Advances In Applied Mathematics And Global Optimization

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Author: David Y. Gao
Publisher: Springer Science & Business Media
ISBN: 0387757147
Size: 23.58 MB
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Advances In Applied Mathematics And Global Optimization by David Y. Gao


Original Title: Advances In Applied Mathematics And Global Optimization

The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.

Advances In Convex Analysis And Global Optimization

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Author: Nicolas Hadjisavvas
Publisher: Springer Science & Business Media
ISBN: 146130279X
Size: 28.19 MB
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Advances In Convex Analysis And Global Optimization by Nicolas Hadjisavvas


Original Title: Advances In Convex Analysis And Global Optimization

There has been much recent progress in global optimization algo rithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. Convex analysis plays a fun damental role in the analysis and development of global optimization algorithms. This is due essentially to the fact that virtually all noncon vex optimization problems can be described using differences of convex functions and differences of convex sets. A conference on Convex Analysis and Global Optimization was held during June 5 -9, 2000 at Pythagorion, Samos, Greece. The conference was honoring the memory of C. Caratheodory (1873-1950) and was en dorsed by the Mathematical Programming Society (MPS) and by the Society for Industrial and Applied Mathematics (SIAM) Activity Group in Optimization. The conference was sponsored by the European Union (through the EPEAEK program), the Department of Mathematics of the Aegean University and the Center for Applied Optimization of the University of Florida, by the General Secretariat of Research and Tech nology of Greece, by the Ministry of Education of Greece, and several local Greek government agencies and companies. This volume contains a selective collection of refereed papers based on invited and contribut ing talks presented at this conference. The two themes of convexity and global optimization pervade this book. The conference provided a forum for researchers working on different aspects of convexity and global opti mization to present their recent discoveries, and to interact with people working on complementary aspects of mathematical programming.

Advances In Stochastic And Deterministic Global Optimization

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Author: Panos M. Pardalos
Publisher: Springer
ISBN: 3319299751
Size: 59.22 MB
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Advances In Stochastic And Deterministic Global Optimization by Panos M. Pardalos


Original Title: Advances In Stochastic And Deterministic Global Optimization

Current research results in stochastic and deterministic global optimization including single and multiple objectives are explored and presented in this book by leading specialists from various fields. Contributions include applications to multidimensional data visualization, regression, survey calibration, inventory management, timetabling, chemical engineering, energy systems, and competitive facility location. Graduate students, researchers, and scientists in computer science, numerical analysis, optimization, and applied mathematics will be fascinated by the theoretical, computational, and application-oriented aspects of stochastic and deterministic global optimization explored in this book. This volume is dedicated to the 70th birthday of Antanas Žilinskas who is a leading world expert in global optimization. Professor Žilinskas's research has concentrated on studying models for the objective function, the development and implementation of efficient algorithms for global optimization with single and multiple objectives, and application of algorithms for solving real-world practical problems.

Advances And Trends In Optimization With Engineering Applications

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Author: TamØs Terlaky
Publisher: SIAM
ISBN: 1611974682
Size: 55.68 MB
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Advances And Trends In Optimization With Engineering Applications by TamØs Terlaky


Original Title: Advances And Trends In Optimization With Engineering Applications

Optimization is of critical importance in engineering. Engineers constantly strive for the best possible solutions, the most economical use of limited resources, and the greatest efficiency. As system complexity increases, these goals mandate the use of state-of-the-art optimization techniques. In recent years, the theory and methodology of optimization have seen revolutionary improvements. Moreover, the exponential growth in computational power, along with the availability of multicore computing with virtually unlimited memory and storage capacity, has fundamentally changed what engineers can do to optimize their designs. This is a two-way process: engineers benefit from developments in optimization methodology, and challenging new classes of optimization problems arise from novel engineering applications. Advances and Trends in Optimization with Engineering Applications reviews 10 major areas of optimization and related engineering applications, providing a broad summary of state-of-the-art optimization techniques most important to engineering practice. Each part provides a clear overview of a specific area and discusses a range of real-world problems. The book provides a solid foundation for engineers and mathematical optimizers alike who want to understand the importance of optimization methods to engineering and the capabilities of these methods.

