| 书目名称 | Foundations of Optimization |
| 编辑 | Osman Güler |
| 视频video | |
| 概述 | Covers the fundamental principles of optimization in finite dimensions..Develops the necessary background material in differential calculus..All the standard topics of mathematical programming covered |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | The book gives a detailed andrigorous treatment of the theory of optimization(unconstrained optimization, nonlinear programming, semi-infinite programming, etc.)in finite-dimensional spaces. The fundamental results of convexity theory and the theory of duality in nonlinear programmingand the theories of linear inequalities, convex polyhedra, andlinear programming are covered in detail.Over two hundred, carefully selected exercises should help the students master the material of the book and give further insight.Some of the most basic results are provedin several independent ways in order to give flexibility to the instructor.A separate chapter gives extensive treatments of three of the most basic optimization algorithms (the steepest-descent method, Newton’s method, the conjugate-gradient method). The first chapter of the book introduces thenecessary differential calculus tools used in the book.Several chapters contain more advanced topics in optimization such as Ekeland’s epsilon-variational principle, a deep and detailed study of separationproperties of two or more convex sets in general vector spaces, Helly’s theorem and its applications to optimization, etc.The bookis suitable |
| 出版日期 | Textbook 2010 |
| 关键词 | Ekeland’s epsilon-variational principle; Newton‘s method; Operations Research; algorithms; convex polyhe |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-387-68407-9 |
| isbn_softcover | 978-1-4614-2647-9 |
| isbn_ebook | 978-0-387-68407-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media, LLC 2010 |
发表于 2025-3-21 16:23:01
