Konrad-Zuse-Zentrum
|
ZIB PaperWeb
|
|
|
| TR 91-10 | Ulrich Nowak, Lutz Weimann
A Family of Newton Codes for Systems of Highly Nonlinear Equations. |  |
Abstract: This report presents new codes for the
numerical solution of highly nonlinear systems. They realize
the most recent variants of affine invariant Newton
Techniques due to Deuflhard. The standard method is
implemented in the code NLEQ1, whereas the code NLEQ2
contains a rank reduction device additionally. The code
NLEQ1S is the sparse version of NLEQ1, i.e. the arising
linear systems are solved with sparse matrix techniques.
Within the new implementations a common design of the
software in view of user interface and internal
modularization is realized. Numerical experiments for some
rather challenging examples illustrate robustness and
efficiency of algorithm and software.