On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices

DOI10.1134/S096554251308006XzbMath1299.15031MaRDI QIDQ5413183

V. I. Gel'fgat

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

algorithmsspectral decompositioninversionToeplitz matricescirculantscocirculantsToeplitz rank

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05) Vector spaces, linear dependence, rank, lineability (15A03) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

Matrices of small Toeplitz rank, certain representations of the solution to an unstable system of linear equations with Toeplitz coefficient matrices, and related fast algorithms for solving such systems

Cites Work

• Unnamed Item
• Shifted discrete Fourier transformations
• Commutation criterion for Toeplitz matrices

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