Buch, Englisch, Band 135, 135 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 395 g
A Generalized Homotopy Approach
Buch, Englisch, Band 135, 135 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 395 g
Reihe: International Series of Numerical Mathematics
ISBN: 978-3-7643-6498-4
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Operations Research Spieltheorie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
Weitere Infos & Material
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.
