书目名称 | Convex Optimization with Computational Errors |
编辑 | Alexander J. Zaslavski |
视频video | http://file.papertrans.cn/238/237847/237847.mp4 |
概述 | Studies the influence of computational errors in numerical optimization, for minimization problems on unbounded sets, and time zero-sum games with two players.Explains that for every algorithm its ite |
丛书名称 | Springer Optimization and Its Applications |
图书封面 |  |
描述 | The book is devoted to the study of approximate solutions of optimization problems in the presence of computational errors. It contains a number of results on the convergence behavior of algorithms in a Hilbert space, which are known as important tools for solving optimization problems. The research presented in the book is the continuation and the further development of the author‘s (c) 2016 book .Numerical Optimization with Computational Errors., Springer 2016. Both books study the algorithms taking into account computational errors which are always present in practice. The main goal is, for a known computational error, to find out what an approximate solution can be obtained and how many iterates one needs for this. .The main difference between this new book and the 2016 book is that in this present book the discussion takes into consideration the fact that for every algorithm, its iteration consists of several steps and that computational errors for different steps are generally, different. This fact, which was not taken into account in the previous book, is indeed important in practice. For example, the subgradient projection algorithm consists of two steps. The first step is |
出版日期 | Book 2020 |
关键词 | convex optimization; mathematical programming; computational error; nonlinear analysis; solving real-wor |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-37822-6 |
isbn_softcover | 978-3-030-37824-0 |
isbn_ebook | 978-3-030-37822-6Series ISSN 1931-6828 Series E-ISSN 1931-6836 |
issn_series | 1931-6828 |
copyright | Springer Nature Switzerland AG 2020 |