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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.
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.
Preface.- PART I. SURVEYS.- Linear Semi-infinite Optimization: Recent Advances (M.A. Goberna).- Some Theoretical Aspects of Newton's Method for Constrained Best Interpolation (H.-D. Qi).- Optimization Methods in Direct and Inverse Scattering (A.G. Ramm, S. Gutman).- On Complexity of Stochastic Programming Problems (A. Shapiro, A. Nemirovski).- Nonlinear Optimization in Modeling Environments: Software Implementations for Compilers, Spreadsheets, Modeling Languages, and Integrated Computing Systems (J.D. Pintér).- Supervised Data Classification via Max-min Separability (A.M. Bagirov, J. Ugon).- A Review of Applications of the Cutting Angle Methods (G. Beliakov).- PART II. THEORY AND NUMERICAL METHODS.- A Numerical Method for Concave Programming Problems (A. Chinchuluun, E. Rentsen, P.M. Pardalos).- Convexification and Monotone Optimization (X. Sun, J. Li, D. Li).- Generalized Lagrange Multipliers for Nonconvex Directionally Differentiable Programs (N. Dinh, G.M. Lee, L.A. Tuan).- Slice Convergence of Sums of Conves Functions in Banach Spaces and Saddle Point Convergence (R. Wenczel, A. Eberhard).- Topical Functions and Their Properties in a Class of Ordered Banach Spaces (H. Mohebi).- PART III. APPLICATIONS.- Dynamical Systems Described by Relational Elasticities with Applications (M. Mammadov, A. Rubinov, J. Yearwood).- Impulsive Control of a Sequence of Rumour Processes (C. Pearce, Y. Kaya, S. Belen).- Minimization of the Sum of Minima of Conves Functions and Its Application to Clustering (A. Rubinov, N. Soukhorokova, J. Ugon).- Analysis of a Practical Control Policy for Water Storage in Two Connected Dams (P. Howlett, J. Piantadosi, C. Pearce).