Optimization

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Author: Kenneth Lange
Publisher: Springer Science & Business Media
ISBN: 1461458382
Size: 76.28 MB
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Optimization by Kenneth Lange


Original Title: Optimization

Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance between presentation of mathematical theory and development of numerical algorithms. Building on students’ skills in calculus and linear algebra, the text provides a rigorous exposition without undue abstraction. Its stress on statistical applications will be especially appealing to graduate students of statistics and biostatistics. The intended audience also includes students in applied mathematics, computational biology, computer science, economics, and physics who want to see rigorous mathematics combined with real applications. In this second edition the emphasis remains on finite-dimensional optimization. New material has been added on the MM algorithm, block descent and ascent, and the calculus of variations. Convex calculus is now treated in much greater depth. Advanced topics such as the Fenchel conjugate, subdifferentials, duality, feasibility, alternating projections, projected gradient methods, exact penalty methods, and Bregman iteration will equip students with the essentials for understanding modern data mining techniques in high dimensions.

Optimization

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Author: H. Ronald Miller
Publisher: John Wiley & Sons
ISBN: 1118031180
Size: 44.16 MB
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Optimization by H. Ronald Miller


Original Title: Optimization

A thorough and highly accessible resource for analysts in a broad range of social sciences. Optimization: Foundations and Applications presents a series of approaches to the challenges faced by analysts who must find the best way to accomplish particular objectives, usually with the added complication of constraints on the available choices. Award-winning educator Ronald E. Miller provides detailed coverage of both classical, calculus-based approaches and newer, computer-based iterative methods. Dr. Miller lays a solid foundation for both linear and nonlinear models and quickly moves on to discuss applications, including iterative methods for root-finding and for unconstrained maximization, approaches to the inequality constrained linear programming problem, and the complexities of inequality constrained maximization and minimization in nonlinear problems. Other important features include: More than 200 geometric interpretations of algebraic results, emphasizing the intuitive appeal of mathematics Classic results mixed with modern numerical methods to aid users of computer programs Extensive appendices containing mathematical details important for a thorough understanding of the topic With special emphasis on questions most frequently asked by those encountering this material for the first time, Optimization: Foundations and Applications is an extremely useful resource for professionals in such areas as mathematics, engineering, economics and business, regional science, geography, sociology, political science, management and decision sciences, public policy analysis, and numerous other social sciences. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Optimization In Industry

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Author: T. a. J. Nicholson
Publisher: Transaction Publishers
ISBN: 0202367614
Size: 69.30 MB
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Optimization In Industry by T. a. J. Nicholson


Original Title: Optimization In Industry

The origin of any industrial optimization study lies in the theory that some improvement can be made in a controllable system. The possibility for improvements may arise in any context, for example, in the control of a chemical plant, the organization of production to meet delivery dates, the design of rubber compounds, in traffic signal settings, and so on. In this volume, T. A. J. Nicholson deals with applications of the industrial optimization techniques demonstrated in the first volume of this two-part project, Optimization in Industry: Optimization Techniques. Applications are classified by their main functional areas in industrial planning, design, and control. The fields covered are machine sequencing, stock control and scheduling, plant renewal, distribution, financial problems, and chemical process control and design. These last two, in particular, are subjects often overlooked in operations research curricula. In each field the place and status of optimization techniques is first described and then a wide range of realistic case studies and examples are reviewed, many of them international. The problems given in this volume are primarily concerned with formulation not with solution; the task is to formulate the problems to be solved by one or more of the methods described in volume one. By connecting the optimization techniques with their applications, the gap between the people devising the methods and the people who actually need to use them is bridged. As with the first volume, this text is also supported by new exercises and model answers making this book important as an introduction to the application of optimization techniques for students as well as a reference work for the practitioner. T. A. J. Nicholson is senior lecturer at the London School of Business Studies with research and consulting interests in industrial control systems.

