Fundamentals of Convex Analysis and Optimization: A Supremum Function Approach (Springer Series in Operations Research and Financial Engineering) free ebook download.

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Fundamentals of Convex Analysis and Optimization: A Supremum Function Approach (Springer Series in Operations Research and Financial Engineering) free ebook download

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Mathematics

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Author(s):	Rafael Correa

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	3031295501
Pages:	457	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	7/30/2023 2:04:20 AM

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This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a direct approach to the mathematical foundations of convex optimization, in particular to optimality and duality theory. Other applications in the book concern convexification processes in optimization, non-convex integration of the Fenchel subdifferential, variational characterizations of convexity, and the study of Chebychev sets. At the same time, the underlying geometrical meaning of all the involved concepts and operations is highlighted and duly emphasized. A notable feature of the book is its unifying methodology, as well as the novelty of providing an alternative or complementary view to the traditional one in which the discipline is presented to students and researchers.

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3188535	Book	https://nitroflare.com/view/41ECB08FC4DF...		0.00	topron

Tags: Analysis Approach Convex Function Fundamentals Operations Optimization Research Springer Supremum

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