A note on the stability of Toeplitz matrix inversion formulas.

DOI10.1016/j.aml.2003.11.002zbMath1069.15007OpenAlexW2153813320MaRDI QIDQ1767145

Hong Liu, You-Wei Wen, Wai-Ki Ching, Michael Kwok-Po Ng

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2003.11.002

zbMATH Keywords

stabilityToeplitz matrixinversion formulasforward stable

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (9)

The stability of formulae of the Gohberg-Semencul-Trench type for Moore-Penrose and group inverses of Toeplitz matrices ⋮ Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices ⋮ The Explicit Inverses of CUPL-Toeplitz and CUPL-Hankel Matrices ⋮ Gohberg-Semencul type formula and application for the inverse of a conjugate-Toeplitz matrix involving imaginary circulant matrices ⋮ A new Toeplitz inversion formula, stability analysis and the value ⋮ The explicit inverse of nonsingular conjugate-Toeplitz and conjugate-Hankel matrices ⋮ A Gohberg-Semencul type formula for the inverse of conjugate-Toeplitz matrix and applications ⋮ Approximate inverse-free preconditioners for Toeplitz matrices ⋮ A note on the structured perturbation analysis for the inversion formula of Toeplitz matrices

Cites Work

• On inversion of Toeplitz and close to Toeplitz matrices
• Inversion of Toeplitz matrices with only two standard equations
• On inversion of Toeplitz matrices
• A Variant of the Gohberg–Semencul Formula Involving Circulant Matrices
• Conjugate Gradient Methods for Toeplitz Systems
• An Algorithm for the Inversion of Finite Toeplitz Matrices
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