MPSolve
MPSolve is a package for the approximation of the roots of a univariate polynomial. It uses the Aberth method, combined with a careful use of multiprecision.
"Mpsolve takes advantage of sparsity, and has special hooks for polynomials that can be evaluated efficiently by straight-line programs"
Implementation
The program is written mostly in ANSI C and makes use of the GNU Multi-Precision Library. It uses a command-line interface and,starting from version 3.1.0 has also a Graphical [user interface|GUI] and interfaces for MATLAB and GNU/Octave.
Usage
The executable program of the package is called mpsolve. It can be run from command line in console. The executable file for the graphical user interface is called xmpsolve, and the MATLAB and Octave functions are called mps_roots. They behave similarly to the function roots that is already included in these software packages.Output
Typically output will be on the screen. It may also be saved as a text file and plotted in gnuplot. Direct plotting in gnuplot is also supported on Unix systems.Image:mcenter10.jpg|This file shows centers of hyperbolic components of mandelbrot set for period 10. It is made with gnuplot. Centers are computed with MPSolve.