Generalized-norm conjugate direction solver |

** Mohammad Maysami and Nader Moussa**

In optimization problems, the norm outperforms the norm in presence of noise and when a blocky or sparse solution is appropriate.
These applications call for a solver that can redefine the optimum criteria for a particular problem.
We have implemented a generalized norm solver that is useful for a wide range of problems. Our solver modularizes the norm function so that it can easily be interchanged to experiment with different schemes on any particular geophysical problem. We implement , , and two additional norms: Huber and Hybrid . These are useful for problems that seek the benefits of both the and norms.

- Introduction
- Norm Options
- Solver internal mechanisms

- New external parameters

- Summary
- Appendix A: analytical derivation of plane-search step sizes
- Appendix B: Fortran codes for cgstep and generalized cgnorm plane-search stepper

- Bibliography
- About this document ...

2009-10-19