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Deterministic Global Optimization: An Introduction to the Diagonal Approach (SpringerBriefs in Optimization) by Yaroslav D. D. Sergeyev, Dmitri E. Kvasov is a nonfiction available to read on EtoBox.

What is Deterministic Global Optimization: An Introduction to the Diagonal Approach (SpringerBriefs in Optimization) about?

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 esta

Who reads Deterministic Global Optimization: An Introduction to the Diagonal Approach (SpringerBriefs in Optimization)?

Author

Yaroslav D. D. Sergeyev, Dmitri E. Kvasov

Publisher

Springer New York : Imprint : Springer

Published

2017

Language

EN

ISBN

9781493971992

Category

nonfiction

Subjects

Mathematics, Science, Computer Science