Comparison_of_numerical_analysis_software

Comparison of numerical-analysis software

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The following tables provide a comparison of numerical analysis software.

Applications

General

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	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	December 23, 2022	Free	BSD 3-clause (aka new)	Automatic differentiation makes it well suited to complex minimization problems
Analytica	Lumina Decision Systems	1982 (Demos)		4.6	May 2015	Free (Analytica Free 101), $995 (professional), $2795 (enterprise)	Proprietary	A numerical modeling environment with a declarative and visual programming language based on influence diagrams.
Ch	SoftIntegration		1 October 2001	7.5.1	2 December 2015	$399 (commercial), $199 (academic), Free (student)	Proprietary	C/C++ based numerical computing and graphical plotting^[1]
DADiSP	DSP Development	1984	1987	6.7 B02	17 January 2017	$1995 (commercial), $129 (academic), Free (student)	Proprietary	Numeric computations for science and engineering featuring a spreadsheet like interface.
Dyalog APL	Dyalog Ltd.	1981	1983	18.0	10 June 2020	Not free (commercial), Free (non-commercial)	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	10 February 2022	Free	GPL	Also a computer algebra system through interface with Maxima
Fityk	Marcin Wojdyr		2002	1.3.1	19 December 2016	$115 (1.x binaries), Free (source code and 0.x binaries)	GPL	interactive graphics, scriptable, specialized in curve fitting and peak fitting, 2D only
FlexPro	Weisang GmbH	n/a	1991	2019 (12.0.x)	2018	Not free (commercial), Free (academic)	Proprietary	Dynamic, interactive 2D/3D diagrams, programmable, VBA, high performances, multicore compatible, large data sets.
FreeMat	Samit Basu		2004	4.2	30 June 2013	Free	GPL	Codeless interface to external C, C++, and Fortran code. Mostly compatible with MATLAB.
GAUSS	Aptech Systems		1984	21	8 December 2020	Not free	Proprietary
GNU Data Language	Marc Schellens		2004	1.0.2	15 January 2023	Free	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	3 March 2015	Not free	Proprietary	Primarily for statistics
GNU MCSim	Frederic Y. Bois & Don Maszle	1991	1993	6.0.0	24 February 2018	Free	GPL	General simulation and Monte Carlo sampling software
GNU Octave	John W. Eaton	1988	1993	7.3.0	2 November 2022	Free	GPL	General numerical computing package with many extension modules. Syntax mostly compatible with MATLAB
IGOR Pro	WaveMetrics	1986	1988	8.00	May 22, 2018	$995 (commercial) $225 upgrade, $499 (academic) $175 upgrade, $85 (student)	Proprietary	interactive graphics, programmable, 2D/3D, used for science and engineering, large data sets.
J	Jsoftware	1989	1990	J9.5.1	20 December 2023	Free	GPL	online access to: J Application Library (JAL)
Julia	Jeff Bezanson, Stefan Karpinski, Viral B. Shah, Alan Edelman	2009	2012	1.9.4	10 November 2023	Free	MIT License	A fast,^[2]^[3]^[4] high-level numerical computing language. ^{[Note 1]}
LabPlot	Stefan Gerlach, Alexander Semke, KDE	2001	2003	2.10.0	21 March 2023	Free	GPL	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	August 2016	$1249 (commercial), $79.95 (student)	Proprietary	Graphical, and textual through formula nodes, mathscript and .m file scripts^[5]
Maple	Maplesoft	1980	1982	2024 (6 March 2024; 2 months ago (2024-03-06)) [±]^[6]	14 March 2019	$2390 (commercial), $239 (personal), $99 (student)	Proprietary	Mainly a computer algebra system
Mathcad	Parametric Technology Corporation	1985	1986	15.0; Prime 4.0^[7]	2 March 2015	$1195 (commercial), $99 (student)	Proprietary
Mathematica	Wolfram Research	1986	1988	14.0.0 (January 9, 2024; 4 months ago (2024-01-09)) [±]^[8]	13 December 2023	Free (Raspberry Pi^[9]), Free Cloud Access, $3320 (commercial), $399 (personal), $75/year (student)^[10]	Proprietary	Also computer algebra system
MATLAB	MathWorks	late 1970s	1984	9.12 (R2022a)	15 March 2022	$2150 (standard), $500 (education), $149 (home), $49 (student)	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	31 May 2023	Free	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	2015	$2250 (standard), $50 (student)	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	24 April 2019	$1095 (std.)/$1800 (Pro) $550 (std., academic) $850 (Pro, academic) $69/yr. (Pro, student)	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	2019	5 May 2018	Free	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	6 November 2018	Free	GPL v.3 or later	FOSS statistics program, intended as an alternative to IBM SPSS Statistics. ^{[Note 2]}
R	R Foundation	1997	1997	4.3.2	31 October 2023	Free	GPL	Primarily for statistics, but there are many interfaces to open-source numerical software
SageMath	William Stein		2005	10.2	3 December 2023	Free	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	10 July 2014	Not free	Proprietary	Mainly for statistics
SequenceL	Texas Multicore Technologies	1989	2012	2.4	10 February 2016	Free (Community Edition), $2495 (Professional Edition)	Proprietary	Functional programming language and tools. ^{[Note 3]}
S-Lang	John E. Davis		1992	2.3.0	18 September 2014	Free	GPL, Artistic License (1.x only)	Available as a standalone (slsh) and embedded interpreter (jed, slrn, ...)
Scilab	ESI Group Was:Inria	1990	1994	2024.0.0	24 October 2023	Free	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	11 September 2022	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	December 2019	free, $2500 (Pro, commercial), $1000 (Pro, academic)	Proprietary	interactive graphics
TK Solver	Universal Technical Systems, Inc.	late 1970s	1982	6.0.152	2020	$599 commercial, $49 (student)	Proprietary	Numerical computation and rule-based application development
VisSim	Visual Solutions		1989	10.1	January 2011	$495-$2800 (commercial) free view-only version $50-$250/free v3.0 (academic)	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	January 2015	Free	GPL	Programmable, callable 2D+3D plotting. Language syntax similar to C. Interfacing to other software packages via C calls.

