Green's matrices

DOI10.1016/j.laa.2009.07.038zbMath1195.15012OpenAlexW2006379798MaRDI QIDQ1044600

Gilbert Strang, Vadim Olshevsky, Pavel Zhlobich

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.038

zbMATH Keywords

eigenvalueseigenvectorscharacteristic polynomialsLaurent polynomialsfactorizationsCMV matricesunitary Hessenberg matricescompanion matricesfive-diagonal matricesDaubechies wavelet matrixSzegö's orthogonal polynomialstwist transformations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Matrices, determinants in number theory (11C20)

Related Items (10)

Two types of discrete Sobolev inequalities on a weighted Toeplitz graph ⋮ A hierarchical structure for the sharp constants of discrete Sobolev inequalities on a weighted complete graph ⋮ The continuing influence of Fiedler's work on companion matrices ⋮ The Algebra of Elimination ⋮ Green’s relation ℋ on the monoid of square matrices over a specific local ring ⋮ A quasiseparable approach to five-diagonal CMV and Fiedler matrices ⋮ Reprint of: A quasiseparable approach to five-diagonal CMV and Fiedler matrices ⋮ Fast transforms: Banded matrices with banded inverses ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ Groups of banded matrices with banded inverses

Cites Work

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• A quasiseparable approach to five-diagonal CMV and Fiedler matrices
• On generators of quasiseparable finite block matrices
• Eigenvector computation for almost unitary Hessenberg matrices and inversion of Szegö-Vandermonde matrices via discrete transmission lines
• Congenial matrices
• On a new class of structured matrices
• Linear complexity inversion algorithms for a class of structured matrices
• A note on companion matrices
• Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
• On an inverse eigenvalue problem for unitary Hessenberg matrices
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Measures on the unit circle and unitary truncations of unitary operators
• CMV matrices: Five years after
• A matrix approach to the computation of quadrature formulas on the unit circle
• Eigenstructure of order-one-quasiseparable matrices. Three-term and two-term recurrence relations
• Aizenman's theorem for orthogonal polynomials on the unit circle
• Minimal representations of unitary operators and orthogonal polynomials on the unit circle
• Generalized Schwarz form and lattice - ladder realizations of digital filters
• Orthonormal bases of compactly supported wavelets
• On a Sturm Sequence of Polynomials for Unitary Hessenberg Matrices
• CMV matrices in random matrix theory and integrable systems: a survey

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