Počet záznamů: 1

Combined matrices in special classes of matrices

  1. 1.
    0360426 - UIVT-O 2012 RIV US eng J - Článek v odborném periodiku
    Fiedler, Miroslav - Markham, T. L.
    Combined matrices in special classes of matrices.
    Linear Algebra and Its Applications. Roč. 435, č. 8 (2011), s. 1945-1955 ISSN 0024-3795
    Výzkumný záměr: CEZ:AV0Z10300504
    Klíčová slova: combined matrix * Hadamard product * positive definite matrix * M-matrix * totally positive matrix * oscillatory matrix * Cauchy matrix
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.974, rok: 2011

    The combined matrix of a nonsingular matrix A is the matrix A o (A(-1))(T), where o means the Hadamard (entrywise) product. It has simple properties, its row- as well as column-sums are always one, and it is not changed if A is multiplied from either side by a nonsingular diagonal matrix. Although it is usually difficult to compute, its further properties deserve attention. In the paper, we concentrate on the sequence of the diagonal entries of combined matrices in various classes of matrices.
    Trvalý link: http://hdl.handle.net/11104/0197986