Recent Advances In Global Optimization

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Author: Christodoulos A. Floudas
Publisher: Princeton University Press
ISBN: 1400862523
Size: 57.98 MB
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Recent Advances In Global Optimization by Christodoulos A. Floudas


Original Title: Recent Advances In Global Optimization

This book will present the papers delivered at the first U.S. conference devoted exclusively to global optimization and will thus provide valuable insights into the significant research on the topic that has been emerging during recent years. Held at Princeton University in May 1991, the conference brought together an interdisciplinary group of the most active developers of algorithms for global optimization in order to focus the attention of the mathematical programming community on the unsolved problems and diverse applications of this field. The main subjects addressed at the conference were advances in deterministic and stochastic methods for global optimization, parallel algorithms for global optimization problems, and applications of global optimization. Although global optimization is primarily a mathematical problem, it is relevant to several other disciplines, including computer science, applied mathematics, physical chemistry, molecular biology, statistics, physics, engineering, operations research, communication theory, and economics. Global optimization problems originate from a wide variety of mathematical models of real-world systems. Some of its applications are allocation and location problems and VLSI and data-base design problems. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Deterministic Global Optimization

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Author: Christodoulos A. Floudas
Publisher: Springer Science & Business Media
ISBN: 9780792360148
Size: 12.59 MB
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Deterministic Global Optimization by Christodoulos A. Floudas


Original Title: Deterministic Global Optimization

This book provides a unified and insightful treatment of deterministic global optimization. It introduces theoretical and algorithmic advances that address the computation and characterization of global optima, determine valid lower and upper bounds on the global minima and maxima, and enclose all solutions of nonlinear constrained systems of equations. Among its special features, the book: Introduces the fundamentals of deterministic global optimization; Provides a thorough treatment of decomposition-based global optimization approaches for biconvex and bilinear problems; Covers global optimization methods for generalized geometric programming problems Presents in-depth global optimization algorithms for general twice continuously differentiable nonlinear problems; Provides a detailed treatment of global optimization methods for mixed-integer nonlinear problems; Develops global optimization approaches for the enclosure of all solutions of nonlinear constrained systems of equations; Includes many important applications from process design, synthesis, control, and operations, phase equilibrium, design under uncertainty, parameter estimation, azeotrope prediction, structure prediction in clusters and molecules, protein folding, and peptide docking. Audience: This book can be used as a textbook in graduate-level courses and as a desk reference for researchers in all branches of engineering and applied science, applied mathematics, industrial engineering, operations research, computer science, economics, computational chemistry and molecular biology.

Convex Analysis And Global Optimization

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Author: Hoang Tuy
Publisher: Springer Science & Business Media
ISBN: 1475728093
Size: 28.23 MB
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Convex Analysis And Global Optimization by Hoang Tuy


Original Title: Convex Analysis And Global Optimization

Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Part I constitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of global search principles such as partitioning and cutting, outer and inner approximation, and decomposition to general global optimization problems and to problems with a low-rank nonconvex structure as well as quadratic problems. Much new material is offered, aside from a rigorous mathematical development. Audience: The book is written as a text for graduate students in engineering, mathematics, operations research, computer science and other disciplines dealing with optimization theory. It is also addressed to all scientists in various fields who are interested in mathematical optimization.

Iterative Methods For Optimization

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Author: C. T. Kelley
Publisher: SIAM
ISBN: 9781611970920
Size: 80.89 MB
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Iterative Methods For Optimization by C. T. Kelley


Original Title: Iterative Methods For Optimization

This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages.

Optimization And Optimal Control

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Author: Panos M Pardalos
Publisher: World Scientific
ISBN: 9814485071
Size: 44.96 MB
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Optimization And Optimal Control by Panos M Pardalos


Original Title: Optimization And Optimal Control

This volume gives the latest advances in optimization and optimal control which are the main part of applied mathematics. It covers various topics of optimization, optimal control and operations research. Contents:Extragradient Approach to the Solution of Two Person Non-Zero Sum Games (A Antipin)Nonlinear Phenomena in Economics (S Budnyam)On Some Theory, Methods and Algorithms for Concave Programming (R Enkhbat)Maximum Clique Regularizations (D Fortin & I Tseveendorj)The Role of Optimization in Economics (D W Katzner)A Global Optimization Approach to Solving Equilibrium Programming Problems (O Khamisov)Comparison of Convex Relaxations for Monomials of Odd Degree (L Liberti)Structural Stability of Vector Optimization Problems (P Mbunga)Optimization for Black-Box Objective Functions (H Nakayama et al.)New Variants of Gradient Type Methods in Optimal Control Problems (V A Srochko)Controlled Systems with Distributed Parameters: Optimally Conditions and Optimization Methods in Class of Smooth Restricted Controls (O V Vasiliev)The Points of a Linear Manifold Nearest to a Given Vector (V I Zorkaltsev)and other articles Readership: Researchers in optimization, engineering and operations research. Keywords:Optimization;Optimal Control;Global Optimization;Vector Optimization;Game Theory;Fuzzy Optimization;D C Optimization

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