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Titlebook: Nonlinear Programming and Variational Inequality Problems; A Unified Approach Michael Patriksson Book 1999 Springer Science+Business Media

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书目名称Nonlinear Programming and Variational Inequality Problems
副标题A Unified Approach
编辑Michael Patriksson
视频video
丛书名称Applied Optimization
图书封面Titlebook: Nonlinear Programming and Variational Inequality Problems; A Unified Approach Michael Patriksson Book 1999 Springer Science+Business Media
描述Since I started working in the area of nonlinear programming and, later on, variational inequality problems, I have frequently been surprised to find that many algorithms, however scattered in numerous journals, monographs and books, and described rather differently, are closely related to each other. This book is meant to help the reader understand and relate algorithms to each other in some intuitive fashion, and represents, in this respect, a consolidation of the field. The framework of algorithms presented in this book is called Cost Approxi­ mation. (The preface of the Ph.D. thesis [Pat93d] explains the background to the work that lead to the thesis, and ultimately to this book.) It describes, for a given formulation of a variational inequality or nonlinear programming problem, an algorithm by means of approximating mappings and problems, a principle for the update of the iteration points, and a merit function which guides and monitors the convergence of the algorithm. One purpose of this book is to offer this framework as an intuitively appeal­ ing tool for describing an algorithm. One of the advantages of the framework, or any reasonable framework for that matter, is that tw
出版日期Book 1999
关键词Approximation; algorithms; linear optimization; nonlinear optimization; optimization; programming
版次1
doihttps://doi.org/10.1007/978-1-4757-2991-7
isbn_softcover978-1-4419-4806-9
isbn_ebook978-1-4757-2991-7Series ISSN 1384-6485
issn_series 1384-6485
copyrightSpringer Science+Business Media Dordrecht 1999
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Convergence of the CA algorithm for variational inequality problems,es the use of different step length rules and truncated subproblems, and convergence rate results. We then outline some of the known convergence results for CA algorithms which are not based on the explicit use of a merit function, such as fixed-point based algorithms.
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Parallel and sequential decomposition CA algorithms,n expect a continuing development of faster computers, new computer architectures, and designated chips for the most important applications; in order to take full advantage of this development, the area of parallel algorithm design will however need to mature with at least the same rate.
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978-1-4419-4806-9Springer Science+Business Media Dordrecht 1999
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Applied Optimizationhttp://image.papertrans.cn/n/image/667673.jpg
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