Comparison of numerical-analysis software

Articles

The following tables provide a comparison of numerical analysis software.

General

	Creator	Development started	First public release	Latest stable version	Stable release date	Cost (USD)	License	Notes
ADMB	David Fournier, ADMB Project	1989	1990	13.1			BSD 3-clause (aka new)	Automatic differentiation makes it well suited to complex minimization problems
Analytica	Lumina Decision Systems	1982 (Demos)		4.6			Proprietary	A numerical modeling environment with a declarative and visual programming language based on influence diagrams.
Ch	SoftIntegration			7.5.1			Proprietary	C/C++ based numerical computing and graphical plotting
DADiSP	DSP Development	1984	1987	6.7 B02			Proprietary	Numeric computations for science and engineering featuring a spreadsheet like interface.
Dyalog APL	Dyalog Ltd.	1981	1983	20.0			Proprietary	A modern dialect of APL, enhanced with features for functional and object-oriented programming.
Euler Math Toolbox	René Grothmann	1987	1988	2022-02-10			GPL	Also a computer algebra system through interface with Maxima
Fityk	Marcin Wojdyr		2002	1.3.1			GPL	interactive graphics, scriptable, specialized in curve fitting and peak fitting, 2D only
FlexPro	Weisang GmbH	n/a	1991	2025 (14.0.8)	6 October 2025		Proprietary	Dynamic, interactive 2D/3D diagrams, programmable, Python integration, VBA, high performances, multicore compatible, large data sets.
FreeMat	Samit Basu		2004	4.2			GPL	Codeless interface to external C, C++, and Fortran code. Mostly compatible with MATLAB.
GAUSS	Aptech Systems		1984	21			Proprietary
GNU Data Language	Marc Schellens		2004	1.0.2			GPL	Aimed as a drop-in replacement for IDL/PV-WAVE
IBM SPSS Statistics	Norman H. Nie, Dale H. Bent, and C. Hadlai Hull		1968	23.0			Proprietary	Primarily for statistics
GNU MCSim	Frederic Y. Bois & Don Maszle	1991	1993	6.0.0			GPL	General simulation and Monte Carlo sampling software
GNU Octave	John W. Eaton	1988	1993	7.3.0			GPL	General numerical computing package with many extension modules. Syntax mostly compatible with MATLAB
IGOR Pro	WaveMetrics	1986	1988	8.00			Proprietary	interactive graphics, programmable, 2D/3D, used for science and engineering, large data sets.
imc FAMOS	imc Test & Measurement	1987	1988	2025 R2	August 20, 2025		Proprietary	Solving differential equations, nonlinear approximations, Monte-Carlo calculations, engineering math, interactive plots, Python and R interface
J	Jsoftware	1989	1990	J9.5.1			GPL	online access to: J Application Library (JAL)
Julia	Jeff Bezanson, Stefan Karpinski, Viral B. Shah, Alan Edelman	2009	2012	1.12.3			MIT License	A fast, high-level numerical computing language.
LabPlot	Stefan Gerlach, Alexander Semke, KDE	2001	2003	2.11.1			GPL-2.0-or-later	2D plotting, suitable for creation of publication-ready plots but also for data visualization and exploration, data import from many formats(ASCII, binary, HDF5, FITS, JSON, etc.), export to vector and raster images, data analysis (nonlinear curve fitting in 2D, FFT, smoothing, integration and differentiation, etc.), digitizing of raster images, live data plotting, support for different CAS like Maxima, Octave, R, etc.
LabVIEW	National Instruments	1985	1986	2016			Proprietary	Graphical, and textual through formula nodes, mathscript and .m file scripts
