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Nonlinear Multiobjective Optimization: A Generalized Homotopy Approach: International Series of Numerical Mathematics, cartea 135

Autor Claus Hillermeier
en Limba Engleză Paperback – 10 noi 2012
Arguably, many industrial optimization problems are of the multiobjective type. The present work, after providing a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the new method is demonstrated by solving two real-life problems of industrial optimization.
The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods.
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Specificații

ISBN-13: 9783034895019
ISBN-10: 3034895011
Pagini: 148
Ilustrații: IX, 135 p.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.22 kg
Ediția:Softcover reprint of the original 1st ed. 2001
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria International Series of Numerical Mathematics

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

1 Introduction.- 2 Vector Optimization in Industrial Applications.- 3 Principles and Methods of Vector Optimization.- 4 The Connection with Scalar-Valued Optimization.- 5 The Manifold of Stationary Points.- 6 Homotopy Strategies.- 7 Numerical Results.