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Descripción

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.

Reseña

"The authors of this brief book consider global optimization problems, in which the Lipschitz continuity condition is satisfied. ... This book will be for sure interesting for the researchers and PhD students working in the area of global optimization." (Marcin Anholcer, zbMATH 1371.90112, 2017)

Contribuyente

Autor Dmitri E. Kvasov

Autor Yaroslav D. Sergeyev

Información

DUIN 16UGJLJ3OCE

GTIN 9781493971978

Fecha de aparición 18.06.2017

Idioma Inglés

Número de páginas 136

Product type Libro de bolsillo

Dimensión 235 x 155 x 155  mm

Peso del producto 238 g

Deterministic Global Optimization

An Introduction to the Diagonal Approach

Yaroslav D. Sergeyev

51,96 €

Vendedor: Dodax EU

Fecha de entrega: entre martes, 3. noviembre y jueves, 5. noviembre

Condición: Nuevo

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