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On group inverse of singular Toeplitz matrices

โœ Scribed by Yimin Wei; Huaian Diao


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
222 KB
Volume
399
Category
Article
ISSN
0024-3795

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โœฆ Synopsis


In this paper we show that the group inverse of a real singular Toeplitz matrix can be represented as the sum of products of lower and upper triangular Toeplitz matrices. Such a matrix representation generalizes "Gohberg-Semencul formula" in the literature.


๐Ÿ“œ SIMILAR VOLUMES


A note on inversion of Toeplitz matrices
โœ Xiao-Guang Lv; Ting-Zhu Huang ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 157 KB

It is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of two standard equations. The inverse matrix can be denoted as a sum of products of circulant matrices and upper triangular Toeplitz matrices. The stability of the inversion formula for a Toeplitz matr

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We consider the asymptotic behaviour of the smallest singular values of the n x N sections of a general infinite Cauchy-Toeplitz matrix.