Optimization

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Author: Lucien W. Neustadt
Publisher: Princeton University Press
ISBN: 1400870534
Size: 27.76 MB
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Optimization by Lucien W. Neustadt


Original Title: Optimization

This book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting. Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimization problems with equality and generalized "inequality" constraints. The treatment stresses the importance of the choice of the underlying set over which the optimization is to be performed, the delicate balance between differentiability-continuity requirements on the constraint functionals, and the manner in which the underlying set is approximated by a convex set. The generalized multiplier rules are used to derive abstract maximum principles for classes of optimization problems defined in terms of operator equations in a Banach space. It is shown that special cases include the usual maximum principles for general optimal control problems described in terms of diverse systems such as ordinary differential equations, functional differential equations, Volterra integral equations, and difference equations. Careful distinction is made throughout the analysis between "local" and "global" maximum principles. Originally published in 1977. 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.

Optimization In Economic Theory

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Author: Avinash K. Dixit
Publisher: Oxford University Press on Demand
ISBN: 9780198772101
Size: 39.15 MB
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Optimization In Economic Theory by Avinash K. Dixit


Original Title: Optimization In Economic Theory

Building on a base of simple economic theory and elementary linear algebra and calculus, this broad treatment of static and dynamic optimization methods discusses the importance of shadow prices, and reviews functions defined by solutions of optimization problems. Recently revised and expanded, the second edition will be a valuable resource for upper level undergraduate and graduate students.

Analytical Methods Of Optimization

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Author: D. F. Lawden
Publisher: Courier Corporation
ISBN: 0486145816
Size: 14.88 MB
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Analytical Methods Of Optimization by D. F. Lawden


Original Title: Analytical Methods Of Optimization

Suitable for advanced undergraduates and graduate students, this text surveys the classical theory of the calculus of variations. Topics include static systems, control systems, additional constraints, the Hamilton-Jacobi equation, and the accessory optimization problem. 1975 edition.

Iterative Methods For Optimization

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Author: C. T. Kelley
Publisher: SIAM
ISBN: 9781611970920
Size: 71.11 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.

Optimize

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Author: Lee Odden
Publisher: John Wiley & Sons
ISBN: 1118167775
Size: 19.56 MB
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Optimize by Lee Odden


Original Title: Optimize

Outlines an approach to integrating search and social media optimization with content marketing to boost relevance, visibility, and customer engagement, covering such topics as determining creative tactics and measuring value.

Optimization

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Author: Mohan C. Joshi
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842651964
Size: 63.73 MB
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Optimization by Mohan C. Joshi


Original Title: Optimization

Optimization: Theory and Practice is ideally suited for a first course on Optimization. It gives a detailed mathematical exposition to various optimization techniques. The presentation style retains abstract flavor of the mathematical framework as well as applicability potential of techniques, thereby making the text useful to both scientists and engineers. The topics covered are: Single and multi-dimensional optimization, Linear programming, Nonlinear constrained optimization and Evolutionary algorithms

Optimization Methods In Operations Research And Systems Analysis

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Author: K V Mital
Publisher: New Age International
ISBN: 9788122408737
Size: 75.28 MB
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Optimization Methods In Operations Research And Systems Analysis by K V Mital


Original Title: Optimization Methods In Operations Research And Systems Analysis

The Mathematical Aspects Of Operations Research And Systems Analysis Concerned With Optimization Of Objectives Form The Subject Of This Book. In Its Revised, Updated And Enlarged Third Edition, Discussion On Linear Programming Has Been Expanded And Recast With Greater Emphasis On Duality Theory, Sensitivity Analysis, Parametric Programming, Multiobjective And Goal Programming And Formulation And Solution Of Practical Problems. Chapters On Nonlinear Programming Include Integer Programming, Kuhn-Tucker Theory, Separable And Quadratic Programming, Dynamic Programming, Geometric Programming And Direct Search And Gradient Methods. A Chapter On Theory Of Games Is Also Included. A Short Note On Karmarkars Projective Algorithm Is Given In The Appendix.The Book Keeps In View The Needs Of The Student Taking A Regular Course In Operations Research Or Mathematical Programming, And Also Of Research Scholars In Other Disciplines Who Have A Limited Objective Of Learning The Practical Aspects Of Various Optimization Methods To Solve Their Special Problems. For The Former, Illustrative Solved Examples And Unsolved Examples At The End Of Each Chapter, Small Enough To Be Solved By Hand, Would Be Of Greater Interest, While For He Latter, Summaries Of Computational Algorithms For Various Methods Which Would Help Him To Write Computer Programmes To Solve Larger Problems Would Be More Helpful. A Few Computer Programmes In Fortran Iv Have Also Been Given In The Appendix.

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