Newton-iterative methods for the solution of systems of nonlinear equations
Technical Report
·
OSTI ID:7352301
The local rates of convergence of Newton-iterative methods for the solution of systems of nonlinear equations are considered. Under certain conditions on the inner, linear iterative method, Newton-iterative methods can be made to converge quadratically by computing a sufficient number of inner iterates at each step. As an example of this phenomenon, the Newton-Richardson methods which use an inner Richardson-D'Jakonov iteration are examined.
- Research Organization:
- Illinois Univ., Urbana (USA). Dept. of Computer Science
- OSTI ID:
- 7352301
- Report Number(s):
- COO-2383-0027; UIUCDCS-R-75-772
- Country of Publication:
- United States
- Language:
- English
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