An inverse problem for Toeplitz matrices

DOI10.1016/0024-3795(84)90159-9zbMath0548.15021OpenAlexW2001827782MaRDI QIDQ799760

Bradley W. Dickinson

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90159-9

zbMATH Keywords

inverse problemCholesky factorizationcentral mass sequencedesign of discrete transmission linesLevinson-Durbin algorithmpositive definite symmetric Toeplitz matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

On some properties of positive definite Toeplitz matrices and their possible applications ⋮ On reduced polynomial-based split algorithms ⋮ Some matrix factorization identities for discrete inverse scattering

Cites Work

• An inverse problem for Toeplitz matrices and the synthesis of discrete transmission lines
• The Fitting of Time-Series Models
• The Numerical Stability of the Levinson-Durbin Algorithm for Toeplitz Systems of Equations
• A view of three decades of linear filtering theory
• Inverses of Toeplitz Operators, Innovations, and Orthogonal Polynomials
• On a generalized Szegö- Levinson realization algorithm for optimal linear predictors based on a network synthesis approach

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