Affiliation:
1. Univ. of Southwestern Louisiana, Lafayette
Abstract
We present a portable software package for finding all real roots of a system of nonlinear equations within a region defined by bounds on the variables. Where practical, the package should find all roots with mathematical certainty. Though based on interval Newton methods, it is self-contained. It allows various control and output options and does not require programming if the equations are polynomials; it is structured for further algorithmic research. Its practicality does not depend in a simple way on the dimension of the system or on the degree of nonlinearity.
Publisher
Association for Computing Machinery (ACM)
Subject
Applied Mathematics,Software
Cited by
114 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Interval constraint programming for globally solving catalog-based categorical optimization;Journal of Global Optimization;2024-01-22
2. Interval Tools in Branch-and-Bound Methods for Global Optimization;The Palgrave Handbook of Operations Research;2022
3. Appropriate synthesis of the four-bar linkage;Mechanism and Machine Theory;2020-11
4. ReluDiff;Proceedings of the ACM/IEEE 42nd International Conference on Software Engineering;2020-06-27
5. Appropriate analysis of the four-bar linkage;Mechanism and Machine Theory;2019-09