Maple	Maplesoft	1980	1982				Proprietary	Mainly a computer algebra system
Mathcad	Parametric Technology Corporation	1985	1986	15.0; Prime 4.0			Proprietary
Mathematica	Wolfram Research	1986	1988				Proprietary	Also computer algebra system
MATLAB	MathWorks	late 1970s	1984	9.12 (R2022a)			Proprietary	Numerical computation and simulation with extended 2D/3D visualization. Emphasis on vectorised processing.
Maxima	MIT Project MAC and Bill Schelter et al.	1967	1982	5.47.0			GPL	Mainly a computer algebra system
MLAB	Civilized Software, Inc.	1970 (in SAIL), 1985 (in C)	1972 (on DEC-10), 1988 (on PCs), 1993 (on MACs)	2015			Proprietary	Numerical and Statistical computation for Scientific Applications, e.g. Chemical Kinetics. ODE Solving and Curve-Fitting. Symbolic Differentiation, Survival Analysis, Cluster Analysis, 2D/3D Graphics.
Origin	OriginLab		1991	2019b			Proprietary	Integrated data analysis graphing software for science and engineering. Flexible multi-layer graphing framework. 2D, 3D and statistical graph types. Built-in digitizing tool. Analysis with auto recalculation and report generation. Built-in scripting and programming languages.
Perl Data Language	Karl Glazebrook	1996	c. 1997	2.080			Artistic License	Used for astrophysics, solar physics, oceanography, biophysics, and simulation. 2D plotting via PGPLOT, PLPlot bindings; 3D via GL.
PSPP	Ben Pfaff	1990s	1990s	1.2.0			GPL v.3 or later	FOSS statistics program, intended as an alternative to IBM SPSS Statistics.
R	R Foundation	1997	1997	4.5.2			GPL	Primarily for statistics, but there are many interfaces to open-source numerical software
SageMath	William Stein		2005	10.2			GPL	Programmable, includes computer algebra, 2D+3D plotting. Interfaces to many open-source and proprietary software. Web based interface HTTP or HTTPS
SAS	Anthony Barr, James Goodnight	1966	1972	10.2			Proprietary	Mainly for statistics
SequenceL	Texas Multicore Technologies	1989	2012	2.4			Proprietary	Functional programming language and tools.
S-Lang	John E. Davis		1992	2.3.0			GPL, Artistic License (1.x only)	Available as a standalone (slsh) and embedded interpreter (jed, slrn, ...)
Scilab	ESI Group Was:Inria	1990	1994	2026.0.0			GPL	Programmable, direct support of 2D+3D plotting. Interfaces to many other software packages. Interfacing to external modules written in C, Java, Python or other languages. Language syntax similar to MATLAB. Used for numerical computing in engineering and physics.
Smath Studio	SMath LLC (Andrey Ivashov)		2006	1.0.8348		Free	Creative Commons Attribution-NoDerivs (CC-BY-ND)	Mathematical notebook program, similar to Mathcad, with support for Plugins (e.g. Maxima plugin available)
Sysquake	Calerga		1998	6.5			Proprietary	interactive graphics
TK Solver	Universal Technical Systems, Inc.	late 1970s	1982	6.0.152			Proprietary	Numerical computation and rule-based application development
VisSim	Visual Solutions		1989	10.1			Proprietary	Visual language for simulation and Model Based Design. Used in business, science and engineering. Performs complex scalar or matrix based ODE solving with parametric optimization. Has 2D and 3D plotting, 3D animation, and state transition built in.
Yorick	n/a	n/a	n/a	9			GPL	Programmable, callable 2D+3D plotting. Language syntax similar to C. Interfacing to other software packages via C calls.

