Polynomial identities for hyper-matrices.
Tapia, Victor (2005)
Revista Colombiana de Matemáticas
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Displaying similar documents to “Infinite elementary divisor structure-preserving transformations for polynomial matrices”
Polynomial identities for hyper-matrices.
On the characteristic polynomial of matrices with prescribed columns and the stabilization and observability of linear systems.
Furtado, Susana, Silva, Fernando C. (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Matrix equations arising in regulator problems
Michael Šebek, Vladimír Kučera (1981)
Kybernetika
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To solving multiparameter problems of algebra. 7. The method of - factorization and its applications.
Kublanovskaya, V.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Existence of matrices with prescribed entries.
Ion Zaballa (1986)
Extracta Mathematicae
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An equivalent matrix pencilfor bivariate polynomial matrices
Mohamed Boudellioua (2006)
International Journal of Applied Mathematics and Computer Science
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In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
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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Condition numbers of Hessenberg companion matrices
Michael Cox, Kevin N. Vander Meulen, Adam Van Tuyl, Joseph Voskamp (2024)
Czechoslovak Mathematical Journal
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The Fiedler matrices are a large class of companion matrices that include the well-known Frobenius companion matrix. The Fiedler matrices are part of a larger class of companion matrices that can be characterized by a Hessenberg form. We demonstrate that the Hessenberg form of the Fiedler companion matrices provides a straight-forward way to compare the condition numbers of these matrices. We also show that there are other companion matrices which can provide a much smaller condition...