Matrices with prescribed similarity class and a prescribed nonprincipal submatrix

Silva, Fernando C.

Displaying similar documents to “Matrices with prescribed similarity class and a prescribed nonprincipal submatrix”

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Dionísio, J. Joaquim (1954)

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Existence of matrices with prescribed entries.

Ion Zaballa (1986)

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Miroslav Fiedler (1984)

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Matrices which commute with a given matrix upon a subspace.

María Asunción Beitia (1986)

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We study in this paper the problem of the n-square matrices X which commute with the given matrix A upon a vector subspace E of F.

Diagonal similarity of matrices

Loewy, Raphael (1985-1986)

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Pentadiagonal Companion Matrices

Brydon Eastman, Kevin N. Vander Meulen (2016)

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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...

Infinite elementary divisor structure-preserving transformations for polynomial matrices

Nicholas Karampetakis, Stavros Vologiannidis (2003)

International Journal of Applied Mathematics and Computer Science

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The main purpose of this work is to propose new notions of equivalence between polynomial matrices that preserve both the finite and infinite elementary divisor structures. The approach we use is twofold: (a) the 'homogeneous polynomial matrix approach', where in place of the polynomial matrices we study their homogeneous polynomial matrix forms and use 2-D equivalence transformations in order to preserve their elementary divisor structure, and (b) the 'polynomial matrix approach', where...