2003Contemporary mathematics - American Mathematical SocietyRequires access

Inversion of Toeplitz-plus-Hankel matrices with arbitrary rank profile

Georg Heinig

Open publisher page 4 citations

Abstract

Fast algorithms for the inversion of Toeplitz-plus-Hankel matrices are presented that work, in contrast to algorithms in the literature, for any nonsingular Toeplitz-plus-Hankel matrix. The design of the algorithms is based on the kernel structure properties of Toeplitz-plus-Hankel matrices.

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What this paper is about

Fast algorithms for the inversion of Toeplitz-plus-Hankel matrices are presented that work, in contrast to algorithms in the literature, for any nonsingular Toeplitz-plus-Hankel matrix. The design of the algorithms is based on the kernel structure properties of Toeplitz-plus-Hankel matrices.

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Available abstract

Fast algorithms for the inversion of Toeplitz-plus-Hankel matrices are presented that work, in contrast to algorithms in the literature, for any nonsingular Toeplitz-plus-Hankel matrix. The design of the algorithms is based on the kernel structure properties of Toeplitz-plus-Hankel matrices.

Key concepts: Toeplitz matrix, Mathematics, Rank (graph theory), Inversion (geology), Hankel matrix, Pure mathematics, Algebra over a field, Combinatorics

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