GNU Octave

GNU Octave is a high-level programming language primarily intended for numerical computations. It offers a powerful mathematics-oriented syntax with built-in 2D/3D plotting and visualization tools, making it ideal for scientific computing tasks. As a free software, it runs seamlessly on GNU/Linux, macOS, BSD, and Microsoft Windows, and is compatible with many Matlab scripts.

Users can solve systems of equations using linear algebra operations on vectors and matrices, and visualize data with high-level plot commands in both 2D and 3D. For instance:

b = [4; 9; 2] # Column vector
A = [ 3 4 5;
      1 3 1;
      3 5 9 ]
x = A \ b     # Solve the system Ax = b

GNU Octave can be extended with additional packages, enhancing its functionality. The community actively develops these packages, which can be found online.

For developers, Octave is free software licensed under the GNU General Public License. The latest development version can be accessed via Mercurial, ensuring you stay updated with the newest features and improvements.