Operating system support

The operating systems the software can run on natively (without emulation).

	macOS	BSD	Unix
ADMB
Analytica
Ch
Dyalog APL
DADiSP
Euler Math Toolbox
FlexPro
FreeMat
GAUSS
GNU Data Language
GNU MCSim
GNU Octave
IGOR Pro
imc FAMOS
Julia
LabPlot

LabVIEW
Maple
Mathematica
MATLAB
MLAB
Origin
Perl Data Language
R
SageMath
SAS
SequenceL
S-Lang
Scilab
Smath Studio	?	?	?
Sysquake
TK Solver
The Unscrambler
VisSim

Language features

Colors indicate features available as

basic system abilities

official or officially supported extensions and libraries

third-party software components or not supported

Standalone executables creation support

Symbolic computation support

OOP support

GUI creation support

Multi-dimensional arrays as primitive data type

Centralized extension library website

Can call code in other languages

Can be called from other languages

Analytica

COM, Excel

Excel, COM, .NET

Dyalog APL

Win32, .NET, WPF, HTML/JS

COM, .NET, WebServices, Shared Libraries, DLLs, NAG, R, JavaScript

COM, .NET, WebServices

GNU Data Language

GUI Widgets since v.0.9 but still incomplete

C, Python

Python

GNU MCSim

XMCSim with TCL/TK and wish

GNU Octave

with mkoctfile

Wrappers to SymPy

C, C++, Fortran, Perl, Python, Tcl

Java, Perl, C, C++, Python

JavaScript

JavaScript, C, Python

imc FAMOS

Python, R, C++

.Net

Julia

Wrappers to SymPy, SymEngine and others

C, Fortran

Python, C++, Java, MATLAB, R

C, C++, Python, R

LabVIEW

C/C++, DLLs, Python, Perl, Tcl, MATLAB, ActiveX, C#/.NET

Maple

C, C#, Fortran

MATLAB, Excel, Visual Basic, Java, and C

Mathematica

Java, .NET, C++, Fortran, CUDA, OpenCL, R, Python, SQL, SPARQL, NodeJS, Julia

Java, .NET, C++, Python

Excel, LabVIEW

Haskell, AppleScript, Racket, Visual Basic, Clojure MATLAB

MATLAB

with extension library

Through MEX files: C, C++, Fortran. Also compiled Java and ActiveX components.

Mathematica

.NET, Java, Excel

Maxima

Common Lisp

MLAB

PDL

C via perlXS; C, Python, F77, etc. via Inline

Perl, C

Python

Py2exe, Py2App, PyInstaller, cxFreeze, etc.

SymPy & others

tkinter

wxPython, QT, Kivy, many others

Numpy

PyPI

C, C++, Fortran, many others

Via the tcltk library

C, C++, Fortran

MATLAB

Python

Excel

Python

SAS

SageMath

Many languages

(any language that can call Python)

SAS

DS2 and SCL

C, Java

R (requires IML)

TK Solver

.NET Excel

Unknown

General

	Creator	Language	First public release	Latest stable version	Cost (USD)	License	Notes
ALGLIB	Sergey Bochkanov	C++, C#, Python, FreePascal	2006	4.06.0, October 2025	Dual licensed	GPL/commercial	General purpose numerical analysis library. Cross-platform (Windows, *nix).
Armadillo	NICTA	C++	2009	3.900, 2013		MPL	C++ template library for linear algebra; includes various decompositions and factorisations; syntax (API) is similar to MATLAB.
GNU Scientific Library	GNU Project	C	1996	2.7, 1 June 2021		GPL	General purpose numerical analysis library. Targets Linux, can be built on almost any *nix OS with Ansi C compiler.
ILNumerics	ILNumerics GmbH	C#, PowerShell	2007	7.4, December 2025		Proprietary	aims .NET, 2D/3D visualizations, auto-parallelization
IMSL Numerical Libraries	Rogue Wave Software	C, Java, C#, Fortran, Python	1970	many components		Proprietary	General purpose numerical analysis library.
Math.NET Numerics	C. Rüegg, M. Cuda, et al.	C#, F#, C, PowerShell	2009	4.7.0, November 2018		MIT/X11	General purpose numerical analysis and statistics library for the .NET framework and Mono, with optional support for native providers.
NAG Numerical Library	The Numerical Algorithms Group	C, Fortran	1971	many components		Proprietary	General purpose numerical analysis library.
NMath	CenterSpace Software	C#	2003	6.2, March 2016		Proprietary	Math and statistical libraries for .NET framework
SciPy	scipy.org community	Python	2001	1.5.3, 17 October 2020		BSD	Adds numerical programming abilities to Python language. Related to NumPy, and thus connected to prior Numeric and Numarray packages for Python

Operating-system support

The operating systems the software can run on natively (without emulation).

	Windows	macOS	Linux	BSD	Unix	DOS	Android
ALGLIB
GNU Scientific Library
ILNumerics
IMSL Numerical Libraries
Math.NET Numerics
NAG Numerical Library
NMath
SciPy (Python packages)

