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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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An Algorithm using Quadratic Interpolation for Unconstrained Derivative Free Optimization,vative of the objective function. A new algorithm is proposed that uses quadratic models in a trust region framework. The algorithm is constructed to require few evaluations of the objective function and is designed to be relatively insensitive to noise in the objective function values. Its performa
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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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Space-Transformation Technique: The State of the Art,is used to reduce the original problem with equality and inequality constraints to a problem involving only equality constraints. Continuous and discrete versions of the stable gradient projection method and the Newton method are used for treating the reduced problem. Upon the inverse transformation
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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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