Foundations of Optimization

• Main Author: G<U+00fc>ler, Osman. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Graduate Texts in Mathematics, 258
• Subjects: Mathematics.; Mathematical optimization.; Operations research.; Optimization.; Calculus of Variations and Optimal Control, Optimization.; Operations Research, Mathematical Programming.; Applications of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-68407-9

The book gives a detailed and rigorous treatment of the theory of optimization (unconstrained optimization, nonlinear programming, semi-infinite programming, etc.) in finite-dimensional spaces. The fundamental results of convexity theory and the theory of duality in nonlinear programming and the the...

Table of Contents:

• Calculus in Vector Spaces
• Unconstrained Optimization
• Convex Analysis
• Theory of Convex Polyhedra
• Some Basic Optimization Algorithms
• Theory of Lagrange Multipliers
• Semi-infinite Programming
• Duality Theory and Convex Programming
• References
• Index.