期刊文献+

鞍点问题基于半增广的松弛分裂预条件子

A Relaxed Splitting Preconditioner Base on Incomplete Augmentation for Saddle Point Problems
下载PDF
导出
摘要 对于(1,1)块为正定的鞍点问题,本文给出了半增广松弛分裂预条件子.文中分析了预条件矩阵特征值分布情况,并用数值实验验证了半增广松弛分裂预条件子的有效性. A relaxed splitting preconditioner base on incomplete augmentation is presented for the saddle point problems with positive definite (1, 1 ) blocks. Properties of the preconditioned matrix are analyzed. Numerical experiments are illustrated to show the efficiency of the new preconditioner.
出处 《大学数学》 2017年第2期20-26,共7页 College Mathematics
基金 四川省教育厅科研项目(14ZB0293)
关键词 鞍点问题 预条件 特征值 迭代法 saddle points preconditioner iterative method eigenvalues
  • 相关文献

参考文献2

二级参考文献11

  • 1H.ANDREWS,AND B.HUNT.Digital Image Restoration[]..1977
  • 2M.BENZI,AND G.H.GOLUB.A preconditioner for generalized saddle point problems[].SIAM Journal on Matrix Analysis and Applications.2004
  • 3M.BENZI,G.H.GOLUB,AND J.LIESEN.Numerical solution of saddle point problems[].Acta Numerica.2005
  • 4M.BENZI,AND M.K.NG.Preconditioned iterative methods for weighted Toeplitz least squares problems[].SIAM Journal on Matrix Analysis and Applications.
  • 5H.ELMAN,D.SILVESTER,AND A.WATHEN.Finite Elements and Fast lterative Solvers:With Applications in Incompressible Fluid Dynamics[]..2005
  • 6G.H.GOLUB,AND C.F.VAN LOAN.Matrix Computations[]..1996
  • 7E-R.LIN,M.K.NG,AND W.-K.CHING.Factorized banded inverse preconditioners for matrices with Toeplitz structure[].SIAM Journal on Scientific Computing.2005
  • 8V.SIMONCINI,AND M.BENZI.Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems[].SIAM Journal on Matrix Analysis and Applications.2004
  • 9Bai Z Z,,Golub G H,NG M K.Hermitian and skew-hermitian splitting methods for non-hermitian positive definite linear systems[].SIAM Journal on Matrix Analysis and Applications.2003
  • 10Fessler J A,Booth S D.Conjugate-gradient preconditioning methods for shift-variant PET image reconstruction[].IEEE Signal Transactions Image Processing.1999

共引文献4

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部