A Family of Newton Codes for Systems of Highly Nonlinear Equations.
Please always quote using this URN: urn:nbn:de:0297-zib-4855
- 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.
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| Author: | Ulrich Nowak, Lutz Weimann |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1992/01/29 |
| Series (Serial Number): | ZIB-Report (TR-91-10) |
| ZIB-Reportnumber: | TR-91-10 |