.NET.NET FrameworkActiveXADMBAdvanced Simulation LibraryAlan EdelmanALGLIBAnalytica (software)Android (operating system)Anthony James BarrAPL (programming language)AppleScriptApplication Programming InterfaceArmadillo (C++ library)Array data typeArtistic LicenseBerkeley Software DistributionBill SchelterBSD licensesC (programming language)C Sharp (programming language)C++CalergaCenterSpace SoftwareCh (computer programming)Chapel (programming language)ClojureCommon LispComparison of computer algebra systemsComparison of deep-learning softwareComparison of statistical packagesComponent Object ModelComputer algebra systemCUDADADiSPDeclarative languageDOSDyalog APLDynamic-link libraryEmulatorESI GroupEuler (software)Euler Mathematical ToolboxExecutableFEATool MultiphysicsFitykFlexProFortranFortress (programming language)FOSSFreeFem++FreeMatFunctional programmingGAUSS (software)Genius (mathematics software)GmshGNU Data LanguageGNU General Public LicenseGNU GPLv2GNU OctaveGNU Scientific LibraryGPLGraphical programmingGraphical user interfaceGretlHaskellHTTPHTTPSIBM SPSS StatisticsIGOR ProILNumericsImc FAMOSIMSL Numerical LibrariesInfluence diagramsInriaIPythonISBN (identifier)J (programming language)James GoodnightJava (programming language)JavaScriptJED (text editor)Jeff BezansonJulia (programming language)Just-in-time compilationKivy (framework)LabPlotLabVIEWLibrary (computing)LinuxList of numerical-analysis softwareLLVMMacOSMaple (software)MaplesoftMath.NET NumericsMathcadMathematicaMathWorksMATLABMaxima (software)MCSimMFEMMicrosoft ExcelMicrosoft WindowsMIT LicenseMIT Project MACMLABModel Based DesignMono (software)Mozilla Public LicenseMWorksNAG Numerical LibraryNASANational InstrumentsNICTANMathNodeJSNorman H. NieNumerical Algorithms GroupNumerical analysisNumPyObject-oriented programmingOpenCLOpenFOAMOperating systemOrdinary differential equationOrigin (data analysis software)Parametric Technology CorporationPerlPerl Data LanguagePrimitive data typeProject JupyterProprietary softwarePSPPPy2exePyPIPython (programming language)Qt (software)R (programming language)R StatisticsRacket (programming language)Raspberry PiRogue Wave SoftwareS-LangSageMathSalome (software)SAS (software)SAS ViyaScicosLabScilabSciPySequenceLSlrnSMath StudioSoftware as a serviceSPARQLSpeakeasy (computational environment)SpreadsheetSQLStefan KarpinskiSymbolic computationSymPySysquakeTcl (programming language)Texas Multicore TechnologiesThe UnscramblerThe VergeThird-party software componentTK SolverTkinterUnited States dollarUniversal Technical Systems, Inc.UnixViral B. ShahVisSimVisual BasicVisual programming languageWaterloo Maple Inc.Web serviceWeka (software)William A. SteinWin32Windows Presentation FoundationWolfram MathematicaWolfram ResearchWxPythonX10 (programming language)Yorick (programming language)

Backlinks (150)

