Foundations of Optimization

• Main Author: Güler, Osman (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Graduate Texts in Mathematics, 258
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Mathematical optimization.; Calculus of variations.; Operations research.; Management science.; Operations Research, Management Science.; Optimization.; Calculus of Variations and Optimal Control; Optimization.; Applications of Mathematics.

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:

• Differential Calculus
• Unconstrained Optimization
• Variational Principles
• Convex Analysis
• Structure of Convex Sets and Functions
• Separation of Convex Sets
• Convex Polyhedra
• Linear Programming
• Nonlinear Programming
• Structured Optimization Problems
• Duality Theory and Convex Programming
• Semi-infinite Programming
• Topics in Convexity
• Three Basic Optimization Algorithms.