Linearizations of polynomial matrices with symmetries and their applications

DOI10.13001/1081-3810.1222zbMath1172.15007OpenAlexW2177331927MaRDI QIDQ5469435

Efstathios N. Antoniou, Stavros Vologiannidis

Publication date: 18 May 2006

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/130691

zbMATH Keywords

linearizationpolynomial matrixcompanion formself-adjoint polynomial matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (11)

Jordan structures of alternating matrix polynomials ⋮ Structured strong $\boldsymbol{\ell}$-ifications for structured matrix polynomials in the monomial basis ⋮ Counting Fiedler pencils with repetitions ⋮ Strongly Minimal Self-Conjugate Linearizations for Polynomial and Rational Matrices ⋮ Structured strong linearizations from Fiedler pencils with repetition. I. ⋮ Structured backward error analysis of linearized structured polynomial eigenvalue problems ⋮ A permuted factors approach for the linearization of polynomial matrices ⋮ Trimmed linearizations for structured matrix polynomials ⋮ On the reduction of \(2-D\) polynomial systems into first order equivalent models ⋮ Structured strong linearizations from Fiedler pencils with repetition. II ⋮ Large vector spaces of block-symmetric strong linearizations of matrix polynomials

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