The Basics Of Practical Optimization

Author : Adam B. Levy
Publisher : SIAM
Page : 179 pages
File Size : 54,8 Mb
Release : 2022-11-22
Category : Mathematics
ISBN : 9781611977370

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The Basics of Practical Optimization by Adam B. Levy Pdf

Optimization is presented in most multivariable calculus courses as an application of the gradient, and while this treatment makes sense for a calculus course, there is much more to the theory of optimization. Optimization problems are generated constantly, and the theory of optimization has grown and developed in response to the challenges presented by these problems. This textbook aims to show readers how optimization is done in practice and help them to develop an appreciation for the richness of the theory behind the practice. Exercises, problems (including modeling and computational problems), and implementations are incorporated throughout the text to help students learn by doing. Python notes are inserted strategically to help readers complete computational problems and implementations. The Basics of Practical Optimization, Second Edition is intended for undergraduates who have completed multivariable calculus, as well as anyone interested in optimization. The book is appropriate for a course that complements or replaces a standard linear programming course.

Author : Adam B. Levy
Publisher : SIAM
Page : 157 pages
File Size : 48,5 Mb
Release : 2009-06-25
Category : Mathematics
ISBN : 9780898716795

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The Basics of Practical Optimization by Adam B. Levy Pdf

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

Author : Philip E. Gill,Walter Murray,Margaret H. Wright
Publisher : SIAM
Page : 421 pages
File Size : 55,6 Mb
Release : 2019-12-16
Category : Mathematics
ISBN : 9781611975604

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Practical Optimization by Philip E. Gill,Walter Murray,Margaret H. Wright Pdf

In the intervening years since this book was published in 1981, the field of optimization has been exceptionally lively. This fertility has involved not only progress in theory, but also faster numerical algorithms and extensions into unexpected or previously unknown areas such as semidefinite programming. Despite these changes, many of the important principles and much of the intuition can be found in this Classics version of Practical Optimization. This book provides model algorithms and pseudocode, useful tools for users who prefer to write their own code as well as for those who want to understand externally provided code. It presents algorithms in a step-by-step format, revealing the overall structure of the underlying procedures and thereby allowing a high-level perspective on the fundamental differences. And it contains a wealth of techniques and strategies that are well suited for optimization in the twenty-first century, and particularly in the now-flourishing fields of data science, “big data,” and machine learning. Practical Optimization is appropriate for advanced undergraduates, graduate students, and researchers interested in methods for solving optimization problems.

Author : Andreas Antoniou,Wu-Sheng Lu
Publisher : Springer Science & Business Media
Page : 675 pages
File Size : 43,9 Mb
Release : 2007-03-12
Category : Computers
ISBN : 9780387711065

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Practical Optimization by Andreas Antoniou,Wu-Sheng Lu Pdf

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.

Author : Adam B. Levy
Publisher : SIAM
Page : 158 pages
File Size : 55,8 Mb
Release : 2009-01-01
Category : Mathematics
ISBN : 9780898717679

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The Basics of Practical Optimization by Adam B. Levy Pdf

This textbook provides undergraduate students with an introduction to optimization and its uses for relevant and realistic problems. The only prerequisite for readers is a basic understanding of multivariable calculus because additional materials, such as explanations of matrix tools, are provided in a series of Asides both throughout the text at relevant points and in a handy appendix.

Author : M. Asghar Bhatti
Publisher : Springer Science & Business Media
Page : 721 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461205012

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Practical Optimization Methods by M. Asghar Bhatti Pdf

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.

Author : Mircea Ancău
Publisher : Cambridge Scholars Publishing
Page : 291 pages
File Size : 50,5 Mb
Release : 2019-10-03
Category : Mathematics
ISBN : 9781527540989

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Practical Optimization with MATLAB by Mircea Ancău Pdf

This easy-to-follow guide provides academics and industrial engineers with a state-of-the-art numerical approach to the most frequent technical and economical optimization methods. In an engaging manner, it provides the reader with not only a systematic and comprehensive study, but also with necessary and directly implementable code written in the versatile and readily available platform Matlab. The book offers optimization methods for univariate and multivariate constrained or unconstrained functions, general optimization methods and multicriteria optimization methods; provides intuitively, step-by-step explained sample Matlab code, that can be easily adjusted to meet individual requirements; and uses a clear, concise presentation style, which will be suited to readers even without a programming background, as well as to students preparing for examinations in optimization methods.

