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Titlebook: Condition; The Geometry of Nume Peter Bürgisser,Felipe Cucker Book 2013 Springer-Verlag Berlin Heidelberg 2013 complexity.condition numbers

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發(fā)表于 2025-3-21 16:39:37 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Condition
副標題The Geometry of Nume
編輯Peter Bürgisser,Felipe Cucker
視頻videohttp://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:
叢書名稱Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Condition; The Geometry of Nume Peter Bürgisser,Felipe Cucker Book 2013 Springer-Verlag Berlin Heidelberg 2013 complexity.condition numbers
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
關鍵詞complexity; condition numbers; homotopy continuation; linear optimization; probabilistic analysis of alg
版次1
doihttps://doi.org/10.1007/978-3-642-38896-5
isbn_softcover978-3-642-44012-0
isbn_ebook978-3-642-38896-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 2013
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沙發(fā)
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Book 2013or 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.
地板
發(fā)表于 2025-3-22 05:22:19 | 只看該作者
0072-7830 em.Includes supplementary material: 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. W
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Multi-Version Concurrency Revisited,aking integer (as opposed to real) data. We show that if the entries of . are integer numbers, then one can return a solution with a cost—and since all our data are discrete, we mean bit cost—polynomial in ., . and the bit-size of the largest entry in?..
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The Linear Programming Feasibility Problems at least two aspects untouched: the initial feasible point is assumed to be given and there is no hint as how to deduce, at some moment of the process, the optimizers and optimal value..In this chapter we deal with the first of the two aspects above.
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Transaction-Level Power Modeling Methodologyit is possible to recast problems of one kind as problems of the other, and we take advantage of this feature to present an algorithmic solution for the feasibility problem .. We see that again, the condition number . of the data plays a role in the complexity of this solution.
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