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Titlebook: Approximation, Optimization and Mathematical Economics; Marc Lassonde Conference proceedings 2001 Springer-Verlag Berlin Heidelberg 2001 P

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Approximate Saddle Point Assertions for a General Class of Approximation Problems,ngean we derive necessary and sufficient conditions for approximate saddle points of this Lagrangean. Especially, we prove an approximate complementary slackness condition. Furthermore, we compute the approximation error with respect to the original problem. We show the results on the base of a scalarization with linear continuous functionals.
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Some Applications of the Mollification Method,iefly introduce the method, including its main feature, which is its ability to automatically select regularization parameters. After this introduction, we present several applications of the method, illustrated with numerical examples. Most of these applications are the subject of our current research.
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Conference proceedings 2001e numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.
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and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.978-3-7908-1363-0978-3-642-57592-1
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The Second-order in Time Continuous Newton Method,udy the Newton-like second-order in time nonlinear dissipative dynamical system:., plus Cauchy data, mainly in view of the unconstrained minimization of the function ..The main result is the gradient vanishing along any bounded trajectory as time goes to infinity. Results concerning the convergence
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