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Mpsolve
Jul 20, 2023
Multiprecision rootfinder for complex roots of univariate polynomials
MPSolve stands for Multiprecision Polynomial SOLVEr. It is a software that aims to provide an easy to use hopefully universal blackbox for solving polynomials and secular equations.
Among its features you can find
- Arbitrary precision approximation.
- Guaranteed inclusion radii for the results.
- Exploiting of polynomial structures it can take advantage of sparsity as well as coefficients in a particular domain i.e. integers or rationals.
- It can be specialized for specific classes of polynomials. As an example, see the roots of the Mandelbrot polynomial of degree 2.097.151 computed in about 10 days on a dual Xeon server.
Checkout these related ports:
- Zn_poly - C library for polynomial arithmetic
- Zimpl - Language to translate the LP models into .lp or .mps
- Zegrapher - Software for plotting mathematical objects
- Zarray - Dynamically typed N-D expression system based on xtensor
- Z3 - Z3 Theorem Prover
- Yices - SMT solver
- Yacas - Yet Another Computer Algebra System
- Xtensor - Multi-dimensional arrays with broadcasting and lazy computing
- Xtensor-python - Python bindings for xtensor
- Xtensor-io - Xtensor plugin to read/write images, audio files, numpy npz and HDF5
- Xtensor-blas - BLAS extension to xtensor
- Xspread - Spreadsheet program for X and terminals
- Xppaut - Graphical tool for solving differential equations, etc
- Xplot - X11 plotting package
- Xlife++ - XLiFE++ eXtended Library of Finite Elements in C++