On the sign characteristic of Hermitian linearizations in \(\mathbb{DL}(P)\)

DOI10.1016/j.laa.2016.12.035zbMath1358.65023OpenAlexW2570015332MaRDI QIDQ512045

Yong-Cai Geng, Sumit K. Garg

Publication date: 23 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.12.035

zbMATH Keywords

eigenvalueeigenvectorHermitian matrix polynomialsign characteristic\(\mathbb{DL}(P)\)generalized Fiedler pencil with repetitionHermitian linearization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Matrix pencils (15A22)

Related Items (2)

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Cites Work

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• On the sign characteristics of Hermitian matrix polynomials
• Spectral equivalence of matrix polynomials and the index sum theorem
• Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification
• A permuted factors approach for the linearization of polynomial matrices
• Spectral analysis of selfadjoint matrix polynomials
• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• Large vector spaces of block-symmetric strong linearizations of matrix polynomials
• Definite Matrix Polynomials and their Linearization by Definite Pencils
• Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic
• Vector Spaces of Linearizations for Matrix Polynomials
• Symmetric Linearizations for Matrix Polynomials

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