- An introduction to the CONDOR algorithm.
- Trust Region and Line-search Methods.
- A simple trust-region algorithm.
- The basic trust-region algorithm (BTR).
- About the CONDOR algorithm.

- Multivariate Lagrange Interpolation
- Introduction
- A small reminder about univariate interpolation.
- Multivariate Lagrange interpolation.
- The Lagrange Interpolation inside the optimization loop.

- 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.

Frank Vanden Berghen 2004-04-19