍点问题的GPHSS-GSOR迭代法的半收敛性,用数值实验验证了新算法的有效性. Based on the Hermitian and skew‐Hermitian splitting (HSS ) iterative method and the general‐ized SOR (GSOR) iterative method ,the PHSS‐SOR iterative method for solving nonsingular saddle point problems is extended as a generalized PHSS‐SOR (GPHSS‐GSOR) iterative method .The new method is used to solve the singular saddle point problems .The semi‐convergence of the GPHSS‐GSOR for solving the singular saddle point problems is studied in detail .Numerical experiments are used to test the validity of the new method .
作者 曾闽丽 林则安 林智期
机构地区 莆田学院数学学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2015年第6期76-80,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金项目(61373140) 福建省高校服务海西建设重点项目(2008HX03)
关键词 奇异鞍点问题 迭代法 半收敛性 singular saddle point problems iterative method semi-convergence
分类号 O241.6 [理学—计算数学]
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参考文献11

  • 1Zhong-Zhi Bai,Zeng-Qi Wang.On parameterized inexact Uzawa methods for generalized saddle point problems[J]. Linear Algebra and Its Applications . 2008 (11)
  • 2Bing Zheng,Zhong-Zhi Bai,Xi Yang.On semi-convergence of parameterized Uzawa methods for singular saddle point problems[J]. Linear Algebra and Its Applications . 2009 (5)
  • 3Zhong-Zhi Bai,Beresford N. Parlett,Zeng-Qi Wang.On generalized successive overrelaxation methods for augmented linear systems[J]. Numerische Mathematik . 2005 (1)
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  • 6Michele Benzi,Gene H Golub,Jo?rg Liesen.Numerical solution of saddle point problems. Acta Numerica . 2005
  • 7Naimin Zhang,Tzon-Tzer Lu,Yimin Wei.Semi-convergence analysis of Uzawa methods for singular saddle point problems[J]. Journal of Computational and Applied Mathematics . 2014
  • 8Guo-Feng Zhang,Shan-Shan Wang.A generalization of parameterized inexact Uzawa method for singular saddle point problems[J]. Applied Mathematics and Computation . 2013 (9)
  • 9雍龙泉.迭代法求解实对称矩阵绝对值方程[J].西南大学学报（自然科学版）,2012,34(5):32-37. 被引量：14
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共引文献28

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二级引证文献2

西南大学学报（自然科学版）
2015年 第6期

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