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Field name	Details
Dewey Class	519
Title	Nonlinear Multiobjective Optimization ([EBook] :) : A Generalized Homotopy Approach / / by Claus Hillermeier.
Author	Hillermeier, Claus
Other name(s)	SpringerLink (Online service)
Publication	Basel : : Birkhäuser Basel : : Imprint: Birkhäuser, , 2001.
Physical Details	IX, 135 p. : online resource.
Series	International series of numerical mathematics ; 135
ISBN	9783034882804
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8280-4
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Engineering mathematics . Mathematics . Authors: Hillermeier, Claus . Corporate Authors: SpringerLink (Online service) . Series: International series of numerical mathematics . Classification: 519 .

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Nonlinear Multiobjective Optimization: A Generalized Homotopy Approach /

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