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Lectures on convex optimization

Nesterov, Yurii.

Lectures on convex optimization

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lectures on convex optimizationby Yurii Nesterov.
作者:	Nesterov, Yurii.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xxiii, 589 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematical optimization.
電子資源:	https://doi.org/10.1007/978-3-319-91578-4
ISBN:	9783319915784$q(electronic bk.)

Lectures on convex optimization
Nesterov, Yurii.

Lectures on convex optimization[electronic resource] /by Yurii Nesterov. - 2nd ed. - Cham :Springer International Publishing :2018. - xxiii, 589 p. :ill., digital ;24 cm. - Springer optimization and its applications,v.1371931-6828 ;. - Springer optimization and its applications ;v. 3..

Introduction -- Part I Black-Box Optimization -- 1 Nonlinear Optimization -- 2 Smooth Convex Optimization -- 3 Nonsmooth Convex Optimization -- 4 Second-Order Methods -- Part II Structural Optimization -- 5 Polynomial-time Interior-Point Methods -- 6 Primal-Dual Model of Objective Function -- 7 Optimization in Relative Scale -- Bibliographical Comments -- Appendix A. Solving some Auxiliary Optimization Problems -- References -- Index.

This book provides a comprehensive, modern introduction to convex optimization, a field that is becoming increasingly important in applied mathematics, economics and finance, engineering, and computer science, notably in data science and machine learning. Written by a leading expert in the field, this book includes recent advances in the algorithmic theory of convex optimization, naturally complementing the existing literature. It contains a unified and rigorous presentation of the acceleration techniques for minimization schemes of first- and second-order. It provides readers with a full treatment of the smoothing technique, which has tremendously extended the abilities of gradient-type methods. Several powerful approaches in structural optimization, including optimization in relative scale and polynomial-time interior-point methods, are also discussed in detail. Researchers in theoretical optimization as well as professionals working on optimization problems will find this book very useful. It presents many successful examples of how to develop very fast specialized minimization algorithms. Based on the author's lectures, it can naturally serve as the basis for introductory and advanced courses in convex optimization for students in engineering, economics, computer science and mathematics.

ISBN: 9783319915784$q(electronic bk.)

Standard No.: 10.1007/978-3-319-91578-4doiSubjects--Topical Terms:

183292
Mathematical optimization.

LC Class. No.: QA402.5 / .N478 2018

Dewey Class. No.: 519.6

Lectures on convex optimization
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505 0 $a Introduction -- Part I Black-Box Optimization -- 1 Nonlinear Optimization -- 2 Smooth Convex Optimization -- 3 Nonsmooth Convex Optimization -- 4 Second-Order Methods -- Part II Structural Optimization -- 5 Polynomial-time Interior-Point Methods -- 6 Primal-Dual Model of Objective Function -- 7 Optimization in Relative Scale -- Bibliographical Comments -- Appendix A. Solving some Auxiliary Optimization Problems -- References -- Index.
520 $a This book provides a comprehensive, modern introduction to convex optimization, a field that is becoming increasingly important in applied mathematics, economics and finance, engineering, and computer science, notably in data science and machine learning. Written by a leading expert in the field, this book includes recent advances in the algorithmic theory of convex optimization, naturally complementing the existing literature. It contains a unified and rigorous presentation of the acceleration techniques for minimization schemes of first- and second-order. It provides readers with a full treatment of the smoothing technique, which has tremendously extended the abilities of gradient-type methods. Several powerful approaches in structural optimization, including optimization in relative scale and polynomial-time interior-point methods, are also discussed in detail. Researchers in theoretical optimization as well as professionals working on optimization problems will find this book very useful. It presents many successful examples of how to develop very fast specialized minimization algorithms. Based on the author's lectures, it can naturally serve as the basis for introductory and advanced courses in convex optimization for students in engineering, economics, computer science and mathematics.
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