# Search Results for "principles-of-optimization-theory"

## Principles of Optimization Theory

**Author**: C. R. Bector,Suresh Chandra,Jayasri Dutta**Publisher:**Alpha Science International, Limited**ISBN:**N.A**Category:**Mathematics**Page:**224**View:**567

An account of the fundamental principles of optimization theory blended in a judicious way with current research. It helps the reader to probe into such advanced topics like Non-smooth Optimization and Conjugate Duality.

## Optimization Theory with Applications

**Author**: Donald A. Pierre**Publisher:**Courier Corporation**ISBN:**0486136957**Category:**Mathematics**Page:**640**View:**3192

Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

## Algorithmic Principles of Mathematical Programming

**Author**: Ulrich Faigle,W. Kern,G. Still**Publisher:**Springer Science & Business Media**ISBN:**9401598967**Category:**Mathematics**Page:**339**View:**8954

Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature.

## Optimization of Tax Sovereignty and Free Movement

**Author**: Sjoerd Douma**Publisher:**IBFD**ISBN:**9087221126**Category:**Direct taxation**Page:**340**View:**9443

The book argues that the notions of tax sovereignty and EU free movement should be regarded as two fundamentally equal principles. The conflict between these two principles is resolved by establishing, in individual cases, the optimum position between two extremes: a general unrestricted freedom of action by states versus a prohibition of any obstacle to the free movement of goods, persons, services and capital. The process of reconciliation of these competing principles is structured by the theoretical optimization model developed in the present study. This model is external to the present case law. The application of the theoretical optimization model to the ECJ’s case law in the area of direct taxation reveals that this case law is largely in line with the model. It is certainly not as internally inconsistent as claimed in some of the tax literature. Many jigsaw pieces seem to fit after all if the case law is assessed in the light of the model. A number of future developments could be expected on the basis of the model and extensive case law analysis. The most important of these is that, in some cases, truly non-discriminatory tax measures should give rise to a prima facie restriction on free movement.

## A First Course in Optimization Theory

**Author**: Rangarajan K. Sundaram**Publisher:**Cambridge University Press**ISBN:**9780521497701**Category:**Business & Economics**Page:**357**View:**9610

Divided into three separate parts, this book introduces students to optimization theory and its use in economics and allied disciplines. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.

## Handbook of Life-Span Development

**Author**: Karen L. Fingerman**Publisher:**Springer Publishing Company**ISBN:**0826110797**Category:**Medical**Page:**905**View:**9468

Print+CourseSmart

## Principles of Optimal Design

*Modeling and Computation*

**Author**: Panos Y. Papalambros,Douglass J. Wilde**Publisher:**Cambridge University Press**ISBN:**9780521627276**Category:**Mathematics**Page:**390**View:**6634

Thorough, practical coverage of latest development in optimization theory and practice.

## Classical Control Using H-Infinity Methods

*Theory, Optimization, and Design*

**Author**: J. William Helton,Orlando Merino**Publisher:**SIAM**ISBN:**9781611971361**Category:**H [infinity symbol] control**Page:**292**View:**2529

This versatile book teaches control system design using Hînfty techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. The development of Hînfty engineering was one of the main accomplishments of control in the 1980s. However, until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using Hînfty techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections. The authors treat control design problems in a physically correct way. They present a small set of specific rules that the reader can apply to convert a particular design problem to the fundamental optimization problem of Hînfty control. This precisely formulated mathematics problem can then be solved on a computer. The book introduces the control software package OPTDesign, which allows the reader to easily reproduce the calculations done in the solved examples and even try variations on them. The description of how to convert an engineering problem to a form suitable for CAD is simpler than in other books.

## Optimization

*A Theory of Necessary Conditions*

**Author**: Lucien W. Neustadt**Publisher:**Princeton University Press**ISBN:**1400870534**Category:**Technology & Engineering**Page:**440**View:**3936

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.

