Convex and stochastic optimization /

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Bibliographic Details
Author / Creator:Bonnans, J. F. (Joseph Frédéric), 1957- author.
Imprint:Cham, Switzerland : Springer, [2019]
Description:1 online resource
Language:English
Series:Universitext
Universitext.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11873890
Hidden Bibliographic Details
ISBN:9783030149772
3030149773
9783030149789
3030149781
3030149765
9783030149765
Digital file characteristics:text file
PDF
Notes:Includes bibliographical references and index.
Online resource; title from digital title page (viewed on May 23, 2019).
Summary:This textbook provides an introduction to convex duality for optimization problems in Banach spaces, integration theory, and their application to stochastic programming problems in a static or dynamic setting. It introduces and analyses the main algorithms for stochastic programs, while the theoretical aspects are carefully dealt with. The reader is shown how these tools can be applied to various fields, including approximation theory, semidefinite and second-order cone programming and linear decision rules. This textbook is recommended for students, engineers and researchers who are willing to take a rigorous approach to the mathematics involved in the application of duality theory to optimization with uncertainty.
Other form:Print version: Bonnans, J.F. (Joseph Frédéric), 1957- Convex and stochastic optimization. Cham, Switzerland : Springer, [2019] 3030149765 9783030149765
Standard no.:10.1007/978-3-030-14977-2

MARC

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505 0 |a 1 A convex optimization toolbox -- 2 Semidefinite and semiinfinite programming -- 3 An integration toolbox -- 4 Risk measures -- 5 Sampling and optimizing -- 6 Dynamic stochastic optimization -- 7 Markov decision processes -- 8 Algorithms -- 9 Generalized convexity and transportation theory -- References -- Index. . 
520 |a This textbook provides an introduction to convex duality for optimization problems in Banach spaces, integration theory, and their application to stochastic programming problems in a static or dynamic setting. It introduces and analyses the main algorithms for stochastic programs, while the theoretical aspects are carefully dealt with. The reader is shown how these tools can be applied to various fields, including approximation theory, semidefinite and second-order cone programming and linear decision rules. This textbook is recommended for students, engineers and researchers who are willing to take a rigorous approach to the mathematics involved in the application of duality theory to optimization with uncertainty. 
650 0 |a Mathematical optimization.  |0 http://id.loc.gov/authorities/subjects/sh85082127 
650 0 |a Stochastic processes.  |0 http://id.loc.gov/authorities/subjects/sh85128181 
650 0 |a Convex functions.  |0 http://id.loc.gov/authorities/subjects/sh85031728 
650 7 |a Convex functions.  |2 fast  |0 (OCoLC)fst00877260 
650 7 |a Mathematical optimization.  |2 fast  |0 (OCoLC)fst01012099 
650 7 |a Stochastic processes.  |2 fast  |0 (OCoLC)fst01133519 
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