John Ford

Research Interests

My main interest lies in the development of faster and more efficient algorithms for solving unconstrained optimisation problems, although many of the ideas also have applications in other areas. I focus particular attention on developing methods which are able to combine old and new information in an effective manner. Methods of this type currently under investigation are exhibiting substantially improved performance when compared with "industry standard" methods, particularly as the number of variables, and therefore the difficulty of the problem, increases. I also work with Edward Tsang in the area of Constraint Programming. My subsidiary interests include chaos, with particular reference to the use of graphics in studying the behaviour of non-linear-equation solvers, and numerical algorithms on parallel computer systems.

Selected Publications

  • Tsang, E. P. K., Ford, J. A., Lau, T. L., Mills, P., and Voudouris, C., 'Operations research meets constraint programming: some achievements so far', Proceedings, 15th National Conference of the Australian Society for Operations Research (ASOR'99), Gold Coast, Queensland (1999) pp. 1313-1324 [C4]
  • Ford, J. A., 'Implicit Updates in Multi-step Quasi-Newton Methods', Computers and Mathematics with Applications, 42: (2001) pp. 1083-1091 [C11]
  • Ford, J. A. and Ghandhari, R. A., 'On the Use of Function-values in Unconstrained Optimisation', Journal of Computational and Applied Mathematics, 28: (1989) pp. 187-198 [C11]
  • Ford, J. A. and Saadallah, A. F., 'A rational function model for unconstrained optimisation', Numerical Methods (Colloquia of Janos Bolyai Mathematical Society), (1988) pp. 539-563 [C4]
  • Ford, J. A., 'Improved Illinois-Type Methods for the Solutions of Nonlinear Equations', Scientia Iranica, 4: (1997) pp. 28-34 [C11]
  • Ford, J. A. and Moghrabi, I. A., 'Minimum Curvature Multistep Quasi-Newton Methods', Computers and Mathematics with Applications, 31: (1996) pp. 179-186 [C11]
  • Ford, J. A. and Moghrabi, I. A., 'Multi-step quasi-Newton methods for optimization', Journal of Computational and Applied Mathematics, 50: (1994) pp. 305-323 [C11]
  • Ford, J. A. and Moghrabi, I. A., 'Alternative parameter choices for multi-step quasi-Newton methods', Optimisation Methods and Software, 2: (1993) pp. 357-370 [C11]
  • Ford, J. A., 'A Generalization of the Jenkins-Traub Method', Mathematics of Computation, 31: (1977) pp. 204-213 [C11]