Inversion of Toeplitz-plus-Hankel matrices with arbitrary rank profile
Georg Heinig
Abstract
Georg Heinig
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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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