| 书目名称 | Optimization | | 副标题 | Algorithms and Consi | | 编辑 | Elijah Polak | | 视频video | | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | This book deals with optimality conditions, algorithms, and discretization tech niques for nonlinear programming, semi-infinite optimization, and optimal con trol problems. The unifying thread in the presentation consists of an abstract theory, within which optimality conditions are expressed in the form of zeros of optimality junctions, algorithms are characterized by point-to-set iteration maps, and all the numerical approximations required in the solution of semi-infinite optimization and optimal control problems are treated within the context of con sistent approximations and algorithm implementation techniques. Traditionally, necessary optimality conditions for optimization problems are presented in Lagrange, F. John, or Karush-Kuhn-Tucker multiplier forms, with gradients used for smooth problems and subgradients for nonsmooth prob lems. We present these classical optimality conditions and show that they are satisfied at a point if and only if this point is a zero of an upper semicontinuous optimality junction. The use of optimality functions has several advantages. First, optimality functions can be used in an abstract study of optimization algo rithms. Second, many opti | | 出版日期 | Book 1997 | | 关键词 | Newton‘s method; Optimal control; Optimality Conditions; Optimization algorithm; Optimization algorithms | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0663-7 | | isbn_softcover | 978-1-4612-6861-1 | | isbn_ebook | 978-1-4612-0663-7Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer-Verlag New York, Inc. 1997 |
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发表于 2025-3-21 18:40:07
