000 a
999 _c32408
_d32408
008 230830b xxu||||| |||| 00| 0 eng d
020 _a9783030149765
082 _a519.6
_bBON
100 _aBonnans, J. F.
245 _aConvex and stochastic optimization
260 _bSpringer,
_c2019
_aCham :
300 _axiii, 311 p. ;
_c24 cm
_bill.,
365 _b59.99
_cEUR
_d94.90
490 _aUniversitext
504 _aIncludes bibliographical references and index.
520 _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.
650 _aConvex functions
650 _aAcceptation set
650 _aBounded in probability
650 _aConvex function
650 _aDynamic programming
650 _aFunction moment generating
650 _aHadamard differentiability
650 _aIteration policy
650 _aLegendre transform
650 _aLemma
650 _aProbability
650 _aMeasure theory
942 _2ddc
_cBK