Libraries

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[5] [N 1]
Julia allows direct calls of C functions (no wrappers needed). Designed for cloud parallel computing with LLVM just-in-time compilation (JIT) as a backend. Lightweight "green" threading (coroutines). Efficient support for Unicode. Shell-like abilities to manage other processes. Lisp-like macros and other metaprogramming facilities.

[12] [N 2]
Abilities of PSPP include analysis of sampled data, frequencies, cross-tabs comparison of means (t-tests and one-way ANOVA); linear regression, logistic regression, reliability (Cronbach's Alpha, not failure or Weibull), and re-ordering data, non-parametric tests, factor analysis, cluster analysis, principal components analysis, chi-square analysis and more.

[13] [N 3]
SequenceL delivers high performance on multicore hardware with ease of programming, and code clarity/readability. Designed to work with other languages, including C, C++, C#, Java, Fortran, Python, etc. Can be compiled to multithreaded C++ (and optionally OpenCL) code with no explicit indications from the programmer of how or what to parallelize. A platform-specific runtime manages the threads safely.

[once-14] [N 4]
Once was supported

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"PTC Mathcad Prime 4.0 | PTC". Retrieved August 12, 2018.

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Mathematica License Pricing Options Wolfram.com, February 2024

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"Dyalog APL Users Guide" (PDF).

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"An Introduction to Object Oriented Programming for APL programmers".

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"Dyalog APL Interface Guide" (PDF).

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"GNU Octave: Object Oriented Programming". Retrieved May 18, 2011.

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"Octave-Forge". Retrieved May 18, 2011.

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"Octave Wiki: OctaveFortran". Archived from the original on July 17, 2012. Retrieved May 18, 2011.

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"Octave Wiki: OctavePerl". Archived from the original on December 22, 2005. Retrieved May 18, 2011.

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"Octave Wiki: OctaveTcl". Archived from the original on July 17, 2012. Retrieved May 18, 2011.

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"Octave Wiki: OctaveJava". Retrieved May 18, 2011.

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"Octave Wiki: CategoryExternal". Archived from the original on July 23, 2012. Retrieved May 18, 2011.

