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Titlebook: Generalized Convexity and Optimization; Theory and Applicati Alberto Cambini,Laura Martein Book 2009 Springer-Verlag Berlin Heidelberg 2009

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发表于 2025-3-21 17:03:06 | 显示全部楼层 |阅读模式
书目名称Generalized Convexity and Optimization
副标题Theory and Applicati
编辑Alberto Cambini,Laura Martein
视频video
概述Unified framework of the most relevant results.With proofs, exercises and solutions.Useful tool for researchers as well as advanced students.Includes supplementary material:
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Generalized Convexity and Optimization; Theory and Applicati Alberto Cambini,Laura Martein Book 2009 Springer-Verlag Berlin Heidelberg 2009
描述.The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for describing real-world problems. The book will be a useful tool not only for researchers, but also for graduates and advanced students working in economics, mathematical programming, the management sciences and operations research. It begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. The text continues with an introductory chapter devoted to generalized monotonicity and its relationship to generalized convexity, with the characterizations of important classes of fractional programming, and with theoretical properties and sequential methods. The book also includes numerous exercises and two appendices which list the findings consulted..."I can highly recommend this excellent new volume to anyone who is trying to teach on generalized convexity/generalized monotonicity in an applied mathematics
出版日期Book 2009
关键词Convexity; Fractional Programming; Generalized Convexity; Generalized Monotonicity; Operations Research;
版次1
doihttps://doi.org/10.1007/978-3-540-70876-6
isbn_softcover978-3-540-70875-9
isbn_ebook978-3-540-70876-6Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 2009
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发表于 2025-3-21 22:02:48 | 显示全部楼层
Animesh Hazari,Arun G. Maiya,Taral V. Nagda solving generalized convex optimization problems has not yet been sufficiently developed. The only text-book in which solution methods for pseudolinear functions and generalized convex quadratic functions are proposed is Martos’ [211].
发表于 2025-3-22 00:38:17 | 显示全部楼层
Sequential Methods for Generalized Convex Fractional Programs, solving generalized convex optimization problems has not yet been sufficiently developed. The only text-book in which solution methods for pseudolinear functions and generalized convex quadratic functions are proposed is Martos’ [211].
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https://doi.org/10.1007/978-3-030-18137-6function is a ratio. Examples include maximization of productivity, maximization of return on investment, maximization of return/risk, minimization of cost/time. Linear fractional and generalized fractional problems may be found in different fields such as data envelopment analysis, tax programming,
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发表于 2025-3-23 09:24:00 | 显示全部楼层
https://doi.org/10.1007/978-1-349-20327-7In several economic models convexity appears to be a restrictive condition. For instance, classical assumptions in Economics include the convexity of the production set in producer theory and the convexity of the upper level sets of the utility function in consumer theory.
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