The Basics of Practical Optimization

The Basics of Practical Optimization
Author: Adam B. Levy
Publisher: SIAM
Total Pages: 157
Release: 2009-06-25
Genre: Mathematics
ISBN: 0898716799

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

Practical Optimization

Practical Optimization
Author: Philip E. Gill
Publisher: SIAM
Total Pages: 421
Release: 2019-12-16
Genre: Mathematics
ISBN: 1611975603

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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.

The Basics of Practical Optimization

The Basics of Practical Optimization
Author: Adam B. Levy
Publisher: SIAM
Total Pages: 179
Release: 2022-11-22
Genre: Mathematics
ISBN: 1611977371

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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.

The Basics of Practical Optimization

The Basics of Practical Optimization
Author: Adam B. Levy
Publisher: SIAM
Total Pages: 158
Release: 2009-01-01
Genre: Mathematics
ISBN: 0898717671

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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.

Practical Optimization

Practical Optimization
Author: Andreas Antoniou
Publisher: Springer Science & Business Media
Total Pages: 675
Release: 2007-03-12
Genre: Computers
ISBN: 0387711066

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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.

Practical Mathematical Optimization

Practical Mathematical Optimization
Author: Jan A Snyman
Publisher: Springer
Total Pages: 388
Release: 2018-05-02
Genre: Mathematics
ISBN: 3319775863

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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.

Practical Methods of Optimization

Practical Methods of Optimization
Author: R. Fletcher
Publisher: John Wiley & Sons
Total Pages: 470
Release: 2013-06-06
Genre: Mathematics
ISBN: 111872318X

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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 with MATLAB

Practical Optimization with MATLAB
Author: Mircea Ancău
Publisher: Cambridge Scholars Publishing
Total Pages: 291
Release: 2019-10-03
Genre: Mathematics
ISBN: 1527540987

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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.

Practical Mathematical Optimization

Practical Mathematical Optimization
Author: Jan Snyman
Publisher: Springer Science & Business Media
Total Pages: 271
Release: 2005-12-15
Genre: Mathematics
ISBN: 0387243496

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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.