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Linear Algebra and its Applications
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Linear Algebra and its Applications
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Spectral equivalence of matrix polynomials and the Index Sum Theorem

Spectral equivalence of matrix polynomials and the index sum theorem
Authors: De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven;

Spectral equivalence of matrix polynomials and the Index Sum Theorem

Abstract

This research was partially supported by Ministerio de Ciencia e Innovación of Spain through grant MTM-2009-09281, and by Ministerio de Economía y Competitividad of Spain through grant MTM2012-32542.

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, Minimal indices, Eigenvalues, singular values, and eigenvectors, spectral equivalence, Canonical forms, reductions, classification, Matemáticas, Linearization, Structured matrixes, linearization, elementary divisors, companion forms, Unimodular, Polynomials, Matrix algebra., Matrices over function rings in one or more variables, Indexing (materials working), matrix pencil, Matrix pencil, partial multiplicity sequence, Structural indices, Elementary divisors, matrix polynomial, quadratification, Regular, \(\ell\)-ification, Eigenvalues and eigenfunctions, Spectral equivalence, regular, Companion form, index sum theorem, Matrix polynomials, minimal indices, Quadratification, structured matrix polynomials, Singular, unimodular equivalence, Index Sum Theorem, Set theory, Matrix pencils, singular, Algorithms, Partial multiplicity sequence, structural indices

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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