The following tables provide a comparison of numerical analysis software.
Creator  Development started  First public release  Latest stable version  Stable release date  Cost (USD)  License  Notes  

ADMB  David Fournier, ADMB Project  1989  1990  12.0  21 December 2017  Free  BSD 3clause (aka new) License  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  17.0  23 July 2018  £850/year or 2% royalty (free for noncommercial use)  Proprietary  A modern dialect of APL, enhanced with features for functional and objectoriented programming. 
Euler Math Toolbox  René Grothmann  1987  1988  20180921  21 September 2018  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  2017  2017  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  17  22 December 2016  Not free  Proprietary  
GNU Data Language  Marc Schellens  2004  0.9.7  21 January 2017  Free  GPL  Aimed as a dropin replacement for IDL/PVWAVE  
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  4.4.0  1 May 2018  Free  GPL  General numerical computing package with lots of extension modules. Syntax mostly compatible with MATLAB 
IGOR Pro  WaveMetrics  1986  1988  7.00  26 July 2016  $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  J806  12 November 2017  Free  GPL  online access to: J Application Library (JAL) 
Julia  Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and other^{[2]} contributors  2009  2012  1.0.2  8 November 2018  Free  MIT License  Direct calls of C functions (no wrappers needed). Designed for cloud parallel computing with LLVM JIT as a backend. Lightweight "green" threading (coroutines). Efficient support for Unicode. Shelllike capabilities for managing other processes. Lisplike macros and other metaprogramming facilities. 
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^{[3]} 
Maple  Maplesoft  1980  1982  2018  21 March 2018  $2275 (commercial) / $99 (student)  Proprietary  Mainly a computer algebra system 
Mathcad  Parametric Technology Corporation  1985  1986  15.0 ; Prime 4.0^{[4]}  2 March 2015  $1195 (commercial) / $99 (student)  Proprietary  
Mathematica  Wolfram Research  1986  1988  11.3.0 (March 8, 2018  ) ^{[5]}8 March 2018  Free (Raspberry Pi^{[6]}), Free Cloud Access, $2495 (commercial) / $145 (student) / $295 (personal)^{[7]}  Proprietary  Also computer algebra system 
MATLAB  MathWorks  late 1970s  1984  9.5 (R2018b)  12 September 2018  $2150 (standard) / $500 (education) / $149 (home) / $49 (student)  Proprietary  Numerical computation and simulation with extended 2D/3D visualization. 
Maxima  MIT Project MAC and Bill Schelter et al.  1967  1982  5.41.0  3 October 2017  Free  GPL  Mainly a computer algebra system 
MLAB  Civilized Software, Inc.  1970 (in SAIL), 1985 (in C)  1972 (on DEC10), 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 CurveFitting. Symbolic Differentiation, Survival Analysis, Cluster Analysis, 2D/3D Graphics. 
Origin  OriginLab  1991  2016  22 May 2017  $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 multilayer graphing framework. 2D, 3D and statistical graph types. Builtin digitizing tool. Analysis with auto recalculation and report generation. Builtin scripting and programming languages.  
Perl Data Language  Karl Glazebrook  1996  c. 1997  2.019  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  0.8.5  20 June 2015  Free  GPL v.3 or later  FOSS alternative to IBM SPSS. Analysis of sampled data, frequencies, crosstabs comparison of means (ttests and oneway ANOVA); linear regression, logistic regression, reliability (Cronbach's Alpha, not failure or Weibull), and reordering data, nonparametric tests, factor analysis, cluster analysis, principal components analysis, chisquare analysis and more 
R  R Foundation  1997  1997  3.3.2  31 October 2016  Free  GPL  Primarily for statistics, but there are many interfaces to opensource numerical software 
SageMath  William Stein  2005  8.4 (17 October 2018  ) ^{[8]}17 October 2018  Free  GPL  Programmable, includes computer algebra, 2D+3D plotting. Interfaces to many opensource and proprietary software. Web based interface HTTP or HTTPS  
SAS  Anthony Barr and James Goodnight  1966  1972  9.4  10 July 2014  Not free  Proprietary  
SequenceL  Texas Multicore Technologies  1989  2012  2.4  10 February 2016  Free (Community Edition), $2495 (Professional Edition)  Proprietary  Functional programming language and tools. 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 platformspecific runtime manages the threads safely. 
SLang  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  Scilab Enterprises Was:Inria  1990  1994  6.0.1  15 February 2018  Free  CeCILL license  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. 
SPSS  Normal H. Nie, Dale H. Bent, and C. Hadlai Hull  1968  23.0  3 March 2015  Not free  Proprietary  
Sysquake  Calerga  1998  5.0  2013  free / $2500 (Pro, commercial) / $1000 (Pro, academic)  Proprietary  interactive graphics  
TK Solver  Universal Technical Systems, Inc.  late 1970s  1982  5.0.141  2011  $399 commercial / $49 (student)  Proprietary  Numerical computation and rulebased 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. 
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^{[9]}  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  Yes  Yes  Yes 
IGOR Pro  Yes  Yes  No  No  No  No  No  No 
Julia  Yes  Yes  Yes  Yes  No  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 
SLang  Yes  Yes  Yes  Yes  Yes  Yes  No  No 
Scilab  Yes  Yes  Yes  Yes  Yes  Yes  No  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 
Colors indicate features available as
basic system capabilities 
official or officially supported extensions and libraries 
thirdparty software components or not supported 
Standalone executables creation support  Symbolic computation support  OOP support  GUI creation support  Multidimensional 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^{[10]}  Yes  Yes^{[11]}  Win32, .NET, WPF, HTML/JS  Yes  Yes  COM, .NET, WebServices, Shared Libraries, DLLs, NAG, R, JavaScript^{[12]}  COM, .NET, WebServices^{[12]}  
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  only with GiNaC extension  Yes^{[13]}  GUI Octave code can be used^{[14]}  Yes  Yes^{[15]}  C++, Fortran,^{[16]}Perl,^{[17]}Tcl^{[18]}  Java,^{[19]}Perl,^{[17]}C++^{[20]}  
J  No  Yes  Yes  Yes  Yes  Yes  JavaScript  JavaScript  
Julia  No  No  Yes  Yes  Yes  Yes  C/C++  
LabVIEW 

