Computations with Gohberg-Semencul-type formulas for Toeplitz matrices (Q1381279)
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scientific article; zbMATH DE number 1129385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computations with Gohberg-Semencul-type formulas for Toeplitz matrices |
scientific article; zbMATH DE number 1129385 |
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Computations with Gohberg-Semencul-type formulas for Toeplitz matrices (English)
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17 March 1998
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An elementary approach to derive all Gohberg-Semencul-type formulae for the representation of the inverse of a Toeplitz matrix is presented. It is proven that there exists a Gohberg-Semencul-type formula such that the generating vectors are pairwise orthogonal. On the basis of this analysis new fast and stable algorithms for solving linear Toeplitz systems are derived.
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Toeplitz matrix
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Gohberg-Semencul-type formula
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linear Toeplitz systems
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0.90729046
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0.88559896
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0.88224643
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0.8806328
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0.8796497
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0.87944996
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0.87942284
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0.87672365
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