LEADER 02859nam 22005415 450 001 9910338250403321 005 20200704073335.0 010 $a3-030-14977-3 024 7 $a10.1007/978-3-030-14977-2 035 $a(CKB)4100000007992447 035 $a(DE-He213)978-3-030-14977-2 035 $a(MiAaPQ)EBC5926787 035 $a(PPN)235668982 035 $a(EXLCZ)994100000007992447 100 $a20190424d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aConvex and Stochastic Optimization /$fby J. Frédéric Bonnans 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 311 p.) 225 1 $aUniversitext,$x0172-5939 311 $a3-030-14976-5 320 $aIncludes bibliographical references and index. 327 $a1 A convex optimization toolbox -- 2 Semide?nite and semiin?nite 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. . 330 $aThis textbook provides an introduction to convex duality for optimization problems in Banach spaces, integration theory, and their application to stochastic programming problems in a static or dynamic setting. It introduces and analyses the main algorithms for stochastic programs, while the theoretical aspects are carefully dealt with. The reader is shown how these tools can be applied to various fields, including approximation theory, semidefinite and second-order cone programming and linear decision rules. This textbook is recommended for students, engineers and researchers who are willing to take a rigorous approach to the mathematics involved in the application of duality theory to optimization with uncertainty. 410 0$aUniversitext,$x0172-5939 606 $aMathematical optimization 606 $aProbabilities 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aMathematical optimization. 615 0$aProbabilities. 615 14$aOptimization. 615 24$aProbability Theory and Stochastic Processes. 676 $a519.3 676 $a519.6 700 $aBonnans$b J. Frédéric$4aut$4http://id.loc.gov/vocabulary/relators/aut$01061000 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910338250403321 996 $aConvex and Stochastic Optimization$92517017 997 $aUNINA