Rounding errors in algebraic processes:
Rounding Errors in Algebraic Processes was the first book to give systematic analyses of the effects of rounding errors on a variety of key computations involving polynomials and matrices. A detailed analysis is given of the rounding errors made in the elementary arithmetic operations and inner prod...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pennsylvania
Society for Industrial and Applied Mathematics, SIAM
[2023]
|
| Schriftenreihe: | Classics in applied mathematics
89 |
| Schlagworte: | |
| Online-Zugang: | DE-91 DE-20 DE-29 URL des Erstveröffentlichers |
| Zusammenfassung: | Rounding Errors in Algebraic Processes was the first book to give systematic analyses of the effects of rounding errors on a variety of key computations involving polynomials and matrices. A detailed analysis is given of the rounding errors made in the elementary arithmetic operations and inner products, for both floating-point arithmetic and fixed-point arithmetic. The results are then applied in the error analyses of a variety of computations involving polynomials as well as the solution of linear systems, matrix inversion, and eigenvalue computations. The conditioning of these problems is investigated. The aim was to provide a unified method of treatment, and emphasis is placed on the underlying concepts. |
| Beschreibung: | The SIAM edition is a republication of the edition originally published by Her Majesty’s Stationery Office under British Crown copyright in 1963. |
| Beschreibung: | 1 Online-Ressource (xiii, 161 Seiten) |
| ISBN: | 9781611977523 |
| DOI: | 10.1137/1.9781611977523 |
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| 520 | 3 | |a Rounding Errors in Algebraic Processes was the first book to give systematic analyses of the effects of rounding errors on a variety of key computations involving polynomials and matrices. A detailed analysis is given of the rounding errors made in the elementary arithmetic operations and inner products, for both floating-point arithmetic and fixed-point arithmetic. The results are then applied in the error analyses of a variety of computations involving polynomials as well as the solution of linear systems, matrix inversion, and eigenvalue computations. The conditioning of these problems is investigated. The aim was to provide a unified method of treatment, and emphasis is placed on the underlying concepts. | |
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Datensatz im Suchindex
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| discipline | Informatik |
| discipline_str_mv | Informatik |
| doi_str_mv | 10.1137/1.9781611977523 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
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| indexdate | 2025-01-10T11:19:23Z |
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| isbn | 9781611977523 |
| language | English |
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| series | Classics in applied mathematics |
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| spelling | Wilkinson, James H. 1919-1986 (DE-588)118995006 aut Rounding errors in algebraic processes James Hardy Wilkinson Philadelphia, Pennsylvania Society for Industrial and Applied Mathematics, SIAM [2023] © 2023 1 Online-Ressource (xiii, 161 Seiten) txt rdacontent c rdamedia cr rdacarrier Classics in applied mathematics 89 The SIAM edition is a republication of the edition originally published by Her Majesty’s Stationery Office under British Crown copyright in 1963. Rounding Errors in Algebraic Processes was the first book to give systematic analyses of the effects of rounding errors on a variety of key computations involving polynomials and matrices. A detailed analysis is given of the rounding errors made in the elementary arithmetic operations and inner products, for both floating-point arithmetic and fixed-point arithmetic. The results are then applied in the error analyses of a variety of computations involving polynomials as well as the solution of linear systems, matrix inversion, and eigenvalue computations. The conditioning of these problems is investigated. The aim was to provide a unified method of treatment, and emphasis is placed on the underlying concepts. Roundoff errors Mathematics / Numerical Analysis Mathematics / Reference Mathematics / Applied MATHEMATICS / Discrete Mathematics MATHEMATICS / Research Computers/ Computer Science fundamental arithmetic operations rounding errors fixed point and floating point computation zeros of polynomials matrix computations Erscheint auch als Druck-Ausgabe 978-1-61197-751-6 Classics in applied mathematics 89 (DE-604)BV040633091 89 https://doi.org/10.1137/1.9781611977523 Verlag URL des Erstveröffentlichers Volltext X:SIAM https://doi.org/10.1137/1.9781611977523 Resolving-System URL des Erstveröffentlichers |
| spellingShingle | Wilkinson, James H. 1919-1986 Rounding errors in algebraic processes Classics in applied mathematics |
| title | Rounding errors in algebraic processes |
| title_auth | Rounding errors in algebraic processes |
| title_exact_search | Rounding errors in algebraic processes |
| title_exact_search_txtP | Rounding errors in algebraic processes |
| title_full | Rounding errors in algebraic processes James Hardy Wilkinson |
| title_fullStr | Rounding errors in algebraic processes James Hardy Wilkinson |
| title_full_unstemmed | Rounding errors in algebraic processes James Hardy Wilkinson |
| title_short | Rounding errors in algebraic processes |
| title_sort | rounding errors in algebraic processes |
| url | https://doi.org/10.1137/1.9781611977523 |
| volume_link | (DE-604)BV040633091 |
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