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Subjects
15-XX Linear and multilinear algebra; matrix theory
15Axx Basic linear algebra
15A15 Determinants, permanents, other special matrix functions

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Displaying 1 – 6 of 6

Hall exponents of matrices, tournaments and their line digraphs

Richard A. Brualdi, Kathleen P. Kiernan (2011)

Czechoslovak Mathematical Journal

Let $A$ be a square $(0, 1)$ -matrix. Then $A$ is a Hall matrix provided it has a nonzero permanent. The Hall exponent of $A$ is the smallest positive integer $k$ , if such exists, such that $A^{k}$ is a Hall matrix. The Hall exponent has received considerable attention, and we both review and expand on some of its properties. Viewing $A$ as the adjacency matrix of a digraph, we prove several properties of the Hall exponents of line digraphs with some emphasis on line digraphs of tournament (matrices).

Hankel determinants and the Sylvester theorem. (Déterminants de Hankel et théorème de Sylvester.)

Radoux, Christian (1992)

Séminaire Lotharingien de Combinatoire [electronic only]

Hankel determinants of some sequences of polynomials.

Sivasubramanian, Sivaramakrishnan (2010)

Séminaire Lotharingien de Combinatoire [electronic only]

Hankel transforms of linear combinations of Catalan numbers.

Dougherty, Michael, French, Christopher, Saderholm, Benjamin, Qian, Wenyang (2011)

Journal of Integer Sequences [electronic only]

Hidden relations for the Smith invariants of a matrix sum

Marques de Sá, Eduardo (1990)

Portugaliae mathematica

How tight is Hadamard's bound?

Abbott, John, Mulders, Thom (2001)

Experimental Mathematics

Currently displaying 1 – 6 of 6

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