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- catalog abstract ""Arguably, many industrial optimization problems are of the multiobjective type. The present work, after presenting 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-rounded 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 optimizations and numerical homotopy methods."--Jacket.".
- catalog contributor b12030033.
- catalog created "2001.".
- catalog date "2001".
- catalog date "2001.".
- catalog dateCopyrighted "2001.".
- catalog description ""Arguably, many industrial optimization problems are of the multiobjective type. The present work, after presenting 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-rounded and numerically efficient. The power of the new method is demonstrated by solving two real life problems of industrial optimization.".
- catalog description "Includes bibliographical references (p. 129-132) and index.".
- catalog description "The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimizations and numerical homotopy methods."--Jacket.".
- catalog description "Vector optimization in industrial applications -- Connection with scalar-value optimization -- Manifold of stationary points -- Homotopy strategies -- Numerical results.".
- catalog extent "135 p. :".
- catalog identifier "081766498X (alk. paper)".
- catalog identifier "376436498X (alk. paper)".
- catalog isPartOf "International series of numerical mathematics ; v. 135".
- catalog issued "2001".
- catalog issued "2001.".
- catalog language "eng".
- catalog publisher "Basel ; Boston : Birkhauser Verlag,".
- catalog subject "519.3 21".
- catalog subject "Mathematical optimization.".
- catalog subject "Multiple criteria decision making.".
- catalog subject "Nonlinear programming.".
- catalog subject "QA402.5 .H55 2001".
- catalog tableOfContents "Vector optimization in industrial applications -- Connection with scalar-value optimization -- Manifold of stationary points -- Homotopy strategies -- Numerical results.".
- catalog title "Nonlinear multiobjective optimization : a generalized homotopy approach / Claus Hillermeier.".
- catalog type "text".