## Doubting Darwin?

*Creationist Designs on Evolution*

**Author**: Sahotra Sakar**Publisher:**John Wiley & Sons**ISBN:**1405181508**Category:**Philosophy**Page:**232**View:**8659

Noted biologist and philosopher Sahotra Sarkar exposes the frauds and fallacies of Intelligent Design Theory, and its claim to be ‘good science’. A scientific and philosophical exploration of the debate between evolutionary theory and Intelligent Design in the classroom Puts the debate into its scientific and historical context Looks at a variety of topics, including the relation between Darwinism and modern evolutionary theory, the use of computer science and information theory by the creationists, and the idea of metaphysical naturalism Rejects Intelligent Design’s claim to legitimacy, showing clearly how and why it is an unsuitable alternative to evolutionary biology in the classroom A thought-provoking book for those seeking to understand an intellectual debate that is shaping our education policies Forms part of the provocative and timely Blackwell Public Philosophy series

## Process Integration

**Author**: Mahmoud M. El-Halwagi**Publisher:**Elsevier**ISBN:**9780080454290**Category:**Computers**Page:**414**View:**5463

With growing global competition, the process industries must spare no effort in insuring continuous process improvement in terms of Increasing profitability; Conservation of resources and Prevention of pollution. The question is how can engineers achieve these goals for a given process with numerous units and streams? Until recently conventional approaches to process design and operation put emphasis only on individual units and parts of the process. A more powerful integrated approach was lacking. The new field of Process Integration looks towards the processing plant as a whole in its attempt to find solutions and improvements. Research over the past two decades has resulted in many techniques that allow engineers to better understand complex facilities and significantly enhance their performance. This textbook presents a comprehensive and authoritative treatment of the concepts, tools and applications of Process Integration. Emphasis is given to systematic ways of analyzing process performance. Graphical, algebraic and mathematical procedures are presented in detail. In addition to covering the fundamentals of the subject, the book also includes numerous case studies and examples that illustrate how Process Integration is solving actual industrial problems. Systematic methodology for analyzing the process as an integrated system, identifying global insights of the process, and generating optimum strategies and solutions Proper mix of fundamental principles, insightful tools, and industrial applications Generic techniques that are applicable to a wide variety of processing facilities Packed with case studies, practical tools, charts, tables, and performance criteria Extensive bibliography to provide ready access to process integration literature Excellent review of state-of-the-art technology, development trends, and future research directions

## Catastrophe Theoretic Semantics

*An elaboration and application of René Thom's theory*

**Author**: Wolfgang Wildgen**Publisher:**John Benjamins Publishing**ISBN:**9027280606**Category:**Language Arts & Disciplines**Page:**124**View:**3894

René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom’s intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.

## A Theory of Constitutional Rights

**Author**: Robert Alexy,Julian Rivers**Publisher:**Oxford University Press, USA**ISBN:**0199584230**Category:**Law**Page:**462**View:**7818

This classic work of constitutional theory analyzes the general structure of constitutional rights and their judicial application. It deals with a wide range of problems common to all systems of constitutional rights review - from balancing rights to deciding the limits of their scope.

## Theory of Legal Principles

**Author**: Humberto Avila**Publisher:**Springer Science & Business Media**ISBN:**1402058799**Category:**Law**Page:**154**View:**9318

This book examines the distinction between principles and rules so that they can be better understood and applied. It structures the distinction between principles and rules on different foundations than those jurisprudence ordinarily employs. It also proposes a new model to explain the normative species, which includes structured weighing on the application process while encompassing substantive criteria of justice in its argument.

## Inujjuamiunt Foraging Strategies

*Evolutionary Ecology of an Arctic Hunting Economy*

**Author**: Eric Alden Smith**Publisher:**Transaction Publishers**ISBN:**9780202366951**Category:**Social Science**Page:**455**View:**6420

This study of the hunters of the settlement of Inukjuak (Inujjuaq) in Ungava, northern Quebec, evaluates the utility of models drawn from evolutionary ecology, including optimal foraging theory, in analyzing the subsistence economy of a contemporary (Inuit) hunting-gathering people, and places the Inujjuamiut society in a general anthropological context.

## Cognitive Modeling

**Author**: Thad A. Polk,Colleen M. Seifert**Publisher:**MIT Press**ISBN:**9780262661164**Category:**Computers**Page:**1270**View:**3292

A comprehensive introduction to the computational modeling of human cognition.

