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arXiv · 1704.02267

Inversion of the Toeplitz-block Toeplitz matrices and the structure of the corresponding inverse matrices

Alexander Sakhnovich
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Abstract

The results on the inversion of convolution operators and Toeplitz matrices in the 1-D (one dimensional) case are classical and have numerous applications. We consider a 2-D case of Toeplitz-block Toeplitz matrices, describe a minimal information, which is necessary to recover the inverse matrices, and give a complete characterisation of the inverse matrices.

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Alexander Sakhnovich. 2017-04-07. Inversion of the Toeplitz-block Toeplitz matrices and the structure of the corresponding inverse matrices. https://doi.org/10.1090/tran%2F7770

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