Inversion of Toeplitz Matrices With Only Two Standard Equations
نویسندگان
چکیده
it is shown that the invertibility of a Toeplitz matrix can be determined through the solvability of two standard equations. The inverse matrix is represented by two of its columns (which are the solutions of the two standard equations) and the entries of the original Toeplitz matrix.
منابع مشابه
A note on inversion of Toeplitz matrices
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 matrix is also considered. c © 2007 Elsevier Ltd. All rights reserved.
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