| 书目名称 | Newton-Type Methods for Optimization and Variational Problems |
| 编辑 | Alexey F. Izmailov,Mikhail V. Solodov |
| 视频video | |
| 概述 | Offers new approaches to optimization algorithms through Newtonian methods.Relevant to researchers in Optimization and Variational Analysis.Provides a unified view of classical as well as recent devel |
| 丛书名称 | Springer Series in Operations Research and Financial Engineering |
| 图书封面 |  |
| 描述 | This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis. |
| 出版日期 | Book 2014 |
| 关键词 | Complementarity problems; Newton method; Optimization; Sequential quadratic programming; Variational pro |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-04247-3 |
| isbn_softcover | 978-3-319-35384-5 |
| isbn_ebook | 978-3-319-04247-3Series ISSN 1431-8598 Series E-ISSN 2197-1773 |
| issn_series | 1431-8598 |
| copyright | Springer International Publishing Switzerland 2014 |
发表于 2025-3-21 18:18:44
