On matrices with non-positive off-diagonal elements and positive principal minors
Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
Similarity:
Displaying similar documents to “Properties of the determinant of a rectangular matrix”
On matrices with non-positive off-diagonal elements and positive principal minors
A method of inverting matrices
Olga Porkorná (1970)
Aplikace matematiky
Similarity:
Properties of the determinant of a rectangular matrix
Anna Makarewicz, Piotr Pikuta, Dominik Szałkowski (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
Similarity:
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.
Permanents of Hessenberg (0,1)-matrices.
Olesky, D.D., Shader, Bryan, van den Driessche, P. (2005)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Nonsingularity and -matrices.
Jiří Rohn (1990)
Aplikace matematiky
Similarity:
New proofs of two previously published theorems relating nonsingularity of interval matrices to -matrices are given.
Counting determinants of Fibonacci-Hessenberg matrices using LU factorizations.
Li, Hsuan-Chu, Chen, Young-Ming, Tan, Eng-Tjioe (2009)
Integers
Similarity:
New results for EP matrices in indefinite inner product spaces
Ivana M. Radojević (2014)
Czechoslovak Mathematical Journal
Similarity:
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...
On a nonnegative irreducible matrix that is similar to a positive matrix
Raphael Loewy (2012)
Open Mathematics
Similarity:
Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.