Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic

DOI10.1137/151004847zbMath1365.65093OpenAlexW2602274431MaRDI QIDQ5346753

Froilán M. Dopico, Susana Furtado, María Isabel Bueno

Publication date: 29 May 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/151004847

zbMATH Keywords

algorithmeigenvaluelinearizationcongruencestrong linearizationHermitian matrix polynomialsign characteristicgeneralized Fiedler pencil

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items

Unnamed Item ⋮ Constructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev Bases ⋮ Automatic recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler pencils with repetition ⋮ Structured backward error analysis of linearized structured polynomial eigenvalue problems ⋮ On the sign characteristic of Hermitian linearizations in \(\mathbb{DL}(P)\) ⋮ Palindromic linearizations of palindromic matrix polynomials of odd degree obtained from Fiedler-like pencils ⋮ Explicit block-structures for block-symmetric Fiedler-like pencils ⋮ Large vector spaces of block-symmetric strong linearizations of matrix polynomials ⋮ Constructing symmetric structure-preserving strong linearizations

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