TY  - BOOK
AU  - Bector,C.R.
AU  - Chandra,Suresh
AU  - Dutta,Jayasri
TI  - Principles of optimization theory
SN  - 1842651668
AV  - QA402.5 .B43 2005
PY  - 2005///]
CY  - Harrow
PB  - Alpha Science International Limited
KW  - Mathematical optimization
KW  - Maxima and minima
N1  - Includes bibliographical references (pages 217-221) and index; Introduction; Optimization: A Little History; Definitions and Basic Facts; Conditions for a Minimum/ Elements of Convex Analysis; Convex Sets and Separation Theorems; Polyhedral Convex Sets and Farkas lemma/ Convex Functions: basic Properties and Generalization; Subdifferentials and Calculus Rules; Tangent and Normal Cones; Theorems of the Alternative; Karush-Kuhn-Tucker Conditions; Unconstrained Minimization; Fritz-John Conditios; Karush-Kuhn-Tucker Conditions; Generalized Convexity and Sufficiency; Equality Constraints; Convex Optimization; The Basic Problem; Convex Optimization with Inequality Constraints; Saddle Point Conditions; Convex Optimization with Mixed Constraints; Nonsmooth Optimization; Clarke Subdifferential and Related Results; Clarke Tangent and Normal Cones; Optimality Conditions in Lipschitz Optimization; Applications to Strict Minimization; Generalized Convexity and Nonsmoothness; Quasidifferentials and Optimality Conditions; Subdifferentials of Non-Lipschitz Functions: Some Ideas; Duality; The Value Function and Lagrangian Duality; Fenchel Duality; Fractional Programming Duality; Nonlinear Lagrangian and Nonconvex Duality; Monotone and Generalized Monotone Maps; Motivation; Convexity and Monotonicity; Subdifferential as a Monotone Map; Quasimonotone and Pseudomonotone maps; Bibliography; Index
ER  -