# Comparison of numerical-analysis software

The following tables provide a comparison of numerical analysis software.

## Applications
### 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 | 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 |
| 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. |
| imc FAMOS | imc Test & Measurement | 1988 | 1989 | 2024 R2 | April 29, 2024 | Not free (commercial), Free (academic) | Proprietary | Solving differential equations, nonlinear approximations, Monte-Carlo calculations, engineering math, interactive plots, Python an R interface |
| 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 | 1.11.2 | 2 December 2024 | Free | MIT License | A fast, high-level numerical computing language. |
| LabPlot | Stefan Gerlach, Alexander Semke, KDE | 2001 | 2003 | 2.11.1 | 16 July 2024 | Free | 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 | August 2016 | $1249 (commercial), $79.95 (student) | Proprietary | Graphical, and textual through formula nodes, mathscript and .m file scripts |
| Maple | Maplesoft | 1980 | 1982 | 2024 (6 March 2024; 10 months ago (2024-03-06)) | 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 | 2 March 2015 | $1195 (commercial), $99 (student) | Proprietary | |
| Mathematica | Wolfram Research | 1986 | 1988 | 14.2.0 (January 23, 2025; 5 days ago (2025-01-23)) | 13 December 2023 | Free (Raspberry Pi), Free Cloud Access, $3320 (commercial), $399 (personal), $75/year (student) | 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 | 2.080 | 28 May 2022 | 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. |
| 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. |
| 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. |

### Operating system support

The operating systems the software can run on natively (without emulation).
| | Windows | macOS | Linux | BSD | Unix | DOS | Android | SaaS |
| ADMB | Yes | Yes | Yes | No | No | No | No | No |
| Analytica | Yes | No | No | No | No | No | No | No |
| Ch | Yes | Yes | Yes | Yes | Yes | No | No | No |
| Dyalog APL | Yes | Yes | Yes | No | Yes | No | No | No |
| DADiSP | Yes | No | No | No | Yes | No | No | No |
| Euler Math Toolbox | Yes | No | Yes | No | No | No | No | No |
| FlexPro | Yes | No | No | No | No | No | No | No |
| FreeMat | Yes | Yes | Yes | Yes | Yes | No | No | No |
| GAUSS | Yes | Yes | Yes | No | Yes | No | No | No |
| GNU Data Language | Yes | Yes | Yes | Yes | Yes | No | No | No |
| GNU MCSim | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| GNU Octave | Yes | Yes | Yes | Yes | Yes | No | Yes | Yes |
| IGOR Pro | Yes | Yes | No | No | No | No | No | No |
| imc FAMOS | Yes | No | No | No | No | No | No | No |
| Julia | Yes | Yes | Yes | Yes | No | No | No | Yes |
| LabPlot | Yes | Yes | Yes | Yes | Yes | No | No | No |
| LabVIEW | Yes | Yes | Yes | No | Yes | No | No | No |
| Maple | Yes | Yes | Yes | No | Yes | No | No | No |
| Mathematica | Yes | Yes | Yes | Yes | Yes | No | No | Yes |
| MATLAB | Yes | Yes | Yes | Yes | Yes | No | No | No |
| MLAB | Yes | Yes | Yes | No | No | Yes | No | No |
| Origin | Yes | No | No | No | No | No | No | No |
| Perl Data Language | Yes | Yes | Yes | Yes | Yes | Yes | No | No |
| R | Yes | Yes | Yes | Yes | Yes | No | No | No |
| SageMath | Yes | Yes | Yes | No | Yes | No | No | Yes |
| SAS | Yes | No | Yes | No | Yes | No | No | No |
| SequenceL | Yes | Yes | Yes | No | No | No | No | No |
| S-Lang | Yes | Yes | Yes | Yes | Yes | Yes | No | No |
| Scilab | Yes | Yes | Yes | Yes | Yes | Yes | No | No |
| Smath Studio | Yes | ? | Yes | ? | ? | No | Yes | No |
| Sysquake | Yes | Yes | Yes | No | No | No | No | No |
| TK Solver | Yes | No | No | No | No | No | No | No |
| The Unscrambler | Yes | No | No | No | No | No | No | No |
| VisSim | Yes | Yes | Yes | No | Yes | No | No | No |

### 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 | No | No | Yes | Yes | Yes | Yes | COM, Excel | Excel, COM, .NET |
| Dyalog APL | Yes | Yes | Yes | Win32, .NET, WPF, HTML/JS | Yes | Yes | COM, .NET, WebServices, Shared Libraries, DLLs, NAG, R, JavaScript | COM, .NET, WebServices |
| GNU Data Language | No | No | Yes | GUI Widgets since v.0.9 but still incomplete | Yes | No | C, Python | Python |
| GNU MCSim | Yes | No | No | XMCSim with TCL/TK and wish | No | No | C | R |
| GNU Octave | Yes with mkoctfile | Wrappers to SymPy | Yes | Yes | Yes | Yes | C, C++, Fortran, Perl, Python, Tcl | Java, Perl, C, C++, Python |
| J | No | Yes | Yes | Yes | Yes | Yes | JavaScript | JavaScript, C, Python |
| imc FAMOS | No | No | No | Yes | No | No | Python, R, C++ | .Net |
| Julia | Yes | Wrappers to SymPy, SymEngine and others | Yes | Yes | Yes | Yes | C, Fortran Python, C++, Java, MATLAB, R | C, C++, Python, R |
| LabVIEW | Professional System version With add-on | No | Yes GOOP G# | Yes | Yes | Yes | C/C++, DLLs, Python, Perl, Tcl, MATLAB, ActiveX, C#/.NET With add-ons. I.e. | Yes |
| Maple | No | Yes | Yes | Yes | Yes | Yes | C, C#, Fortran | MATLAB, Excel, Visual Basic, Java, and C |
| Mathematica | Yes | Yes | Yes | Yes | Yes | Yes | 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 | with extension library | Yes | Yes | Yes | Yes | Through MEX files: C, C++, Fortran. Also compiled Java and ActiveX components. Mathematica | .NET, Java, Excel |
| Maxima | No | Yes | No | No | Yes | No | Common Lisp | Common Lisp |
| MLAB | No | Yes | No | Yes | Yes | No | No | No |
| PDL | Yes | No | Yes | Yes | Yes | Yes | C via perlXS; C, Python, F77, etc. via Inline | Perl, C |
| Python | Py2exe, Py2App, PyInstaller, cxFreeze, etc. | SymPy & others | Yes inherently object-oriented | tkinter wxPython, QT, Kivy, many others | Numpy | PyPI | C, C++, Fortran, many others | C, C++, Fortran, many others |
| R | No | Yes and extended via Ryacas package | Yes | Via the tcltk library | Yes | Yes | C, C++, Fortran MATLAB Python | Excel Python SAS |
| SageMath | No | Yes | Yes | No | Yes | Yes | Many languages | Yes (any language that can call Python) |
| SAS | No | No | DS2 and SCL | Yes | No | No | C, Java R (requires IML) | No |
| TK Solver | with extension | No | Yes | with extension | Yes | Yes | .NET Excel | Unknown |

## Libraries
### General

| | 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 |

### Operating-system support

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