The number of solutions of in triangular matrices over .
Ekhad, Shalosh B., Zeilberger, Doron (1996)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Integer sequences and matrices over finite fields.”
The number of solutions of in triangular matrices over .
A note of equivalence classes of matrices over a finite field.
Brawley, J.V., Mullen, Gary L. (1981)
International Journal of Mathematics and Mathematical Sciences
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A simple cocyclic Jacket matrices.
Lee, Moon Ho, Feng, Gui-Liang, Chen, Zhu (2008)
Mathematical Problems in Engineering
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Random matrices, magic squares and matching polynomials.
Diaconis, Persi, Gamburd, Alex (2004)
The Electronic Journal of Combinatorics [electronic only]
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Netted matrices.
Stănică, Pantelimon (2003)
International Journal of Mathematics and Mathematical Sciences
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Pentadiagonal Companion Matrices
Brydon Eastman, Kevin N. Vander Meulen (2016)
Special Matrices
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The class of sparse companion matrices was recently characterized in terms of unit Hessenberg matrices. We determine which sparse companion matrices have the lowest bandwidth, that is, we characterize which sparse companion matrices are permutationally similar to a pentadiagonal matrix and describe how to find the permutation involved. In the process, we determine which of the Fiedler companion matrices are permutationally similar to a pentadiagonal matrix. We also describe how to find...
The difference matrices of the classes of a Sharma-Kaushik partition
Bhu Dev Sharma, Norris Sookoo (2004)
Archivum Mathematicum
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Sharma-Kaushik partitions have been used to define distances between vectors with -coordinates. In this paper, “difference matrices” for the partitioning classes have been introduced and investigated. It has been shown that the difference matrices are circulant and that the entries of a product of matrices is an extended intersection number of a distance scheme. The sum of the entries of each row or columns of the product matrix has been obtained. The algebra of matrices generated by...
Combinatorial aspects of generalized complementary basic matrices
Miroslav Fiedler, Frank Hall (2013)
Open Mathematics
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This paper extends some properties of the generalized complementary basic matrices, in particular, in a combinatorial direction. These include inheritance (such as for Alternating Sign Matrices), spectral, and sign pattern matrix (including sign nonsingularity) properties.
Characterization of α1 and α2-matrices
Rafael Bru, Ljiljana Cvetković, Vladimir Kostić, Francisco Pedroche (2010)
Open Mathematics
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This paper deals with some properties of α1-matrices and α2-matrices which are subclasses of nonsingular H-matrices. In particular, new characterizations of these two subclasses are given, and then used for proving algebraic properties related to subdirect sums and Hadamard products.