Title

An Interval Newton Method

Document Type

Article

Publication Date

5-1983

Publication Title

Applied Mathematics and Computation

Volume

12

Issue

2-3

Pages

89-98

Abstract

We introduce an interval Newton method for bounding solutions of systems of nonlinear equations. It entails three subalgorithms. The first is a Gauss-Seidel-type step. The second is a real (noninterval) Newton iteration. The third solves the linearized equations by elimination. We explain why each subalgorithm is desirable and how they fit together to provide solutions in as little as one-third or one-quarter the time required by Krawczyk's method [7] in our implementations.

Identifier

doi:10.1016/0096-3003(83)90001-2

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.