Introduction to Global Optimization: 48 - Brossura

Horst, R.

 
9780792367567: Introduction to Global Optimization: 48

Sinossi

Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. Global optimization problems are widespread in the mathematical modelling of real world systems for a very broad range of applications. Since the 19070s many new theoretical, algorithmic and computational contributions have helped to solve globally multi-extreme problems arising from important practical applications. This comprehensive textbook covers the fundamentals in global optimization. The second edition includes algorithms, applications, and complexity results for quadratic programming, concave minimization, DC and Lipshitz problems, decomposition algorithms for nonconvex optimization, and nonlinear network flow problems. Each chapter contains illustrative examples and ends with carefully selected exercises, which are designed to help the student to get a grasp of the material and enhance their knowledge of global optimization methods.

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Recensione

Comments on the first edition:
`Each chapter contains illlustrative examples and exercises. This excellent book is the first textbook on deterministic global optimization.'
Mathematical Reviews (96g:90001)
`The authors provide a nice selection of homework exercises (with solutions) at an appropriate level and a good mixture of theory, application, and numerical problems throughout the text. The text would be perfect for a course on global optimization.'
Interfaces 28 (1998)
`Overall, this book provides an excellent introduction to the fascinating field of global optimization. The authors have used their extensive knowledge of and perspective on the field to create a coherent text that is accessible to a large audience that includes both students of mathematical programming and scientists who utilize optimization in their work.'
Journal of Global Optimization 9 (1996)

Contenuti

Preface to the Second Edition. Preface to the First Edition. 1. Fundamental results. 2. Quadratic Programming. 3. General Concave Minimization. 4. D.C. Programming. 5. Lipschitz Optimization. 6. Global Optimization on Networks. 7. Decomposition Algorithms. Solutions. Selected References. Index.

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