Card image

Scholarly

Volume:4, Issue: 2, 2010 Page No: 277 - 280

International Journal of Engineering, Mathematical and Physical Sciences

ISSN: 2517-9934

770 Downloads
Abstract Full Text Download References Share Add to Favorites
DOI:10.5281/zenodo.1075782 BibTeX JSON

A Note on Toeplitz Matrices

In this note, we demonstrate explicit LU factorizations of Toeplitz matrices for some small sizes. Furthermore, we obtain the inverse of referred Toeplitz matrices by appling the above-mentioned results.
Authors:
Keywords:
References:
[1] I. Gohberg, A. Semencul, On the inversion of finite Toeplitz matrices and
their continuous analogues, Mat. Issled. 7 (1972) 201-223 (in Russian).
[2] G. Heinig, K. Rost, Algebraic methods for Toeplitz-like matrices and
operators, in: Operator Theory: Advances and Applications, vol. 13,
Birkhäuser, Basel, 1984.
[3] Xiao-Guang Lv, Ting-Zhu Huang, A note on inversion of Toeplitz
matrices, Applied Mathematics Letters 20 (2007) 1189-119.
[4] I. Gohberg, N. Krupnik, A formula for the inversion of finite Toeplitz
matrices, Mat. Issled. 7 (12) (1972) 272-283 (in Russian).
[5] W. F. Trench, An algorithm for the inversion of finite Toeplitz matrix, J.
SIAM 13 (3) (1964) 515-522.