Practical Methods of Optimization

Author: R. Fletcher

Publisher: John Wiley & Sons

ISBN: 111872318X

Category: Mathematics

Page: 456

View: 7243

Fully describes optimization methods that are currently most valuable in solving real-life problems. Since optimization has applications in almost every branch of science and technology, the text emphasizes their practical aspects in conjunction with the heuristics useful in making them perform more reliably and efficiently. To this end, it presents comparative numerical studies to give readers a feel for possibile applications and to illustrate the problems in assessing evidence. Also provides theoretical background which provides insights into how methods are derived. This edition offers revised coverage of basic theory and standard techniques, with updated discussions of line search methods, Newton and quasi-Newton methods, and conjugate direction methods, as well as a comprehensive treatment of restricted step or trust region methods not commonly found in the literature. Also includes recent developments in hybrid methods for nonlinear least squares; an extended discussion of linear programming, with new methods for stable updating of LU factors; and a completely new section on network programming. Chapters include computer subroutines, worked examples, and study questions.

Practical Optimization

Algorithms and Engineering Applications

Author: Andreas Antoniou,Wu-Sheng Lu

Publisher: Springer Science & Business Media

ISBN: 0387711066

Category: Computers

Page: 670

View: 6504

Practical Optimization: Algorithms and Engineering Applications is a hands-on treatment of the subject of optimization. A comprehensive set of problems and exercises makes the book suitable for use in one or two semesters of a first-year graduate course or an advanced undergraduate course. Each half of the book contains a full semester’s worth of complementary yet stand-alone material. The practical orientation of the topics chosen and a wealth of useful examples also make the book suitable for practitioners in the field.

Optimization Methods in Operations Research and Systems Analysis

Author: K V Mital

Publisher: New Age International

ISBN: 9788122408737

Category: Linear programming

Page: 385

View: 481

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.

Optionsbewertung und Portfolio-Optimierung

Moderne Methoden der Finanzmathematik

Author: Ralf Korn,Elke Korn

Publisher: Springer-Verlag

ISBN: 3322832104

Category: Business & Economics

Page: 294

View: 8520

Es werden die typischen Aufgabenstellungen der zeitstetigen Modellierung von Finanzmärkten wie Optionsbewertung (insbesondere auch die Black-Scholes-Formel und zugehörige Varianten) und Portfolio-Optimierung (Bestimmen optimaler Investmentstrategien) behandelt. Die benötigten mathematischen Werkzeuge (wie z. B. Brownsche Bewegung, Martingaltheorie, Ito-Kalkül, stochastische Steuerung) werden in selbständigen Exkursen bereitgestellt. Das Buch eignet sich als Grundlage einer Vorlesung, die sich an einen Grundkurs in Stochastik anschließt. Es richtet sich an Mathematiker, Finanz- und Wirtschaftsmathematiker in Studium und Beruf und ist aufgrund seiner modularen Struktur auch für Praktiker in den Bereichen Banken und Versicherungen geeignet.

Practical Augmented Lagrangian Methods for Constrained Optimization

Author: Ernesto G. Birgin,Josâ Mario Martinez

Publisher: SIAM

ISBN: 161197335X

Category: Mathematics

Page: 220

View: 9233

This book focuses on Augmented Lagrangian techniques for solving practical constrained optimization problems. The authors rigorously delineate mathematical convergence theory based on sequential optimality conditions and novel constraint qualifications. They also orient the book to practitioners by giving priority to results that provide insight on the practical behavior of algorithms and by providing geometrical and algorithmic interpretations of every mathematical result, and they fully describe a freely available computational package for constrained optimization and illustrate its usefulness with applications.

Numerical Optimization

Author: Jorge Nocedal,Stephen Wright

Publisher: Springer Science & Business Media

ISBN: 0387400656

Category: Mathematics

Page: 664

View: 353

Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Numerical Optimization

Theoretical and Practical Aspects

Author: Joseph-Frédéric Bonnans,Jean Charles Gilbert,Claude Lemarechal,Claudia A. Sagastizábal

Publisher: Springer Science & Business Media

ISBN: 3662050781

Category: Mathematics

Page: 423

View: 447

This book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems. This new edition contains computational exercises in the form of case studies which help understanding optimization methods beyond their theoretical description when coming to actual implementation.

The Basics of Practical Optimization

Author: Adam B. Levy

Publisher: SIAM

ISBN: 0898716799

Category: Mathematics

Page: 149

View: 5110

Introduces undergraduate students to optimization and its applications using relevant and realistic problems.

