Search Results for "polynomial"
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Showing 15 open source projects for "polynomial"
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TaylorSeries.jl
Taylor polynomial expansions in one and several independent variables
A Julia package for Taylor polynomial expansions in one or more independent variables. -
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SumOfSquares.jl
Sum of Squares Programming for Julia
SumOfSquares.jl is a JuMP extension that, when used in conjunction with MultivariatePolynomial and PolyJuMP, implements a sum of squares reformulation for polynomial optimization. -
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MultivariatePolynomials.jl
Multivariate polynomials interface
...It defines abstract types and an API for multivariate monomials, terms, and polynomials and gives default implementation for common operations on them using the API. On the one hand, This packages allows you to implement algorithms on multivariate polynomials that will be independant on the representation of the polynomial that will be chosen by the user. On the other hand, it allows the user to easily switch between different representations of polynomials to see which one is faster for the algorithm that he is using. -
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HomotopyContinuation.jl
A Julia package for solving systems of polynomials
HomotopyContinuation.jl is a Julia package for solving systems of polynomial equations by numerical homotopy continuation. Many models in the sciences and engineering are expressed as sets of real solutions to systems of polynomial equations. We can optimize any objective whose gradient is an algebraic function using homotopy methods by computing all critical points of the objective function. An important special case is when the objective function is the euclidean distance to a given point. ... -
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Polynomials.jl
Polynomial manipulations in Julia
Basic arithmetic, integration, differentiation, evaluation, root finding, and fitting for univariate polynomials in Julia. -
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BasicBSpline.jl
Basic (mathematical) operations for B-spline functions
Basic (mathematical) operations for B-spline functions and related things with Julia. -
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Nemo.jl
Julia bindings for various mathematical libraries (including flint2)
Nemo is a computer algebra package for the Julia programming language. It aims to cover commutative algebra, number theory and group theory. Julia bindings for various mathematical libraries (including flint2) -
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AbstractAlgebra.jl
Generic abstract algebra functionality in pure Julia
AbstractAlgebra is a pure Julia package for computational abstract algebra. It grew out of the Nemo project and provides all of the abstract types and generic implementations that Nemo relies on. It was originally developed by William Hart, Tommy Hofmann, Fredrik Johansson and Claus Fieker with contributions from others. Current maintainers are Claus Fieker, Tommy Hofmann and Max Horn. -
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Surrogates.jl
Surrogate modeling and optimization for scientific machine learning
A surrogate model is an approximation method that mimics the behavior of a computationally expensive simulation. In more mathematical terms: suppose we are attempting to optimize a function f(p), but each calculation of f is very expensive. It may be the case we need to solve a PDE for each point or use advanced numerical linear algebra machinery, which is usually costly. The idea is then to develop a surrogate model g which approximates f by training on previous data collected from... -
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Reduce.jl
Symbolic parser for Julia language term rewriting using REDUCE algebra
REDUCE is a portable general-purpose computer algebra system. It is a system for doing scalar, vector and matrix algebra by computer, which also supports arbitrary precision numerical approximation and interfaces to gnuplot to provide graphics. It can be used interactively for simple calculations (as illustrated in the screenshot below) but also provides a full programming language, with a syntax similar to other modern programming languages. REDUCE supports alternative user interfaces... -
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Eleana
Program for the analysis of spectroscopic data, in particular EPR(ESR)
Eleana is a program for manipulating, modifying and analyzing various spectroscopic data, in particular electron paramagnetic resonance spectra. It allows you to import data from Bruker spectrometers such as Elexsys or EMX and data from any ASCII file or imported from the clipboard. The program is under constant development, but already has many functions implemented for spectral analysis. Some of the basic functions include: baseline corrections, filtering, spectral clipping, integration /... -
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MPlotCurve
A subclass of QwtPlotCurve
A subclass of QwtPlotCurve that supports various types of curve fitting. The fitted points are readily available for use by the application. This makes computing such things as the area under a curve easy. -
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VisualRiSC
Toolbox visualizing computations of Realizable Sign Conditions.
This toolbox contains a set of Python procedures in order to compute examples associated with the computation of Realizable Sign Conditions (RiSC) due to the approach by Basu, Pollack and Roy. The RiSC approach is a way to solve and analyze systems of polynomial equations and inequalities over the real numbers in the field of real-algebraic geometry. The involved computations often consist of highly sophisticated notions, not easy to illustrate by hand. VisualRiSC provides implementations of such notions and functions using the Python package SymPy, on the one hand, and an interface to Gnuplot in order for a visualization of examples using the Python package Gnuplot.py. -
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