Swapping 2 x 2 blocks in the Schur and generalized Schur form

被引:3
作者
Camps, Daan [1 ]
Mastronardi, Nicola [2 ]
Vandebril, Raf [1 ]
Van Dooren, Paul [3 ]
机构
[1] Katholieke Univ Leuven, Dept Comp Sci, Leuven, Belgium
[2] CNR, Ist Applicaz Calcolo M Picone, Sede Di Bari, Italy
[3] Catholic Univ Louvain, Dept Math Engn, Louvain La Neuve, Belgium
关键词
Eigenvalues; Schur form; Reordering Schur form; Stability;
D O I
10.1016/j.cam.2019.05.022
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we describe how to swap two 2 x 2 blocks in a real Schur form and a generalized real Schur form. We pay special attention to the numerical stability of the method. We also illustrate the stability of our approach by a series of numerical tests. (C) 2019 Elsevier B.V. All rights reserved.
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页数:8
相关论文
共 10 条
  • [1] [Anonymous], [No title captured]
  • [2] [Anonymous], [No title captured]
  • [3] [Anonymous], [No title captured]
  • [4] BAI ZJ, 1993, LINEAR ALGEBRA APPL, V186, P73
  • [5] GENERALIZED RATIONAL KRYLOV DECOMPOSITIONS WITH AN APPLICATION TO RATIONAL APPROXIMATION
    Berljafa, Mario
    Guettel, Stefan
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2015, 36 (02) : 894 - 916
  • [6] BOJANCZYK A., 1993, NATO ASI SERIES E, P351
  • [7] KAGSTROM B, 1993, NATO ADV SCI INST SE, V232, P195
  • [8] Stewart G. W., 1976, ACM Transactions on Mathematical Software, V2, P275, DOI 10.1145/355694.355700
  • [9] A GENERALIZED EIGENVALUE APPROACH FOR SOLVING RICCATI-EQUATIONS
    VANDOOREN, P
    [J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1981, 2 (02): : 121 - 135
  • [10] DSUBSP AND EXCHQZ - FORTRAN SUBROUTINES FOR COMPUTING DEFLATING SUBSPACES WITH SPECIFIED SPECTRUM
    VANDOOREN, P
    [J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1982, 8 (04): : 376 - 382