TY  - BOOK
AU  - Bot,Radu Ioan
ED  - SpringerLink (Online service)
TI  - Conjugate Duality in Convex Optimization
T2  - Lecture Notes in Economics and Mathematical Systems,
SN  - 9783642049002
AV  - QA402-402.37 
U1  - 519.6 23
PY  - 2010///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Systems theory
KW  - Mathematical optimization
KW  - Operations research
KW  - Operations Research, Mathematical Programming
KW  - Operations Research/Decision Theory
KW  - Optimization
KW  - Systems Theory, Control
KW  - Analysis
N1  - Perturbation 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
N2  - This 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-04900-2
ER  -