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On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm

  1. 1.
    0330308 - ÚI 2010 RIV US eng J - Journal Article
    Liesen, J. - Tichý, Petr
    On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm.
    [O nejlepší aproximaci maticových polynomů ve 2-normě matice.]
    SIAM Journal on Matrix Analysis and Applications. Roč. 31, č. 2 (2009), s. 853-863. ISSN 0895-4798. E-ISSN 1095-7162
    R&D Projects: GA AV ČR IAA100300802
    Institutional research plan: CEZ:AV0Z10300504
    Keywords : matrix approximation problems * polynomials in matrices * matrix functions * matrix 2-norm * GMRES * Arnoldi's method
    Subject RIV: BA - General Mathematics
    Impact factor: 2.411, year: 2009

    Cited: 6

    --- GROVER, P. Orthogonality to matrix subspaces, and a distance formula. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, MAR 15 2014, vol. 445, p. 280-288. [WOS]
    --- LI, Q.N. ALTERNATING DIRECTION METHOD FOR A CLASS OF CONSTRAINED MATRIX APPROXIMATION PROBLEMS. PACIFIC JOURNAL OF OPTIMIZATION. ISSN 1348-9151, OCT 2012, vol. 8, no. 4, p. 765-778. [WOS]
    --- CHEN, C.H. - LIU, Y.J. - SUN, D.F. - TOH, K.C. A semismooth Newton-CG based dual PPA for matrix spectral norm approximation problems. MATHEMATICAL PROGRAMMING. ISSN 0025-5610, JAN 2016, vol. 155, no. 1-2, p. 435-470. [WOS]
    --- PUY, G. - PEREZ, P. Structured sampling and fast reconstruction of smooth graph signals. INFORMATION AND INFERENCE-A JOURNAL OF THE IMA. ISSN 2049-8764, DEC 2018, vol. 7, no. 4, p. 657-688. [WOS]
    --- GREENBAUM, A. - KYANFAR, F. - SALEMI, A. On the convergence rate of DGMRES. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, SEP 1 2018, vol. 552, p. 219-238. [WOS]
    --- SHARON, N. - SHKOLNISKY, Y. Evaluating non-analytic functions of matrices. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. ISSN 0022-247X, JUN 1 2018, vol. 462, no. 1, p. 613-636. [WOS]

    Permanent Link: http://hdl.handle.net/11104/0176128
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