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Titlebook: Nonlinear Multiobjective Optimization; A Generalized Homoto Claus Hillermeier Book 2001 Birkhäuser Basel 2001 Vector optimization.geometry.

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书目名称Nonlinear Multiobjective Optimization
副标题A Generalized Homoto
编辑Claus Hillermeier
视频video
丛书名称International Series of Numerical Mathematics
图书封面Titlebook: Nonlinear Multiobjective Optimization; A Generalized Homoto Claus Hillermeier Book 2001 Birkhäuser Basel 2001 Vector optimization.geometry.
描述.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..
出版日期Book 2001
关键词Vector optimization; geometry; homotopy theory; multi-objective optimization; numerical analysis; optimiz
版次1
doihttps://doi.org/10.1007/978-3-0348-8280-4
isbn_softcover978-3-0348-9501-9
isbn_ebook978-3-0348-8280-4Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightBirkhäuser Basel 2001
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Book 2001eoretically 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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Book 2001 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 th
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The Manifold of Stationary Points,ion can therefore be interpreted as a zero manifold in an extended variable space, the product space formed by the actual variables ., the Lagrange multipliers λ and the weight vectors α. On certain conditions this zero manifold is a (.− 1)-dimensional differentiable manifold.
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0373-3149 ial 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..978-3-0348-9501-9978-3-0348-8280-4Series ISSN 0373-3149 Series E-ISSN 2296-6072
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