Structured strong linearizations from Fiedler pencils with repetition. II

DOI10.1016/j.laa.2014.08.029zbMath1310.65042OpenAlexW2085537506MaRDI QIDQ744133

D. Kharzeev

Publication date: 6 October 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.08.029

zbMATH Keywords

matrix polynomialpolynomial eigenvalue problemcompanion formFiedler pencils with repetitionalternating linearizationskew-symmetric linearization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Related Items (15)

Block minimal bases \(\ell\)-ifications of matrix polynomials ⋮ Structured strong $\boldsymbol{\ell}$-ifications for structured matrix polynomials in the monomial basis ⋮ Counting Fiedler pencils with repetitions ⋮ Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic ⋮ Automatic recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler pencils with repetition ⋮ Spectral equivalence of matrix polynomials and the index sum theorem ⋮ Structured strong linearizations from Fiedler pencils with repetition. I. ⋮ The infinite Lanczos method for symmetric nonlinear eigenvalue problems ⋮ Structured backward error analysis of linearized structured polynomial eigenvalue problems ⋮ A simplified approach to Fiedler-like pencils via block minimal bases pencils ⋮ Palindromic linearizations of palindromic matrix polynomials of odd degree obtained from Fiedler-like pencils ⋮ A note on generalized companion pencils in the monomial basis ⋮ Explicit block-structures for block-symmetric Fiedler-like pencils ⋮ Large vector spaces of block-symmetric strong linearizations of matrix polynomials ⋮ Structured strong linearizations of structured rational matrices

Cites Work

• Skew-symmetric matrix polynomials and their Smith forms
• Spectral equivalence of matrix polynomials and the index sum theorem
• Structured strong linearizations from Fiedler pencils with repetition. I.
• Palindromic companion forms for matrix polynomials of odd degree
• A permuted factors approach for the linearization of polynomial matrices
• Jordan structures of alternating matrix polynomials
• Smith forms of palindromic matrix polynomials
• Palindromic linearizations of a matrix polynomial of odd degreee obtained from Fiedler pencils with repetition
• Vector Spaces of Linearizations for Matrix Polynomials
• Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
• Symmetric Linearizations for Matrix Polynomials
• Linearizations of polynomial matrices with symmetries and their applications

This page was built for publication: Structured strong linearizations from Fiedler pencils with repetition. II