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Inversion of Toeplitz Matrices with Only Two Standard Equations

Labahn, George; Shalom, Tamir

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.

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Academic Units
Computer Science
Publisher
Department of Computer Science, Columbia University
Series
Columbia University Computer Science Technical Reports, CUCS-067-90
Published Here
March 8, 2012