IJPAM: Volume 79, No. 1 (2012)

INVERSION OF THE TOEPLITZ-PLUS-HANKEL
MATRICES VIA GENERALIZED INVERSION

Victor Adukov$^1$, Olga Ibryaeva$^2$
$^{1,2}$Department of Differential Equations and Dynamical Systems
South Ural State University
Chelyabinsk, RUSSIA


Abstract. The generalized inversion of the block Toeplitz-plus-Hankel matrix has been obtained. It allows to find the inverse (one-sided inverse) matrix of the block Toeplitz-plus-Hankel matrix provided that the this matrix is invertible (one-sided invertible).

Received: May 5, 2012

AMS Subject Classification: 15A09

Key Words and Phrases: Toeplitz-plus-Hankel matrices, generalized inversion, inversion

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 79
Issue: 1