On matrices with non-positive off-diagonal elements and positive principal minors
Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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Ivana M. Radojević (2014)
Czechoslovak Mathematical Journal
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In this paper we study -EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and -EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by...
Olga Porkorná (1970)
Aplikace matematiky
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Anna Makarewicz, Piotr Pikuta, Dominik Szałkowski (2014)
Annales UMCS, Mathematica
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In this paper we present new identities for the Radić’s determinant of a rectangular matrix. The results include representations of the determinant of a rectangular matrix as a sum of determinants of square matrices and description how the determinant is affected by operations on columns such as interchanging columns, reversing columns or decomposing a single column
Jiří Rohn (1990)
Aplikace matematiky
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New proofs of two previously published theorems relating nonsingularity of interval matrices to -matrices are given.