INTBIS
Algorithm 681: INTBIS, a portable interval Newton/bisection package. 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.
(Source: http://dl.acm.org/)
This software is also peer reviewed by journal TOMS.
This software is also peer reviewed by journal TOMS.
Keywords for this software
References in zbMATH (referenced in 31 articles , 1 standard article )
Showing results 21 to 31 of 31.
Sorted by year (- Kearfott, R. B.: A Fortran 90 environment for research and prototyping of enclosure algorithms for nonlinear equations and global optimization (1995)
- Maranas, Costas D.; Floudas, Christodoulos A.: Finding all solutions of nonlinearly constrained systems of equations (1995)
- Ratz, Dietmar; Csendes, Tibor: On the selection of subdivision directions in interval branch-and-bound methods for global optimization (1995)
- Sloane, N. J. A.; Hardin, R. H.; Duff, T. D. S.; Conway, J. H.: Minimal-energy clusters of hard spheres (1995)
- Du, Kaisheng; Kearfott, R. Baker: The cluster problem in multivariate global optimization (1994)
- Jerrell, Max E.: Global optimization using interval arithmetic (1994)
- Kearfott, R. B.; Dawande, M.; Hu, C.: Algorithm 737: INTLIB: A portable Fortran 77 interval standard-function library (1994)
- Knüppel, O.: PROFIL/BIAS - A fast interval library (1994)
- Ratschek, H.; Rokne, J.: Experiments using interval analysis for solving a circuit design problem (1993)
- Kearfott, R. Baker: Decompostition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems (1991)
- Kearfott, R. Baker; Novoa, Manuel III: Algorithm 681: INTBIS, a portable interval Newton/bisection package (1990)