Deterministic Global Optimization

An Introduction to the Diagonal Approach

Nonfiction, Science & Nature, Mathematics, Applied, Computers, General Computing, Programming
Cover of the book Deterministic Global Optimization by Yaroslav D. Sergeyev, Dmitri E. Kvasov, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yaroslav D. Sergeyev, Dmitri E. Kvasov ISBN: 9781493971992
Publisher: Springer New York Publication: June 16, 2017
Imprint: Springer Language: English
Author: Yaroslav D. Sergeyev, Dmitri E. Kvasov
ISBN: 9781493971992
Publisher: Springer New York
Publication: June 16, 2017
Imprint: Springer
Language: English

This book begins with a concentrated introduction into deterministic global optimization and moves forward to present new original results from the authors who are well known experts in the field. Multiextremal continuous problems that have an unknown structure with Lipschitz objective functions and functions having the first Lipschitz derivatives defined over hyperintervals are examined. A class of algorithms using several Lipschitz constants is introduced which has its origins in the DIRECT (DIviding RECTangles) method. This new class is based on an efficient strategy that is applied for the search domain partitioning. In addition a survey on derivative free methods and methods using the first derivatives is given for both one-dimensional and multi-dimensional cases. Non-smooth and smooth minorants and acceleration techniques that can speed up several classes of global optimization methods with examples of applications and problems arising in numerical testing of global optimization algorithms are discussed. Theoretical considerations are illustrated through engineering applications. Extensive numerical testing of algorithms described in this book stretches the likelihood of establishing a link between mathematicians and practitioners. The authors conclude by describing applications and a generator of random classes of test functions with known local and global minima that is used in more than 40 countries of the world. This title serves as a starting point for students, researchers, engineers, and other professionals in operations research, management science, computer science, engineering, economics, environmental sciences, industrial and applied mathematics to obtain an overview of deterministic global optimization.   

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book begins with a concentrated introduction into deterministic global optimization and moves forward to present new original results from the authors who are well known experts in the field. Multiextremal continuous problems that have an unknown structure with Lipschitz objective functions and functions having the first Lipschitz derivatives defined over hyperintervals are examined. A class of algorithms using several Lipschitz constants is introduced which has its origins in the DIRECT (DIviding RECTangles) method. This new class is based on an efficient strategy that is applied for the search domain partitioning. In addition a survey on derivative free methods and methods using the first derivatives is given for both one-dimensional and multi-dimensional cases. Non-smooth and smooth minorants and acceleration techniques that can speed up several classes of global optimization methods with examples of applications and problems arising in numerical testing of global optimization algorithms are discussed. Theoretical considerations are illustrated through engineering applications. Extensive numerical testing of algorithms described in this book stretches the likelihood of establishing a link between mathematicians and practitioners. The authors conclude by describing applications and a generator of random classes of test functions with known local and global minima that is used in more than 40 countries of the world. This title serves as a starting point for students, researchers, engineers, and other professionals in operations research, management science, computer science, engineering, economics, environmental sciences, industrial and applied mathematics to obtain an overview of deterministic global optimization.   

More books from Springer New York

Cover of the book Molecular Engineering of Nanosystems by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Age-related Macular Degeneration Diagnosis and Treatment by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Disability and Aging Discrimination by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Muscle Gene Therapy by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book One-dot Theory Described, Explained, Inferred, Justified, and Applied by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Unifying Electrical Engineering and Electronics Engineering by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Biodiversity by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book The Welfare State in Post-Industrial Society by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Solar System Astrophysics by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Smoothing Spline ANOVA Models by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Sensors by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Astronomy and the Climate Crisis by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book On Location by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Environmental Factors, Genes, and the Development of Human Cancers by Yaroslav D. Sergeyev, Dmitri E. Kvasov
Cover of the book Continuum Mechanics of Anisotropic Materials by Yaroslav D. Sergeyev, Dmitri E. Kvasov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy