On Moore-Penrose inverses of Toeplitz matrices (Q1187376)
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scientific article; zbMATH DE number 39253
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Moore-Penrose inverses of Toeplitz matrices |
scientific article; zbMATH DE number 39253 |
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On Moore-Penrose inverses of Toeplitz matrices (English)
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23 July 1992
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The author proves that the Moore-Penrose inverse of a Toeplitz matrix can always be represented as a sum of products of lower and upper triangular Toeplitz matrices. This result extends a theorem of \textit{I. C. Gohberg} and \textit{A. A. Semencul} [Mat. Issled. 7, No. 2(24) 201-223 (1972; Zbl 0288.15004)] regarding the inverse of a nonsingular Toeplitz matrix.
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Moore-Penrose inverse
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Toeplitz matrix
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triangular Toeplitz matrices
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0.9680147
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0.9562496
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0.9359024
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0.9330082
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0.9320977
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0.92878264
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0.9261678
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