Abstract
In this article, we present a trust region algorithm for the nonlinear equations with a new updating rule of the trust region radius, which takes some function of the residual. We show that under the local error bound condition which is weaker than the non-singularity, the new algorithm converges quadratically to some solution of the nonlinear equations. Numerical results show that the new algorithm performs very well for some singular nonlinear equations.
| Original language | English |
|---|---|
| Pages (from-to) | 3186-3195 |
| Number of pages | 10 |
| Journal | International Journal of Computer Mathematics |
| Volume | 87 |
| Issue number | 14 |
| DOIs | |
| State | Published - Nov 2010 |
Keywords
- local error bound condition
- nonlinear equations
- quadratic convergence
- trust region method