Spectral factorization of bi-infinite multi-index block Toeplitz matrices

DOI10.1016/S0024-3795(01)00441-4zbMath1010.65012OpenAlexW2139878109MaRDI QIDQ1348101

Giuseppe Rodriguez, Sebastiano Seatzu, Cornelis V. M. van der Mee

Publication date: 15 May 2002

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00441-4

zbMATH Keywords

LU-factorizationmultiindex matricesbi-infinite block Toeplitz matricesCholeky factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (9)

Canonical factorization of continuous functions on the $d$-torus ⋮ Semi-infinite multi-index perturbed block Toeplitz systems ⋮ Factorization of multivariate positive Laurent polynomials ⋮ The Inverse of a Two-level Positive Definite Toeplitz Operator Matrix ⋮ Representation of doubly infinite matrices as non-commutative Laurent series ⋮ Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices ⋮ Numerical solution of the Helmholtz equation in an infinite strip by Wiener-Hopf factorization ⋮ Preconditioners based on fit techniques for the iterative regularization in the image deconvolution problem ⋮ Existence and stability of periodic solutions in a neural field equation

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