ADMBAdvanced Simulation LibraryAMD Core Math LibraryArnoldi iterationAutomatically Tuned Linear Algebra SoftwareBareiss algorithmBartels–Stewart algorithmBasic Linear Algebra SubprogramsBiconjugate gradient methodBiconjugate gradient stabilized methodBidiagonalizationBLIS (software)Block matrix pseudoinverseBlock Wiedemann algorithmCannon's algorithmCareer and technical educationChapel (programming language)Chebyshev iterationCholesky decompositionCirculant matrixComparison of deep learning softwareComparison of machine learning softwareComparison of numerical analysis softwareComparison of statistical packagesComplete orthogonal decompositionComputer algebra systemComputer-based mathematics educationConjugate gradient methodConvergent matrixDADiSPData Analytics LibraryDerivation of the conjugate gradient methodDiagonally dominant matrixDivide-and-conquer eigenvalue algorithmEigenvalue algorithmEISPACKEuler Mathematical ToolboxFEATool MultiphysicsFolded spectrum methodFortress (programming language)FreeFem++FreeMatFreivalds' algorithmFrontal solverGAUSS (software)Gauss–Seidel methodGeneralized minimal residual methodGenius (mathematics software)GetFEM++Givens rotationGmshGNU OctaveGotoBLASGretlGroovyLabHackathonHypreIDL (programming language)ILNumericsIncomplete Cholesky factorizationIncomplete LU factorizationInverse iterationIterative refinementJacobi eigenvalue algorithmJacobi methodJacobi rotationJulia (programming language)Kaczmarz methodKrylov subspaceLabPlotLabVIEWLanczos algorithmLAPACKLibrsbLINPACKLis (linear algebra library)List of computer algebra systemsList of educational softwareList of free and open-source software packagesList of free educational softwareList of information graphics softwareList of numerical librariesList of numerical-analysis softwareList of open-source software for mathematicsList of R software and toolsLOBPCGLU decompositionLU reductionMaple (software)Math Kernel LibraryMathcadMathematical softwareMATLABMatrix multiplication algorithmMatrix splittingMatrix-free methodsMaxima (software)MFEMMinimum degree algorithmMLABModified Richardson iterationMoFEM JosePHMojo (programming language)Moore–Penrose inverseMWorksNMathNumerical analysisNumerical linear algebraOpenBLASOpenFOAMOutline of financeOutline of softwarePerl Data LanguagePivot elementPottersWheelPower iterationPreconditionerProject JupyterPseudospectrumPython (programming language)QBladeQR algorithmQR decompositionR (programming language)Rayleigh quotient iterationRnn (software)ROCmRRQR factorizationSageMathSalome (software)SAS (software)SAS ViyaScicosLabScilabSciPySingular value decompositionSparse approximationSparse matrixSpeakeasy (computational environment)SPIKE algorithmStone's methodStrassen algorithmSuccessive over-relaxationTetGenTridiagonal matrix algorithmVisSimWeka (software)Wilkinson matrixWolfram MathematicaX10 (programming language)

External links (87)

archive.vector.org.uk/...

http://clojuratica.weebly.com/

docs.dyalog.com/...

http://hackage.haskell.org/package/mathlink

http://library.wolfram.com/

library.wolfram.com/...

http://perl-begin.org/topics/object-oriented/

reference.wolfram.com/...

http://rjython.r-forge.r-project.org/

sine.ni.com/...

support.sas.com/...

http://wiki.octave.org/Main_Page

http://wiki.octave.org/wiki.pl?CategoryExternal

http://wiki.octave.org/wiki.pl?OctaveFortran

http://wiki.octave.org/wiki.pl?OctavePerl

http://wiki.octave.org/wiki.pl?OctaveTcl

http://www.cpan.org/

www.cs.utah.edu/...

http://www.luaforlabview.com/

www.maplesoft.com/...

www.mathworks.com/...

http://www.mathworks.com/products/compiler/

http://www.mathworks.com/products/javabuilder/

http://www.mathworks.com/products/matlabxl/

http://www.mathworks.com/products/netbuilder/

http://www.mathworks.com/products/symbolic/

www.mathworks.com/...

http://www.ni.com/labview-tools-network/

http://www.ni.com/tutorial/5719/en/

http://www.ni.com/tutorial/8493/en/

http://www.ni.com/white-paper/7006/en/

http://www.ni.com/white-paper/8910/en/

http://www.perl.com/pub/1999/10/perltk/

http://www.perlmonks.org/?node_id=215299

http://www.perlmonks.org/?node_id=830663

www.sagemath.org/...

http://www.sagemath.org/download-packages.html

http://www.softintegration.com/docs/ch/numeric/

www.unisoftwareplus.com/...

www.wolfram.com/...

zone.ni.com/...

cran.r-project.org/...

https://cran.r-project.org/web/packages/

cran.r-project.org/...

forums.ni.com/...

https://github.com/symengine/symengine

https://julialang.org/

https://octave.sourceforge.net/index.html

https://rpy.sourceforge.net/index.html

scholar.google.com/...

userpages.umbc.edu/...

web.archive.org/...

https://wiki.python.org/moin/GuiProgramming

wiki.python.org/...

writings.stephenwolfram.com/...

www.gnu.org/...

www.google.com/...

www.jstor.org/...

www.mapleprimes.com/...

https://www.open.wolframcloud.com/

www.ptc.com/...

www.theverge.com/...

https://www.wolfram.com/mathematica/pricing/

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Comparison of numerical-analysis software

General

Operating system support

Language features

General

Operating-system support

See also

Comparison of numerical-analysis software

General

Operating system support

Language features

General

Operating-system support

See also

See Also

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