- Summary
- Acknowledgments - Remerciements

- Introduction

- Unconstrained Optimization
- An introduction to the CONDOR algorithm.
- Multivariate Lagrange Interpolation
- The Trust-Region subproblem
- must be positive definite.
- Explanation of the Hard case.
- Finding the root of .
- Starting and safe-guarding Newton's method
- How to pick inside ?
- Initial values of and
- How to find a good approximation of : LINPACK METHOD
- The Rayleigh quotient trick
- Termination Test.
- An estimation of the slope of at the origin.

- The secondary Trust-Region subproblem
- The CONDOR unconstrained algorithm.
- Numerical Results of CONDOR.

- Constrained Optimization
- A short review of the available techniques.
- Detailed description of the constrained step
- Numerical Results for the constrained algorithm
- The METHOD project
- Conclusions
- Annexes
- Code

- Bibliography
- About this document ...

Frank Vanden Berghen 2004-04-19