Titlebook: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods; Masao Fukushima,Liqun Qi Book 1999 Springer Science+Business

Paradox

Reformulations of a Bicriterion Equilibrium Model,different variable spaces, some finite, some infinite While the various reformulations possess quite different theoretical properties, a common numerical procedure for their solution can be worked out. Indeed this algorithm has a very natural relationship with a subproblem common to each reformulation of the model.

Acclaim

978-1-4419-4805-2Springer Science+Business Media Dordrecht 1999

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Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods978-1-4757-6388-1Series ISSN 1384-6485

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SPECT

Solving Complementarity Problems by Means of a New Smooth Constrained Nonlinear Solver,lgorithm of Inexact-Newton type is defined. Global and local convergence proofs are presented. As a practical application, the Horizontal Nonlinear Complementarity Problem is introduced. It is shown that the Inexact-Newton algorithm can be applied to this problem. Numerical experiments are performed and commented.

定點(diǎn)

,-Enlargements of Maximal Monotone Operators: Theory and Applications,tablish some theoretical properties of .., including a transportation formula, its Lipschitz continuity, and a result generalizing Br?nsted & Rockafellar’s theorem. Then we make use of the .-enlargement to define an algorithm for finding a zero of ..

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Well-Posed Problems and Error Bounds in Optimization,for the problem. We give sufficient conditions for the problem to be well-posed and the existence of these error bounds. We show that the well-posedness can be characterized in terms of these error bounds when the problem is a convex program. As an application, we reproduce known error bound results in mathematical programming.

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cacophony

https://doi.org/10.1007/978-1-4757-6388-1Finite; Operations Research; Operator; Variable; algorithm; algorithms; calculus; equation; function; linear