Počet záznamů: 1  

A Note on Strongly Dense Matrices

  1. 1. 0457691 - UIVT-O 2016 RIV DE eng J - Článek v odborném periodiku
    Fiedler, Miroslav - Hall, F.J.
    A Note on Strongly Dense Matrices.
    European Journal of Mathematics. Roč. 1, č. 4 (2015), s. 721-730 ISSN 2199-675X
    Institucionální podpora: RVO:67985807
    Klíčová slova: strongly dense matrix * Boolean matrix * nonnegative matrix * idempotent matrix * intrinsic product * generalized complementary basic matrix
    Kód oboru RIV: BA - Obecná matematika

    In this note, strongly dense matrices are defined and some basic properties of these matrices are obtained. In particular, it is shown that for nonnegative and Boolean matrices, the product of conformable strongly dense matrices is strongly dense. Structural characterizations are presented for the idempotent nonnegative strongly dense matrices, as well as for the idempotent Boolean strongly dense matrices with a full diagonal. Connections with generalized complementary basic matrices are made.
    Trvalý link: http://hdl.handle.net/11104/0258065