Numerical Optimization with Computational Errors

Numerical Optimization with Computational Errors

Zaslavski, Alexander J.

Springer International Publishing AG

05/2018

304

Mole

Inglês

9783319809175

15 a 20 dias

4803

Descrição não disponível.
1. Introduction.- 2. Subgradient Projection Algorithm.- 3. The Mirror Descent Algorithm.- 4. Gradient Algorithm with a Smooth Objective Function.- 5. An Extension of the Gradient Algorithm.- 6. Weiszfeld's Method.- 7. The Extragradient Method for Convex Optimization.- 8. A Projected Subgradient Method for Nonsmooth Problems.- 9. Proximal Point Method in Hilbert Spaces.- 10. Proximal Point Methods in Metric Spaces.- 11. Maximal Monotone Operators and the Proximal Point Algorithm.- 12. The Extragradient Method for Solving Variational Inequalities.- 13. A Common Solution of a Family of Variational Inequalities.- 14. Continuous Subgradient Method.- 15. Penalty Methods.- 16. Newton's method.- References.- Index.
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nonlinear programming;mathematical programming;proximal point methods;extragradient methods;continuous subgradient method