## Proceedings of the Tenth International Symposium on Applied Electromagnetic and Mechanics

**Author**: T. Takagi**Publisher:**IOS Press**ISBN:**9781586033293**Category:**Science**Page:**450**View:**7862

This publication covers topics in the area of applied electromagnetics and mechanics. Since starting in Japan in 1988, the ISEM has become a well-known international forum on applied electromagnetics.

## Principles of Mathematics in Operations Research

**Author**: Levent Kandiller**Publisher:**Springer Science & Business Media**ISBN:**0387377352**Category:**Mathematics**Page:**298**View:**7285

This book is a comprehensive survey of the mathematical concepts and principles of industrial mathematics. Its purpose is to provide students and professionals with an understanding of the fundamental mathematical principles used in Industrial Mathematics/OR in modeling problems and application solutions. All the concepts presented in each chapter have undergone the learning scrutiny of the author and his students. The illustrative material throughout the book was refined for student comprehension as the manuscript developed through its iterations, and the chapter exercises are refined from the previous year's exercises.

## Principles of Optimal Control Theory

**Author**: R. Gamkrelidze**Publisher:**Springer Science & Business Media**ISBN:**1468473980**Category:**Juvenile Nonfiction**Page:**175**View:**7966

In the late 1950's, the group of Soviet mathematicians consisting of L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko made fundamental contributions to optimal control theory. Much of their work was collected in their monograph, The Mathematical Theory of Optimal Processes. Subsequently, Professor Gamkrelidze made further important contributions to the theory of necessary conditions for problems of optimal control and general optimization problems. In the present monograph, Professor Gamkrelidze presents his current view of the fundamentals of optimal control theory. It is intended for use in a one-semester graduate course or advanced undergraduate course. We are now making these ideas available in English to all those interested in optimal control theory. West Lafayette, Indiana, USA Leonard D. Berkovitz Translation Editor Vll Preface This book is based on lectures I gave at the Tbilisi State University during the fall of 1974. It contains, in essence, the principles of general control theory and proofs of the maximum principle and basic existence theorems of optimal control theory. Although the proofs of the basic theorems presented here are far from being the shortest, I think they are fully justified from the conceptual view point. In any case, the notions we introduce and the methods developed have one unquestionable advantage -they are constantly used throughout control theory, and not only for the proofs of the theorems presented in this book.

## Engineering Optimization

*Theory and Practice*

**Author**: Singiresu S. Rao,S. S. Rao**Publisher:**John Wiley & Sons**ISBN:**0470183527**Category:**Mathematics**Page:**813**View:**7880

Technology/Engineering/Mechanical Helps you move from theory to optimizing engineering systems in almost any industry Now in its Fourth Edition, Professor Singiresu Rao's acclaimed text Engineering Optimization enables readers to quickly master and apply all the important optimization methods in use today across a broad range of industries. Covering both the latest and classical optimization methods, the text starts off with the basics and then progressively builds to advanced principles and applications. This comprehensive text covers nonlinear, linear, geometric, dynamic, and stochastic programming techniques as well as more specialized methods such as multiobjective, genetic algorithms, simulated annealing, neural networks, particle swarm optimization, ant colony optimization, and fuzzy optimization. Each method is presented in clear, straightforward language, making even the more sophisticated techniques easy to grasp. Moreover, the author provides: Case examples that show how each method is applied to solve real-world problems across a variety of industries Review questions and problems at the end of each chapter to engage readers in applying their newfound skills and knowledge Examples that demonstrate the use of MATLAB® for the solution of different types of practical optimization problems References and bibliography at the end of each chapter for exploring topics in greater depth Answers to Review Questions available on the author's Web site to help readers to test their understanding of the basic concepts With its emphasis on problem-solving and applications, Engineering Optimization is ideal for upper-level undergraduates and graduate students in mechanical, civil, electrical, chemical, and aerospace engineering. In addition, the text helps practicing engineers in almost any industry design improved, more efficient systems at less cost.