Palindromic linearizations of palindromic matrix polynomials of odd degree obtained from Fiedler-like pencils

DOI10.1007/s10013-020-00444-wzbMath1472.15017OpenAlexW3091327264MaRDI QIDQ2022391

Rafikul Alam, Ranjan Kumar Das

Publication date: 29 April 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-020-00444-w

zbMATH Keywords

eigenvaluelinearizationeigenvectorminimal indicesFiedler pencilminimal basispalindromic matrix polynomial

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Cites Work

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• Spectral equivalence of matrix polynomials and the index sum theorem
• Structured strong linearizations from Fiedler pencils with repetition. I.
• Structured eigenvalue condition numbers and linearizations for matrix polynomials
• On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations
• Palindromic companion forms for matrix polynomials of odd degree
• A permuted factors approach for the linearization of polynomial matrices
• Structured strong linearizations from Fiedler pencils with repetition. II
• Implicit QR algorithms for palindromic and even eigenvalue problems
• A note on companion matrices
• Polynomial eigenvalue problems with Hamiltonian structure
• Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures
• Large vector spaces of block-symmetric strong linearizations of matrix polynomials
• Automatic recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler pencils with repetition
• Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils
• Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Hermitian and Related Structures
• Fiedler Companion Linearizations and the Recovery of Minimal Indices
• Smith forms of palindromic matrix polynomials
• Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations
• Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness
• Palindromic linearizations of a matrix polynomial of odd degreee obtained from Fiedler pencils with repetition
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Structured Backward Errors and Pseudospectra of Structured Matrix Pencils
• Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems Arising from Vibration of Fast Trains
• Structured Backward Error and Condition of Generalized Eigenvalue Problems
• Structured backward error analysis of linearized structured polynomial eigenvalue problems
• Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control
• A new family of companion forms of polynomial matrices
• Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Palindromic Structures
• Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic
• Generalized Fiedler Pencils for Rational Matrix Functions
• Eigenvectors and minimal bases for some families of Fiedler-like linearizations
• Vector Spaces of Linearizations for Matrix Polynomials
• Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
• Symmetric Linearizations for Matrix Polynomials

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