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Elementary convexity with optimization

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Elementary convexity with optimizationby Vivek S. Borkar, K. S. Mallikarjuna Rao.
作者:	Borkar, Vivek S.
其他作者:	Rao, K. S. Mallikarjuna.
出版者:	Singapore :Springer Nature Singapore :2023.
面頁冊數:	xii, 139 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Convex sets.
電子資源:	https://doi.org/10.1007/978-981-99-1652-8
ISBN:	9789819916528$q(electronic bk.)

Elementary convexity with optimization
Borkar, Vivek S.

Elementary convexity with optimization[electronic resource] /by Vivek S. Borkar, K. S. Mallikarjuna Rao. - Singapore :Springer Nature Singapore :2023. - xii, 139 p. :ill., digital ;24 cm. - Texts and readings in mathematics,v. 832366-8725 ;. - Texts and readings in mathematics,v. 83..

Continuity and existence of optima -- Differentiability and local optimality -- Convex sets -- Convex functions -- Convex optimization -- Optimization algorithms: an overview -- Epilogue.

This book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis. Brief accounts of advanced calculus and real analysis are included within the book. The emphasis is on building a geometric intuition for the subject, which is aided further by supporting figures. Two distinguishing features of this book are the use of elementary alternative proofs of many results and an eclectic collection of useful concepts from optimization and convexity often needed by researchers in optimization, game theory, control theory, and mathematical economics. A full chapter on optimization algorithms gives an overview of the field, touching upon many current themes. The book is useful to advanced undergraduate and graduate students as well as researchers in the fields mentioned above and in various engineering disciplines.

ISBN: 9789819916528$q(electronic bk.)

Standard No.: 10.1007/978-981-99-1652-8doiSubjects--Topical Terms:

224641
Convex sets.

LC Class. No.: QA640

Dewey Class. No.: 516.08

Elementary convexity with optimization
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505 0 $a Continuity and existence of optima -- Differentiability and local optimality -- Convex sets -- Convex functions -- Convex optimization -- Optimization algorithms: an overview -- Epilogue.
520 $a This book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis. Brief accounts of advanced calculus and real analysis are included within the book. The emphasis is on building a geometric intuition for the subject, which is aided further by supporting figures. Two distinguishing features of this book are the use of elementary alternative proofs of many results and an eclectic collection of useful concepts from optimization and convexity often needed by researchers in optimization, game theory, control theory, and mathematical economics. A full chapter on optimization algorithms gives an overview of the field, touching upon many current themes. The book is useful to advanced undergraduate and graduate students as well as researchers in the fields mentioned above and in various engineering disciplines.
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