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Record Nr. |
UNINA9910788655503321 |
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Autore |
Olshevsky Vadim |
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Titolo |
Structured Matrices in Mathematics, Computer Science, and Engineering [[electronic resource]] |
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Pubbl/distr/stampa |
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Providence, : American Mathematical Society, 2001 |
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ISBN |
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0-8218-7871-9 |
0-8218-2092-3 |
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Descrizione fisica |
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1 online resource (362 p.) |
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Collana |
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Contemporary mathematics, ; 281 , 0271-4132 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Contents -- Foreword -- Part V. Fast Algorithms -- The Schur algorithm for matrices with Hessenberg displacement structure -- Fast inversion algorithms for a class of block structured matrices -- A fast and stable solver for recursively semi-separable systems of linear equations -- Part VI. Numerical Issues -- Stability properties of several variants of the unitary Hessenberg QR algorithm -- Comparison of algorithms for Toeplitz least squares and symmetric positive definite linear systems -- Stability of Toeplitz matrix inversion formulas -- Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices -- Updating and downdating of orthonormal polynomial vectors and some applications -- Rank-revealing decompositions of symmetric Toeplitz matrices -- Part VII. Iterative Methods. Preconditioners -- A survey of preconditioners for ill-conditioned Toeplitz systems -- Preconditioning of Hermitian block "Toeplitz-Toeplitz" block matrices by level-1 preconditioners -- Part VIII. Linear Algebra and Various Applications -- A generalization of the Perron-Frobenius theorem for non-linear perturbations of Stiltjes matrices -- The rhombus matrix: Definition and properties. |
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