The following tables provide a comparison of numerical analysis software.
| Creator | Development started | First public release | data-sort-type="number" | Latest stable version | Stable release date | data-sort-type="currency" | 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 | data-sort-value="2001-10-01" | 7.5.1 | Proprietary | C/C++ based numerical computing and graphical plotting[1] | |||||
| 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 | 18.0 | 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 | 2019 (12.0.x) | 2018 | Proprietary | Dynamic, interactive 2D/3D diagrams, programmable, 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. | ||||
| 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 | 1.9.4 | MIT License | A fast,[2] [3] [4] high-level numerical computing language.[5] | ||||
| 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[6] | ||||
| Maple | Maplesoft | 1980 | 1982 | Proprietary | Mainly a computer algebra system | |||||
| Mathcad | Parametric Technology Corporation | 1985 | 1986 | 15.0; Prime 4.0[7] | Proprietary | |||||
| Mathematica | Wolfram Research | 1986 | 1988 | Proprietary | Also computer algebra system | |||||
| MATLAB | MathWorks | data-sort-value="1978" | late 1970s | 1984 | data-sort-value="9.12" | 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 | data-sort-value="1996" | 1996 | data-sort-value="1997" | 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.[8] | ||||
| R | R Foundation | 1997 | 1997 | 4.3.2 | 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.[9] | ||||
| 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 GroupWas:Inria | 1990 | 1994 | 2024.0.0 | 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. | data-sort-value="1978" | 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. | ||||
The operating systems the software can run on natively (without emulation).
Colors indicate features available as
| basic system abilities | |
| official or officially supported extensions and libraries | |
| third-party software components or not supported |
| 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 | 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 | H. Kutschbach | C#, PowerShell | 2007 | 1.3.14, August 2008 | Proprietary | aims .Net/mono, 2D/3D plottings (beta) | ||
| 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 |
The operating systems the software can run on natively (without emulation).