Recent Advances in Nonsmooth Optimization

By: Ding-Zhu Du (Editor), Frank Kwang-Ming Hwang (Editor), Li-Qun Qi (Editor)

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Hardcover | 1 December 1994

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480 Pages

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Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. This book includes papers on theory, algorithms and applications for problems with fast-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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Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Optimisation Linear Programming Booktopia Publisher Services World Scientific Publishing

Hybrid Methods for Finding the Nearest Euclidean Distance Matrix	p. 1
Subdifferential Characterization of Convexity	p. 18
A Simple Triangulation of R[superscript n] with Fewer Simplices for Solving Nonsmooth Convex Programming	p. 24
On Generalized Differentiability of Optimal Solutions and its Application to an Algorithm for Solving Bilevel Optimization Problems	p. 36
Projected Gradient Methods for Nonlinear Complementarity Problems via Normal Maps	p. 57
An NCP-Function and its Use for the Solution of Complementarity Problems	p. 88
An Elementary Rate of Convergence Proof for the Deep Cut Ellipsoid Algorithm	p. 106
Solving Nonsmooth Equations by Means of Quasi-Newton Methods with Globalization	p. 121
Superlinear Convergence of Approximate Newton Methods for LC[superscript 1] Optimization Problems without Strict Complementarity	p. 141
On Second-Order Directional Derivatives in Nonsmooth Optimization	p. 159
On the Solution of Optimum Design Problems with Variational Inequalities	p. 172
Monotonicity and Quasimonotonicity in Nonsmooth Analysis	p. 193
Sensitivity of Solutions in Nonlinear Programming Problems with Nonunique Multipliers	p. 215
Generalized Convexity and Higher Order Duality of the Non-Linear Programming Problem with Non-Negative Variables	p. 224
Prederivatives and Second Order Conditions for Infinite Optimization Problems	p. 244
Necessary and Sufficient Conditions for Solution Stability of Parametric Nonsmooth Equations	p. 261
Miscellaneous Incidences of Convergence Theories in Optimization and Nonlinear Analysis, Part II: Applications in Nonsmooth Analysis	p. 289
Second-Order Nonsmooth Analysis in Nonlinear Programming	p. 322
Characterizations of Optimality for Homogeneous Programming Problems with Applications	p. 351
On Regularized Duality in Convex Optimization	p. 381
An Interior Point Method for Solving a Class of Linear-Quadratic Stochastic Programming Problems	p. 392
A Globally Convergent Newton Method for Solving Variational Inequality Problems with Inequality Constraints	p. 405
Upper Bounds on a Parabolic Second Order Directional Derivative of the Marginal Function	p. 418
A SLP Method with a Quadratic Correction Step for Nonsmooth Optimization	p. 438
A Successive Approximation Quasi-Newton Process for Nonlinear Complementarity Problem	p. 459
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Recent Advances in Nonsmooth Optimization

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