Mathematical Theory Of Optimization
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Author | : Ding-Zhu Du |
Publisher | : Springer Science & Business Media |
Total Pages | : 277 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 1475757956 |
Download Mathematical Theory of Optimization Book in PDF, Epub and Kindle
This book provides an introduction to the mathematical theory of optimization. It emphasizes the convergence theory of nonlinear optimization algorithms and applications of nonlinear optimization to combinatorial optimization. Mathematical Theory of Optimization includes recent developments in global convergence, the Powell conjecture, semidefinite programming, and relaxation techniques for designs of approximation solutions of combinatorial optimization problems.
Author | : Jan A Snyman |
Publisher | : Springer |
Total Pages | : 372 |
Release | : 2018-05-02 |
Genre | : Mathematics |
ISBN | : 3319775863 |
Download Practical Mathematical Optimization Book in PDF, Epub and Kindle
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 Snyman |
Publisher | : Springer Science & Business Media |
Total Pages | : 271 |
Release | : 2005-12-15 |
Genre | : Mathematics |
ISBN | : 0387243496 |
Download Practical Mathematical Optimization Book in PDF, Epub and Kindle
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 | : Steven J. Miller |
Publisher | : American Mathematical Soc. |
Total Pages | : 327 |
Release | : 2017-12-20 |
Genre | : Management science |
ISBN | : 1470441144 |
Download Mathematics of Optimization: How to do Things Faster Book in PDF, Epub and Kindle
Optimization Theory is an active area of research with numerous applications; many of the books are designed for engineering classes, and thus have an emphasis on problems from such fields. Covering much of the same material, there is less emphasis on coding and detailed applications as the intended audience is more mathematical. There are still several important problems discussed (especially scheduling problems), but there is more emphasis on theory and less on the nuts and bolts of coding. A constant theme of the text is the “why” and the “how” in the subject. Why are we able to do a calculation efficiently? How should we look at a problem? Extensive effort is made to motivate the mathematics and isolate how one can apply ideas/perspectives to a variety of problems. As many of the key algorithms in the subject require too much time or detail to analyze in a first course (such as the run-time of the Simplex Algorithm), there are numerous comparisons to simpler algorithms which students have either seen or can quickly learn (such as the Euclidean algorithm) to motivate the type of results on run-time savings.
Author | : Michael D. Intriligator |
Publisher | : SIAM |
Total Pages | : 515 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 0898715113 |
Download Mathematical Optimization and Economic Theory Book in PDF, Epub and Kindle
A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.
Author | : Hubertus Th. Jongen |
Publisher | : Springer Science & Business Media |
Total Pages | : 436 |
Release | : 2007-05-08 |
Genre | : Mathematics |
ISBN | : 1402080999 |
Download Optimization Theory Book in PDF, Epub and Kindle
This volume provides a comprehensive introduction to the theory of (deterministic) optimization. It covers both continuous and discrete optimization. This allows readers to study problems under different points-of-view, which supports a better understanding of the entire field. Many exercises are included to increase the reader's understanding.
Author | : Giorgio Giorgi |
Publisher | : Elsevier |
Total Pages | : 614 |
Release | : 2004-03-10 |
Genre | : Mathematics |
ISBN | : 008053595X |
Download Mathematics of Optimization: Smooth and Nonsmooth Case Book in PDF, Epub and Kindle
The book is intended for people (graduates, researchers, but also undergraduates with a good mathematical background) involved in the study of (static) optimization problems (in finite-dimensional spaces). It contains a lot of material, from basic tools of convex analysis to optimality conditions for smooth optimization problems, for non smooth optimization problems and for vector optimization problems. The development of the subjects are self-contained and the bibliographical references are usually treated in different books (only a few books on optimization theory deal also with vector problems), so the book can be a starting point for further readings in a more specialized literature. Assuming only a good (even if not advanced) knowledge of mathematical analysis and linear algebra, this book presents various aspects of the mathematical theory in optimization problems. The treatment is performed in finite-dimensional spaces and with no regard to algorithmic questions. After two chapters concerning, respectively, introductory subjects and basic tools and concepts of convex analysis, the book treats extensively mathematical programming problems in the smmoth case, in the nonsmooth case and finally vector optimization problems. · Self-contained · Clear style and results are either proved or stated precisely with adequate references · The authors have several years experience in this field · Several subjects (some of them non usual in books of this kind) in one single book, including nonsmooth optimization and vector optimization problems · Useful long references list at the end of each chapter
Author | : Wilhelm Forst |
Publisher | : Springer Science & Business Media |
Total Pages | : 420 |
Release | : 2010-07-26 |
Genre | : Mathematics |
ISBN | : 0387789766 |
Download Optimization—Theory and Practice Book in PDF, Epub and Kindle
Optimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering. Constrained optimization models are one of the most widely used mathematical models in operations research and management science. This book gives a modern and well-balanced presentation of the subject, focusing on theory but also including algorithims and examples from various real-world applications. Detailed examples and counter-examples are provided--as are exercises, solutions and helpful hints, and Matlab/Maple supplements.
Author | : Jonathan Borwein |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2010-05-05 |
Genre | : Mathematics |
ISBN | : 0387312560 |
Download Convex Analysis and Nonlinear Optimization Book in PDF, Epub and Kindle
Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.
Author | : Panos Pardalos |
Publisher | : Springer Nature |
Total Pages | : 510 |
Release | : 2021-06-14 |
Genre | : Computers |
ISBN | : 3030778762 |
Download Mathematical Optimization Theory and Operations Research Book in PDF, Epub and Kindle
This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. The papers are grouped in the following topical sections: combinatorial optimization; mathematical programming; bilevel optimization; scheduling problems; game theory and optimal control; operational research and mathematical economics; data analysis.