| Description |
1 online resource (2 volumes) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Studies in computational mathematics, 1570-579X ; 14 |
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Studies in computational mathematics ; 14. 1570-579X
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| Summary |
This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newtons, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincents method, simultaneous iterations, and matrix methods. There is an extensive chapter on evaluation of polynomials, including parallel methods and errors. There are pointers to robust and efficient programs. In short, it could be entitled A Handbook of Methods for Polynomial Root-finding. This book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic. - First comprehensive treatment of Root-Finding in several decades. - Gives description of high-grade software and where it can be down-loaded. - Very up-to-date in mid-2006; long chapter on matrix methods. - Includes Parallel methods, errors where appropriate. - Invaluable for research or graduate course. |
| Contents |
Preface -- Contents -- Introduction -- 1. Evaluation, Convergence, Bounds -- 2. Sturm Sequences and Greatest Common Divisors -- 3. Real Roots by Continued Fractions -- 4. Simultaneous Methods -- 5. Newton's and Related Methods -- 6. Matrix Models -- Index. |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Subject |
Polynomials.
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Equations, Roots of.
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Polynômes.
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Racines des équations.
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Equations, Roots of
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Polynomials
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| Other Form: |
Print version: McNamee, J.M. Numerical methods for roots of polynomials. Amsterdam ; London : Elsevier, 2007 9780444527295 044452729X (OCoLC)80331922 |
| ISBN |
9780444527295 |
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044452729X |
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0080489478 (electronic bk.) |
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9780080489476 (electronic bk.) |
| Standard No. |
AU@ 000048129397 |
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CHNEW 001006032 |
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DEBBG BV036962180 |
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DEBBG BV039834061 |
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DEBBG BV042317163 |
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DEBSZ 482354003 |
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NZ1 11778281 |
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NZ1 15192390 |
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