Continuous Optimization: Current Trends and Modern Applications

✍ Scribed by Miguel A. Goberna (auth.), Vaithilingam Jeyakumar, Alexander Rubinov (eds.)

• Publisher: Springer US
• Year: 2005
• Tongue: English
• Leaves: 453
• Series: Applied Optimization 99
• Edition: 1
• Category: Library

✦ Synopsis

The search for the best possible performance is inherent in human nature. Individuals, enterprises and governments all seek optimal—that is, the best—possible solutions of problems that they meet. Evidently, continuous optimization plays an increasingly significant role in everyday management and technical decisions in science, engineering and commerce.

The collection of 16 refereed papers in this book covers a diverse number of topics and provides a good picture of recent research in continuous optimization. The first part of the book presents substantive survey articles in a number of important topic areas of continuous optimization. Most of the papers in the second part present results on the theoretical aspects as well as numerical methods of continuous optimization. The papers in the third part are mainly concerned with applications of continuous optimization.

Hence, the book will be an additional valuable source of information to faculty, students, and researchers who use continuous optimization to model and solve problems.

Audience

This book is intended for researchers in mathematical programming, optimization and operations research; engineers in various fields; and graduate students in applied mathematics, engineering and operations research.

✦ Table of Contents

Front Matter....Pages 1-1
Linear Semi-infinite Optimization: Recent Advances....Pages 3-22
Some Theoretical Aspects of Newton’s Method for Constrained Best Interpolation....Pages 23-49
Optimization Methods in Direct and Inverse Scattering....Pages 51-110
On Complexity of Stochastic Programming Problems....Pages 111-146
Nonlinear Optimization in Modeling Environments....Pages 147-173
Supervised Data Classification via Max-min Separability....Pages 175-207
A Review of Applications of the Cutting Angle Methods....Pages 209-248
Front Matter....Pages 249-249
A Numerical Method for Concave Programming Problems....Pages 251-273
Convexification and Monotone Optimization....Pages 275-291
Generalized Lagrange Multipliers for Nonconvex Directionally Differentiable Programs....Pages 293-319
Slice Convergence of Sums of Convex functions in Banach Spaces and Saddle Point Convergence....Pages 321-341
Topical Functions and their Properties in a Class of Ordered Banach Spaces....Pages 343-361
Front Matter....Pages 363-363
Dynamical Systems Described by Relational Elasticities with Applications....Pages 365-385
Impulsive Control of a Sequence of Rumour Processes....Pages 387-407
Minimization of the Sum of Minima of Convex Functions and Its Application to Clustering....Pages 409-434
Analysis of a Practical Control Policy for Water Storage in Two Connected Dams....Pages 435-450

✦ Subjects

Optimization; Mathematical Modeling and Industrial Mathematics; Operations Research, Mathematical Programming; Applications of Mathematics