Počet záznamů: 1

G-matrices

  1. 1.
    0367339 - UIVT-O 2012 RIV US eng J - Článek v odborném periodiku
    Fiedler, Miroslav - Hall, F.J.
    G-matrices.
    Linear Algebra and Its Applications. Roč. 436, č. 3 (2012), s. 731-741 ISSN 0024-3795
    Výzkumný záměr: CEZ:AV0Z10300504
    Klíčová slova: G-matrix * Cauchy matrix * sign pattern matrix * potentially orthogonal sign pattern
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.968, rok: 2012

    We define a new type of matrix called G-matrix as a real nonsingular matrix A for which there exist nonsingular diagonal matrices D1 and D2 such that (A-1)T=D1AD2. Many special matrices are G-matrices including (generalized) Cauchy matrices and orthogonal matrices. A number of properties of G-matrices are obtained. Sign patterns of G-matrices are also investigated.
    Trvalý link: http://hdl.handle.net/11104/0202055