Author : Jan Snyman
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 42,8 Mb
Release : 2005-12-15
Category : Mathematics
ISBN : 9780387243498

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Practical Mathematical Optimization by Jan Snyman Pdf

This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Author : Jan A Snyman,Daniel N Wilke
Publisher : Springer
Page : 372 pages
File Size : 42,7 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9783319775869

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Practical Mathematical Optimization by Jan A Snyman,Daniel N Wilke Pdf

This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.

Author : R. Fletcher
Publisher : John Wiley & Sons
Page : 470 pages
File Size : 55,6 Mb
Release : 2013-06-06
Category : Mathematics
ISBN : 9781118723180

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Practical Methods of Optimization by R. Fletcher Pdf

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.

Author : Ernesto G. Birgin,JosŸ Mario Martinez
Publisher : SIAM
Page : 222 pages
File Size : 54,7 Mb
Release : 2014-04-30
Category : Mathematics
ISBN : 9781611973358

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Practical Augmented Lagrangian Methods for Constrained Optimization by Ernesto G. Birgin,JosŸ Mario Martinez Pdf

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.

Author : Philip E. Gill
Publisher : Unknown
Page : 401 pages
File Size : 55,6 Mb
Release : 1981
Category : Electronic
ISBN : OCLC:440817664

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Practical Optimization by Philip E. Gill Pdf

Author : Joseph-Frédéric Bonnans,Jean Charles Gilbert,Claude Lemarechal,Claudia A. Sagastizábal
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 53,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662050781

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Numerical Optimization by Joseph-Frédéric Bonnans,Jean Charles Gilbert,Claude Lemarechal,Claudia A. Sagastizábal Pdf

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.

Author : Marcos Singer
Publisher : Routledge
Page : 400 pages
File Size : 52,7 Mb
Release : 2019-03-28
Category : Business & Economics
ISBN : 9781351032124

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Linear Optimization for Business by Marcos Singer Pdf

This book takes a unique approach to linear optimization by focusing on the underlying principles and business applications of a topic more often taught from a mathematical and computational perspective. By shifting the perspective away from heavy math, students learn how optimization can be used to drive decision making in real world business settings. The book does not shy away from the theory underlying linear optimization but rather focuses on ensuring students understand the logic without getting caught up in proving theorems. Plenty of examples, applications and case studies are included to help bridge the gap between the theory and the way it plays out in practice. The author has also included several Excel spreadsheets, showing worked-out models of linear optimization that have been used to drive decisions ranging from configuring a police force to purchasing crude oil and media planning. How can the routes and pricing structures of airlines be optimized? How much should be invested in the prevention and punishment of crimes? These are everyday problems that can be solved using linear optimization, and this book shows students just how to do that. It will prove a useful, math-free resource for all students of management science and operations research.

Author : Mark French
Publisher : Springer
Page : 249 pages
File Size : 49,7 Mb
Release : 2018-05-02
Category : Technology & Engineering
ISBN : 9783319761923

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Fundamentals of Optimization by Mark French Pdf

This textbook is for readers new or returning to the practice of optimization whose interest in the subject may relate to a wide range of products and processes. Rooted in the idea of “minimum principles,” the book introduces the reader to the analytical tools needed to apply optimization practices to an array of single- and multi-variable problems. While comprehensive and rigorous, the treatment requires no more than a basic understanding of technical math and how to display mathematical results visually. It presents a group of simple, robust methods and illustrates their use in clearly-defined examples. Distinct from the majority of optimization books on the market intended for a mathematically sophisticated audience who might want to develop their own new methods of optimization or do research in the field, this volume fills the void in instructional material for those who need to understand the basic ideas. The text emerged from a set of applications-driven lecture notes used in optimization courses the author has taught for over 25 years. The book is class-tested and refined based on student feedback, devoid of unnecessary abstraction, and ideal for students and practitioners from across the spectrum of engineering disciplines. It provides context through practical examples and sections describing commercial application of optimization ideas, such as how containerized freight and changing sea routes have been used to continually reduce the cost of moving freight across oceans. It also features 2D and 3D plots and an appendix illustrating the most widely used MATLAB optimization functions.