000 02984nam a22005175i 4500
001 u373708
003 SIRSI
005 20160812084159.0
007 cr nn 008mamaa
008 100301s2010 gw | s |||| 0|eng d
020 _a9783642049002
_9978-3-642-04900-2
040 _cMX-MeUAM
050 4 _aQA402-402.37
050 4 _aT57.6-57.97
082 0 4 _a519.6
_223
100 1 _aBot, Radu Ioan.
_eauthor.
245 1 0 _aConjugate Duality in Convex Optimization
_h[recurso electrónico] /
_cby Radu Ioan Bot.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXII, 164p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Economics and Mathematical Systems,
_x0075-8442 ;
_v637
505 0 _aPerturbation Functions and Dual Problems -- Moreau–Rockafellar Formulae and Closedness-Type Regularity Conditions -- Biconjugate Functions -- Strong and Total Conjugate Duality -- Unconventional Fenchel Duality -- Applications of the Duality to Monotone Operators.
520 _aThis book presents new achievements and results in the theory of conjugate duality for convex optimization problems. The perturbation approach for attaching a dual problem to a primal one makes the object of a preliminary chapter, where also an overview of the classical generalized interior point regularity conditions is given. A central role in the book is played by the formulation of generalized Moreau-Rockafellar formulae and closedness-type conditions, the latter constituting a new class of regularity conditions, in many situations with a wider applicability than the generalized interior point ones. The reader also receives deep insights into biconjugate calculus for convex functions, the relations between different existing strong duality notions, but also into several unconventional Fenchel duality topics. The final part of the book is consecrated to the applications of the convex duality theory in the field of monotone operators.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aSystems theory.
650 0 _aMathematical optimization.
650 0 _aOperations research.
650 1 4 _aMathematics.
650 2 4 _aOperations Research, Mathematical Programming.
650 2 4 _aOperations Research/Decision Theory.
650 2 4 _aOptimization.
650 2 4 _aSystems Theory, Control.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642048999
830 0 _aLecture Notes in Economics and Mathematical Systems,
_x0075-8442 ;
_v637
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-04900-2
596 _a19
942 _cLIBRO_ELEC
999 _c201588
_d201588