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Convex Analysis for Optimization = A Unified Approach /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Convex Analysis for Optimization/ by Jan Brinkhuis.
其他題名:	A Unified Approach /
作者:	Brinkhuis, Jan.
面頁冊數:	XXVII, 257 p. 92 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Convex and Discrete Geometry. -
電子資源:	https://doi.org/10.1007/978-3-030-41804-5
ISBN:	9783030418045

Convex Analysis for Optimization = A Unified Approach /
Brinkhuis, Jan.

Convex Analysis for OptimizationA Unified Approach /[electronic resource] :by Jan Brinkhuis. - 1st ed. 2020. - XXVII, 257 p. 92 illus.online resource. - Graduate Texts in Operations Research,2662-6012. - Graduate Texts in Operations Research,.

Convex Sets: Basic properties -- Convex Sets: Binary Operations -- Convex Sets: Topological Properties -- Convex Sets: Dual Description -- Convex Functions: Basic Properties -- Convex Functions: Dual Description -- Convex Problems: The Main Questions -- Optimality Conditions: Reformulations -- Application to Convex Problems. .

This textbook offers graduate students a concise introduction to the classic notions of convex optimization. Written in a highly accessible style and including numerous examples and illustrations, it presents everything readers need to know about convexity and convex optimization. The book introduces a systematic three-step method for doing everything, which can be summarized as "conify, work, deconify". It starts with the concept of convex sets, their primal description, constructions, topological properties and dual description, and then moves on to convex functions and the fundamental principles of convex optimization and their use in the complete analysis of convex optimization problems by means of a systematic four-step method. Lastly, it includes chapters on alternative formulations of optimality conditions and on illustrations of their use. "The author deals with the delicate subjects in a precise yet light-minded spirit... For experts in the field, this book not only offers a unifying view, but also opens a door to new discoveries in convexity and optimization.... perfectly suited for classroom teaching." Shuzhong Zhang, Professor of Industrial and Systems Engineering, University of Minnesota.

ISBN: 9783030418045

Standard No.: 10.1007/978-3-030-41804-5doiSubjects--Topical Terms:

672138
Convex and Discrete Geometry.

LC Class. No.: HD30.23

Dewey Class. No.: 658.40301

Convex Analysis for Optimization = A Unified Approach /
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