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A note for preconditioning nonsymmetric matrices

A note for preconditioning nonsymmetric matrices
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摘要 In this paper, we consider preconditioners for generalized saddle point systems with a nonsymmetric coefficient matrix. A constraint preconditioner for this systems is constructed, and some spectral properties of the preconditioned matrix are given. Our results extend the corresponding ones in [3] and [4]. In this paper, we consider preconditioners for generalized saddle point systems with a nonsymmetric coefficient matrix. A constraint preconditioner for this systems is constructed, and some spectral properties of the preconditioned matrix are given. Our results extend the corresponding ones in [3] and [4].
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第1期93-100,共8页 高校应用数学学报(英文版)(B辑)
基金 Supported by the Natural Science Foundation of Guangdong Province (06025061, 91510224000002) the National Natural Science Foundation of China (10971075, 10671077) the State Key Laboratory of Scientific and Engineering Computing
关键词 PRECONDITIONER saddle point matrix minimal polynomial Schilder's factorization. Preconditioner, saddle point matrix, minimal polynomial, Schilder's factorization.
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参考文献8

  • 1Z Z Bai, K N Michael. On inexact preconditioners for nonsymmetric matrices, SIAM J Sci Comput, 2005, 26: 1710-1724.
  • 2M Benzi, G H Golub, J Liesen. Numerical solution of saddle point problems, Acta Numerica, 2005, 14: 1-137.
  • 3Z H Cao. A note on constraint preconditioning for nonsymmetric indefinite matrices, SIAM J Matrix Anal Appl, 2002, 21: 121-125.
  • 4Z H Cao. A class of constraint preconditioners for nonsymmetric saddle point matrices, Numer Math, 2006, 103: 47-61.
  • 5H S Dollar, A J Wathen. Incomplete factorization constraint preconditioners for saddle point matrices, Technical report, NA-04/01, Oxford University Computing Laboratory, Numerical Analysis Group, 2004.
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