| 書目名稱 | Iterative Methods for Simultaneous Inclusion of Polynomial Zeros | | 編輯 | Miodrag Petkovi? | | 視頻video | http://file.papertrans.cn/477/476587/476587.mp4 | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis. Rapidly converging algorithms are presented in these notes, including convergence analysis in terms of circular regions, and in complex arithmetic. Parallel circular iterations, where the approximations to the zeros have the form of circular regions containing these zeros, are efficient because they also provide error estimates. There are at present no book publications on this topic and one of the aims of this book is to collect most of the algorithms produced in the last 15 years. To decrease the high computational cost of interval methods, several effective iterative processes for the simultaneous inclusion of polynomial zeros which combine the efficiency of ordinary floating-point arithmetic with the accuracy control that may be obtained by the interval methods, are set down, and their computational efficiency is described. The rate of these methods is of interest in designing a package for the simultaneous approximation of polynomial zeros, where automatic procedure selection is desired. The book is both a text and a reference source for mathematicans, engineers, physicists and c | | 出版日期 | Book 1989 | | 關鍵詞 | Mathematica; Microsoft Access; algorithms; arithmetic; complex analysis; computation; control; convergence; | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0083599 | | isbn_softcover | 978-3-540-51485-5 | | isbn_ebook | 978-3-540-48174-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1989 |
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