This article is cited in 1 paper

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

V. I. Gel'fgat

Research and Production Company Akmal, Moscow

Abstract: Formulas for inverting nonsingular Toeplitz matrices with complex entries are derived. These formulas either refine known ones or are new. They make it possible to develop economical algorithms for calculating products of inverse Toeplitz matrices with vectors.

Key words: matrices, Toeplitz matrices, circulants, skew-circulants, spectral decomposition, Toeplitz decomposition, Toeplitz rank, economical numerical algorithms.

UDC: 519.613

Received: 14.01.2013
Revised: 18.02.2013

DOI: 10.7868/S0044466913080061

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:8, 1057–1061

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