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Titlebook: Nonlinear Optimization and Applications; G. Pillo,F. Giannessi Book 1996 Springer Science+Business Media New York 1996 Interpolation.algor

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书目名称Nonlinear Optimization and Applications
编辑G. Pillo,F. Giannessi
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图书封面Titlebook: Nonlinear Optimization and Applications;  G. Pillo,F. Giannessi Book 1996 Springer Science+Business Media New York 1996 Interpolation.algor
描述This volume contains the edited texts of the lectures presented at the workshop on Nonlinear Optimization: Theory and Applications, held in Erice at the "G. Stampacchia" School of Mathematics of the "E. Majorana" International Centre for Scientific Culture June 13-21, 1995. The meeting was conceived to review and discuss recent advances and promising research trends concerning theory, algorithms, and innovative applications in the field This is a field of mathematics which is providing viable of Nonlinear Optimization. tools in engineering, in economics and in other applied sciences, and which is giving a great contribution also in the solution of the more practiced linear optimization prob­ lems. The meeting was attended by approximately 70 people from 18 countries. Besides the lectures, several formal and informal discussions took place. The result was a broad exposure providing a wide and deep understanding of the present research achievements in the field. We wish to express our appreciation for the active contributions of all the partici­ pants in the meeting. Our gratitude is due to the Ettore Majorana Center in Erice, which offered its facilities and stimulating environment:
出版日期Book 1996
关键词Interpolation; algorithms; linear optimization; nonlinear optimization; optimization
版次1
doihttps://doi.org/10.1007/978-1-4899-0289-4
isbn_softcover978-1-4899-0291-7
isbn_ebook978-1-4899-0289-4
copyrightSpringer Science+Business Media New York 1996
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Successive Projection Methods for the Solution of Overdetermined Nonlinear Systems,sible region is, in general, empty. We prove a local convergence theorem to fixed points of the algorithmic mapping. We defined a stopping rule for ill-conditioned problems, based on the behavior of the increment norm ∥.. − ..∥. We show numerical experiments.
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Inexact Newton Methods for Semismooth Equations with Applications to Variational Inequality Problemacterization of the Q-superlinear and Q-quadratic convergence of inexact Newton methods. We then apply these results to a particular semismooth system of equations arising from variational inequality problems, and present a globally and locally fast convergent algorithm for its solution.
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Globally Convergent Online Minimization Algorithms for Neural Network Training,new globally convergent online algorithms based on a reformulation of the original problem as an equivalent constrained problem in an extended space. For the solution of this problem we propose an alternating direction technique employing as merit function a differentiable exact augmented Lagrangian function of suitable structure.
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