On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of \(\ast \)-palindromic matrix polynomials
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Publication:6103356
DOI10.1016/j.laa.2023.04.022zbMath1518.15017arXiv2211.15539MaRDI QIDQ6103356
Vanni Noferini, Giovanni Barbarino
Publication date: 26 June 2023
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.15539
sign characteristicRellich's theorempalindromic matrix polynomialanalytic eigendecompositionpara-unitary
Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54)
Cites Work
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- On coprime rational function matrices
- On the sign characteristics of Hermitian matrix polynomials
- Normal matrices over Hermitian discrete valuation rings
- Rellich's perturbation theorem on Hermitian matrices of holomorphic functions
- Numerical computation of an analytic singular value decomposition of a matrix valued function
- Definite Matrix Polynomials and their Linearization by Definite Pencils
- The Maximum Order of an Element of a Finite Symmetric Group
- Majoration explicite de l'ordre maximum d'un élément du groupe symétrique
- On the Existence and Uniqueness of the Eigenvalue Decomposition of a Parahermitian Matrix
- Corrections to “On the Existence and Uniqueness of the Eigenvalue Decomposition of a Parahermitian Matrix” [May 18 2659-2672]
- The principal axis theorem for holomorphic functions
- Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence
- Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations