Progress in Optimization

1. Front Matter

   Pages i-xxi

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2. Non-smooth Analysis

   1. Front Matter

      Pages 1-1

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   2. A Survey of Clarke’s Subdifferential and the Differentiability of Locally Lipschitz Functions

      • J. R. Giles

      Pages 3-26

   3. Continuous Approximation of Nonsmooth Mappings

      • A. M. Rubinov, A. Zaffaroni

      Pages 27-56

3. Generalized Convexity

   1. Front Matter

      Pages 57-57

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   2. Generalised Convexity Properties of Marginal Functions

      • M. Andramonov, A. Ellero

      Pages 59-78

   3. Fractional Programming with Invexity

      • B. D. Craven, B. Mond

      Pages 79-89

   4. Supremal Generators of Spaces of Homogeneous Functions

      • A. M. Rubinov

      Pages 91-100

   5. Higher Order Convexity and Duality in Multiobjective Programming Problems

      • J. Zhang

      Pages 101-117

4. Algorithms

   1. Front Matter

      Pages 119-119

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   2. A Survey of Some Nonsmooth Equations and Smoothing Newton Methods

      • L. Qi, D. Sun

      Pages 121-146

   3. Minimization Methods for One Class of Nonsmooth Functions and Calculation of Semi-Equilibrium Prices

      • A. M. Bagirov

      Pages 147-175

   4. Potential Reduction Methods for the Nonlinear Complementarity Problem

      • H. Jiang

      Pages 177-192

   5. Approximations to the Clarke Generalized Jacobians and Nonsmooth Least-Squares Minimization

      • H. Xu, A. M. Rubinov, B. M. Glover

      Pages 193-210

5. Global Optimization

   1. Front Matter

      Pages 211-211

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   2. A Parametric Approach to Global Optimization Problems of a Special Kind

      • M. Andramonov

      Pages 213-232

   3. A Concave Composite Programming Perspective on DC Programming

      • L. Churilov, M. Sniedovich

      Pages 233-244

6. Control Methodologies

   1. Front Matter

      Pages 245-245

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   2. A Survey of the Control Parametrization and Control Parametrization Enhancing Methods for Constrained Optimal Control Problems

      • V. Rehbockt, K. L. Teo, L. S. Jennings, H. W. J. Lee

      Pages 247-275

   3. Multivariable Controllers with Time-Domain Inequality Constraints

      • J. K. Vethecan, R. D. Hill

      Pages 277-301

Although the monograph Progress in Optimization I: Contributions from Aus­ tralasia grew from the idea of publishing a proceedings of the Fourth Optimiza­ tion Day, held in July 1997 at the Royal Melbourne Institute of Technology, the focus soon changed to a refereed volume in optimization. The intention is to publish a similar book annually, following each Optimization Day. The idea of having an annual Optimization Day was conceived by Barney Glover; the first of these Optimization Days was held in 1994 at the University of Ballarat. Barney hoped that such a yearly event would bring together the many, but widely dispersed, researchers in Australia who were publishing in optimization and related areas such as control. The first Optimization Day event was followed by similar conferences at The University of New South Wales (1995), The University of Melbourne (1996), the Royal Melbourne Institute of Technology (1997), and The University of Western Australia (1998). The 1999 conference will return to Ballarat University, being organized by Barney's long-time collaborator Alex Rubinov. In recent years the Optimization Day has been held in conjunction with other locally-held national or international conferences. This has widened the scope of the monograph with contributions not only coming from researchers in Australia and neighboring regions but also from their collaborators in Europe and North America.

• algorithms
• approximation
• calculus
• global optimization
• inequality
• Optimal control
• optimization
• programming

• Royal Melbourne Institute of Technology, Australia

  Andrew Eberhard, Robin Hill

• University of Melbourne, Australia

  Daniel Ralph

• Curtin University of Technology, Australia

  Barney M. Glover

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