On inversion of Toeplitz and close to Toeplitz matrices

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Abstract

It is proved that three columns of an inverse of a scalar Toeplitz matrix, when properly chosen, are always enough to reconstruct it. A parametrization of invertible Toeplitz matrices in terms of the first and a combination of two consecutive columns of the inverse matrix is also given. © 1986.

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Ben-Artzi, A., & Shalom, T. (1986). On inversion of Toeplitz and close to Toeplitz matrices. Linear Algebra and Its Applications, 75(C), 173–192. https://doi.org/10.1016/0024-3795(86)90188-6

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