No 

Yes  Yes  Yes^{[25]}  Yes^{[30]}  
Maple  No  Yes  Yes^{[31]}  Yes  Yes  Yes^{[32]}  C, C#, Fortran  MATLAB,^{[33]}Excel,^{[34]}VisualBasic, Java, and C^{[35]}  
Mathematica  Yes^{[36]}  Yes  Yes  Yes  Yes  Yes^{[37]}  Java, .NET, C++, Fortran, CUDA, OpenCL, R, Python  
MATLAB  with extension^{[48]}  with extension library^{[49]}  Yes^{[50]}  Yes  Yes  Yes^{[51]}  .NET,^{[53]}Java,^{[54]}Excel^{[55]}  
MLAB  No  Yes  No  Yes  Yes  No  No  No  
PDL  Yes^{[56]}  No  Yes^{[57]}  Yes^{[58]}  Yes  Yes^{[59]}  C via perlXS; C, Python, F77, etc. via Inline  Perl, C^{[60]}  
R  No  Yes and extended via Ryacas package  Yes^{[61]}  Via the tcltk library  Yes  Yes^{[62]}  
SageMath  No  Yes  Yes  No  Yes  Yes^{[69]}  Many languages^{[70]}^{[71]}^{[72]}  Yes (any language that can call Python)  
SAS  No  No  DS2 and SCL  Yes  No  No  No  
TK Solver  with extension  No  Yes  with extension  Yes  Yes  .NET Excel  Unknown 
Creator  Language  First public release  Latest stable version  Cost (USD)  License  Notes  

ALGLIB  Sergey Bochkanov  C++, C#, FreePascal  2006  3.12.0 / August 2017  Dual licensed  GPL/commercial  General purpose numerical analysis library. Crossplatform (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  2.3 / December 2016  Free  GPL  General purpose numerical analysis library. Targets GNU/Linux, can be built on almost any *nix OS with Ansi C compiler. 
ILNumerics  H. Kutschbach  C#, PowerShell  2007  1.3.14 / August 2008  Nonfree  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  3.20 / July 2017  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 the .NET Framework 
SciPy  scipy.org community  Python  2001  1.0.0 / 25 October 2017  Free  BSD  Adds numerical programming capabilities to the Python programming language. Related to NumPy, and therefore connected to the previous Numeric and Numarray packages for Python 
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  No 