On the Toeplitz embedding of an arbitrary matrix

DOI10.1016/0024-3795(83)90151-9zbMath0538.15008OpenAlexW2037739163MaRDI QIDQ793123

Y. Genin, Y. Kamp, Philippe Delsarte

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90151-9

zbMATH Keywords

Levinson algorithmSchur parametersChristoffel-Darboux formulablock Toeplitz matricesToeplitz embeddingTrench algorithms

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Inversion and factorization of non-Hermitian quasi-Toeplitz matrices ⋮ Equivalence Classes of Hermitian Matrices and Their Schur Parametrization

Cites Work

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• New inversion formulas for matrices classified in terms of their distance from Toeplitz matrices
• Displacement ranks of matrices and linear equations
• Matrix-valued Toeplitz operators
• Polynomials defined by a difference system
• Schur Parametrization of Positive Definite Block-Toeplitz Systems
• A polynomial approach to the generalized Levinson algorithm based on the Toeplitz distance
• Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
• Orthogonal polynomial matrices on the unit circle
• The Solution of a Toeplitz Set of Linear Equations
• An Algorithm for the Inversion of Finite Toeplitz Matrices
• Block Toeplitz Matrix Inversion
• Algorithms for Triangular Decomposition of Block Hankel and Toeplitz Matrices with Application to Factoring Positive Matrix Polynomials
• A Convergence Equivalence Related to Polynomials Orthogonal on the Unit Circle

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