Practical Optimization

Algorithms and Engineering Applications

Author: Udo Voges

Publisher: Springer

ISBN: N.A

Category: Computers

Page: 211

View: 1028

Here is a hands-on treatment of the subject of optimization, recommended for use by industry professionals, scientists, and students interested in optimization algorithms and their various applications. It provides a complete teaching package with MATLAB exercises and online solutions to end-of-chapter problems.

Computational Mechanics

Proceedings of the Sixth World Congress on Computational Mechanics in Conjunction with the Second Asian-Pacific Congress on Computational Mechanics, September 5-10, 2004, Beijing, China

Author: Zhenhan Yao

Publisher: 清华大学出版社有限公司

ISBN: 9787302093435

Category: Computer-aided design

Page: 817

View: 8761

Fundamentals of Adaptive Signal Processing

Author: Aurelio Uncini

Publisher: Springer

ISBN: 3319028073

Category: Technology & Engineering

Page: 704

View: 2035

This book is an accessible guide to adaptive signal processing methods that equips the reader with advanced theoretical and practical tools for the study and development of circuit structures and provides robust algorithms relevant to a wide variety of application scenarios. Examples include multimodal and multimedia communications, the biological and biomedical fields, economic models, environmental sciences, acoustics, telecommunications, remote sensing, monitoring and in general, the modeling and prediction of complex physical phenomena. The reader will learn not only how to design and implement the algorithms but also how to evaluate their performance for specific applications utilizing the tools provided. While using a simple mathematical language, the employed approach is very rigorous. The text will be of value both for research purposes and for courses of study.

Applications of Nonlinear Programming to Optimization and Control

Proceedings of the 4th IFAC Workshop, San Francisco, USA, 20-21 June 1983

Author: H. E. Rauch

Publisher: Elsevier

ISBN: 1483148394

Category: Mathematics

Page: 156

View: 1470

Applications of Nonlinear Programming to Optimization and Control is a collection of papers presented at the Fourth International Federation of Automatic Control Workshop by the same title, held in San Francisco, California on June 20-21, 1983. This workshop aims to exchange information on the applications of optimization and nonlinear programming techniques to real-life control problems, to investigate ideas that arise from these exchanges, and to look for advances in nonlinear programming that are useful in solving control problems. This book is divided into 16 chapters. It covers a wide range of related topics, starting with computer-aided-design of practical control systems, continuing through advanced work on quasi-Newton methods and gradient restoration algorithms. Other chapters provide specific examples, which apply these methods to representative problems. The remaining chapters present examples, including trajectory optimization, optimal design of a structure for a satellite, identification of hovercraft characteristics, determination of optimal electricity generation, and optimal automatic transmission for road vehicles. This book is of value to computer scientists and mathematicians.

Theorie und Numerik restringierter Optimierungsaufgaben

Author: Carl Geiger,Christian Kanzow

Publisher: Springer-Verlag

ISBN: 3642560040

Category: Mathematics

Page: 487

View: 4098

Aufbauend auf Vorlesungen an den Universitäten Hamburg und Trier stellen die Autoren die „Theorie und Numerik restringierter Optimierungsaufgaben" umfassend dar. Ausführlich behandelt werden lineare Programme, Simplex-Verfahren und Innere-Punkte-Methoden, Optimalitätsbedingungen, nichtlineare restringierte Programme, nichtglatte Optimierung sowie Variationsungleichungen. Mit ca. 140 Aufgaben unterschiedlichen Schwierigkeitsgrades.

Practical Optimization Methods

With Mathematica® Applications

Author: M. Asghar Bhatti

Publisher: Springer Science & Business Media

ISBN: 1461205018

Category: Mathematics

Page: 715

View: 6780

This introductory textbook adopts a practical and intuitive approach, rather than emphasizing mathematical rigor. Computationally oriented books in this area generally present algorithms alone, and expect readers to perform computations by hand, and are often written in traditional computer languages, such as Basic, Fortran or Pascal. This book, on the other hand, is the first text to use Mathematica to develop a thorough understanding of optimization algorithms, fully exploiting Mathematica's symbolic, numerical and graphic capabilities.

Numerische Verfahren zur Lösung unrestringierter Optimierungsaufgaben

Author: Carl Geiger,Christian Kanzow

Publisher: Springer-Verlag

ISBN: 3642585825

Category: Mathematics

Page: 350

View: 8222

Umfassende, aktuelle und deutlich über die existierende Literatur hinausgehende Darstellung des Themenbereichs "Numerische Lösung unrestringierter Optimierungsaufgaben mit differenzierbarer Zielfunktion". Alle Verfahren sind ausführlich motiviert und mit einer vollständigen Konvergenzanalyse versehen. Mit Grundlagen und Testbeispielen im Anhang. Plus: 150 ausgewählte Aufgaben, Tabellen mit numerischen Resultaten zu allen konkreten Algorithmen.