Počet záznamů: 1  

Convergence of GMRES for Tridiagonal Toeplitz Matrices

  1. 1.
    0103272 - UIVT-O 20040013 RIV US eng J - Článek v odborném periodiku
    Liesen, J. - Strakoš, Zdeněk
    Convergence of GMRES for Tridiagonal Toeplitz Matrices.
    [Konvergence metody GMRES pro třídiagonální Toeplitzovské matice.]
    SIAM Journal on Matrix Analysis and Applications. Roč. 26, č. 1 (2004), s. 233-251. ISSN 0895-4798. E-ISSN 1095-7162
    Grant CEP: GA ČR GA201/02/0595
    Výzkumný záměr: CEZ:AV0Z1030915
    Klíčová slova: Krylov subspace methods * GMRES * minimal residual methods * convergence analysis * Jordan blocks * Toeplitz matrices
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.727, rok: 2004
    DOI: https://doi.org/10.1137/S0895479803424967

    Citováno: 14

    --- MASTRONARDI, N. - VAN BAREL, M. - VAN CAMP, E. - VANDEBRIL, R. On computing the eigenvectors of a class of structured matrices. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427, MAY 1 2006, vol. 189, no. 1-2, p. 580-591. [WOS]
    --- SIMONCINI, V. - SZYLD, D.B. The effect of non-optimal bases on the convergence of Krylov subspace methods. NUMERISCHE MATHEMATIK. ISSN 0029-599X, JUN 2005, vol. 100, no. 4, p. 711-733. [WOS]
    --- SIMONCINI, V. - SZYLD, D.B. Recent computational developments in Krylov subspace methods for linear systems. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, FEB 2007, vol. 14, no. 1, p. 1-59. [WOS]
    --- LI, R.C. Convergence of cg and gmres on a tridiagonal toeplitz linear system. BIT NUMERICAL MATHEMATICS. ISSN 0006-3835, SEP 2007, vol. 47, no. 3, p. 577-599. [WOS]
    --- LI, R.C. - ZHANG, W. The rate of convergence of GMRES on a tridiagonal toeplitz linear system. II. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, DEC 1 2009, vol. 431, no. 12, Sp. Iss. SI, p. 2425-2436. [WOS]
    --- LI, R.C. - ZHANG, W. The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. NUMERISCHE MATHEMATIK. ISSN 0029-599X, APR 2009, vol. 112, no. 2, p. 267-293. [WOS]
    --- PESTANA, J. - WATHEN, A.J. A PRECONDITIONED MINRES METHOD FOR NONSYMMETRIC TOEPLITZ MATRICES. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2015, vol. 36, no. 1, p. 273-288. [WOS]
    --- MEURANT, G. - TEBBENS, J.D. The role eigenvalues play in forming GMRES residual norms with non-normal matrices. NUMERICAL ALGORITHMS. ISSN 1017-1398, JAN 2015, vol. 68, no. 1, p. 143-165. [WOS]
    --- GUTTEL, S. - PESTANA, J. Some observations on weighted GMRES. NUMERICAL ALGORITHMS. ISSN 1017-1398, DEC 2014, vol. 67, no. 4, p. 733-752. [WOS]
    --- TITLEY-PELOQUIN, D. - PESTANA, J. - WATHEN, A.J. GMRES convergence bounds that depend on the right-hand-side vector. IMA JOURNAL OF NUMERICAL ANALYSIS. ISSN 0272-4979, APR 2014, vol. 34, no. 2, p. 462-479. [WOS]
    --- MORGAN, R.B. - YANG, Z. - ZHONG, B.J. Pseudoeigenvector bases and deflated GMRES for highly nonnormal matrices. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. ISSN 1070-5325, DEC 2016, vol. 23, no. 6, p. 1032-1045. [WOS]
    --- IMAKURA, A. - LI, R.C. - ZHANG, S.L. Locally optimal and heavy ball GMRES methods. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS. ISSN 0916-7005, JUL 2016, vol. 33, no. 2, p. 471-499. [WOS]
    --- DOOSTAKI, R. - GOUGHERY, H.S. The upper and lower bounds for generalized minimal residual method on a tridiagonal Toeplitz linear system. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. ISSN 0020-7160, MAR 3 2016, vol. 93, no. 3, p. 567-577. [WOS]
    --- SACCHI, G. - SIMONCINI, V. A GMRES CONVERGENCE ANALYSIS FOR LOCALIZED INVARIANT SUBSPACE ILL-CONDITIONING. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2019, vol. 40, no. 2, p. 542-563. [WOS]
    Trvalý link: http://hdl.handle.net/11104/0010584
     
Počet záznamů: 1  

  Tyto stránky využívají soubory cookies, které usnadňují jejich prohlížení. Další informace o tom jak používáme cookies.