| 書目名稱 | Point Estimation of Root Finding Methods | | 編輯 | Miodrag Petkovi? | | 視頻video | http://file.papertrans.cn/750/749684/749684.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | The problem of solving nonlinear equations and systems of equations ranks among the most signi?cant in the theory and practice, not only of applied mathematicsbutalsoofmanybranchesofengineeringsciences,physics,c- puter science, astronomy, ?nance, and so on. A glance at the bibliography and the list of great mathematicians who have worked on this topic points to a high level of contemporary interest. Although the rapid development of digital computers led to the e?ective implementation of many numerical methods, in practical realization, it is necessary to solve various problems such as computational e?ciency based on the total central processor unit time, the construction of iterative methods which possess a fast convergence in the presence of multiplicity (or clusters) of a desired solution, the control of rounding errors, information about error bounds of obtained approximate solution, stating computationally veri?able initial conditions that ensure a safe convergence, etc. It is the solution of these challenging problems that was the principal motivation for the present study. In this book, we are mainly concerned with the statement and study of initial conditions that provide t | | 出版日期 | Book 2008 | | 關鍵詞 | Newton‘s method; guaranteed convergence; iterative root finders; point estimation; polynomial zeros; solv | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-77851-6 | | isbn_softcover | 978-3-540-77850-9 | | isbn_ebook | 978-3-540-77851-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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