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National Instruments. "LabVIEW Application Builder". Retrieved April 3, 2017.

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National Instruments. "LabVIEW Object-Oriented Programming". Retrieved April 3, 2017.

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National Instruments. "NI GOOP Development Suite". Retrieved April 3, 2017.

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National Instruments. "G# Framework". Archived from the original on July 9, 2017. Retrieved April 3, 2017.

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National Instruments. "LabVIEW Tools Network". Retrieved April 3, 2017.

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National Instruments (January 18, 2010). "Calling External Code From LabVIEW". Retrieved April 3, 2017.

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National Instruments. "Call Perl and Python Scripts from LabVIEW". Retrieved April 3, 2017.

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National Instruments. "Introduction to Scripting in Perl, Python and Tcl". Retrieved April 3, 2017.

[33] [29]
"Lua for LabVIEW". Retrieved April 3, 2017.

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National Instruments. "Calling LabVIEW VIs from Other Programming Languages". Retrieved April 3, 2017.

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Maplesoft. "Object-Oriented Programming, Polymorphism, and More in Maple 9.5". Retrieved May 18, 2011.

[36] [32]
"Maple Application Center".

[37] [33]
"Maple: MATLAB Connectivity". Retrieved May 18, 2011.

[38] [34]
"Maple and Excel".

[39] [35]
Maplesoft. "OpenMaple API for VisualBasic and Java". Retrieved May 18, 2011.

[40] [36]
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Wolfram Research. "Mathematica Link for Excel 3.2". Retrieved May 18, 2011.

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[44] [40]
Haskell packages

[45] [41]
"Unisoftware plus". Archived from the original on July 17, 2011. Retrieved May 19, 2011.

[46] [42]
MrMathematica website

[47] [43]
Mathematica for ActivX

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"Clojuratica". clojuratica.weebly.com. 2013. Retrieved June 14, 2013.

[mathworks.com-49] [45]
"Mathematica Symbolic Toolbox for MATLAB--Version 2.0". Retrieved May 18, 2011.

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	Creator	Language	First public release	Latest stable version	Cost (USD)	License	Notes
ALGLIB	Sergey Bochkanov	C++, C#, Python, FreePascal	2006	3.19.0, June 2022	Dual licensed	GPL/commercial	General purpose numerical analysis library. Cross-platform (Windows, *nix).
Armadillo	NICTA	C++	2009	3.900, 2013	Free	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	Free	GPL	General purpose numerical analysis library. Targets Linux, can be built on almost any *nix OS with Ansi C compiler.
ILNumerics	H. Kutschbach	C#, PowerShell	2007	1.3.14, August 2008	Non-free	Proprietary	aims .Net/mono, 2D/3D plottings (beta)
IMSL Numerical Libraries	Rogue Wave Software	C, Java, C#, Fortran, Python	1970	many components	Not free	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	Free	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	Not free	Proprietary	General purpose numerical analysis library.
NMath	CenterSpace Software	C#	2003	6.2, March 2016	$995	Proprietary	Math and statistical libraries for .NET framework
SciPy	scipy.org community	Python	2001	1.5.3, 17 October 2020	Free	BSD	Adds numerical programming abilities to Python language. Related to NumPy, and thus connected to prior Numeric and Numarray packages for Python

	Windows	macOS	Linux	BSD	Unix	DOS	Android
ALGLIB	Yes	Yes	Yes	Yes	Yes	No	Yes
GNU Scientific Library	Yes	Yes	Yes	Yes	Yes	No	Yes
ILNumerics	Yes	Yes	Yes	Yes	Yes	No	No
IMSL Numerical Libraries	Yes	Yes	Yes	No	Yes	No	No
Math.NET Numerics	Yes	Yes	Yes	Yes	Yes	No	No
NAG Numerical Library	Yes	Yes	Yes	No	Yes	Yes	No
NMath	Yes	No	No	No	No	No	No
SciPy (Python packages)	Yes	Yes	Yes	Yes	Yes	Yes	Yes

Comparison_of_numerical_analysis_software

Comparison of numerical-analysis software

Applications

General

Operating system support

Language features

Libraries

General

Operating-system support

See also

Footnotes

References

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