A Note on Strongly Dense Matrices

0457691 - ÚI 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