书目名称 | Condition |
副标题 | The Geometry of Nume |
编辑 | Peter Bürgisser,Felipe Cucker |
视频video | http://file.papertrans.cn/236/235196/235196.mp4 |
概述 | Unique book combining methods from numerical computation and complexity.Excellent pedagogical presentation.Explanation of Smale‘s 17th problem.Includes supplementary material: |
丛书名称 | Grundlehren der mathematischen Wissenschaften |
图书封面 |  |
描述 | This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability and complexity--- of numerical algorithms. While the role of condition was shaped in the last half-century, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition‘s level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale‘s 17.th. problem which can be explained within a graduate course. Its middle part contains a condition-based course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming. |
出版日期 | Book 2013 |
关键词 | complexity; condition numbers; homotopy continuation; linear optimization; probabilistic analysis of alg |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-38896-5 |
isbn_softcover | 978-3-642-44012-0 |
isbn_ebook | 978-3-642-38896-5Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
issn_series | 0072-7830 |
copyright | Springer-Verlag Berlin Heidelberg 2013 |