Recent Advances in Nonsmooth Optimization

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World Scientific, 1995 - Mathematics - 472 pages
Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure.This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization.

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Contents

20
103
35
140
45
169
S Komlósi
211
Nonunique Multipliers
215
Prederivatives and Second Order Conditions for Infinite
244
Necessary and Sufficient Conditions for Solution Stability
261
Miscellaneous Incidences of Convergence Theories in Optimization
289
On Regularized Duality in Convex Optimization
381
ܥܼ
403
A Globally Convergent Newton Method for Solving Variational
405
Upper Bounds on a Parabolic Second Order Directional Derivative
418
40
425
A SLP Method with a Quadratic Correction Step for Nonsmooth
438
A Successive Approximation QuasiNewton Process for Nonlinear
459
50
467

SecondOrder Nonsmooth Analysis in Nonlinear Programming
322
Characterizations of Optimality for Homogeneous Programming
351

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