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automated experiments and processes

LAPACK provides Fortran 90 routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems and the associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, and generalized Schur).
MATLAB is a widely used proprietary software for performing numerical calculations. It comes with its own programming language, in which numerical algorithms can be implemented.
GNU MCSim a simulation and numerical integration package, with fast Monte Carlo and Markov chain Monte Carlo capabilities.
ML.NET is a free-software machine-learning library for the C# programming language.[1][2]
NAG Library is an extensive software library of highly optimized numerical-analysis routines for various programming environments.
pandas is an open-source BSD-licensed library providing data structures and data analysis tools for the Python programming language.
Perl Data Language provides large multidimensional arrays for the Perl programming language, and utilities for image processing and graphical plotting.
Plotly – Plotting library, Python command line, and graphical interface for analyzing data and creating browser-based graphs. Available for R, Python, MATLAB, Julia, and Perl.
Rlab is another free-software computer program which bears a strong resemblance to MATLAB. Rlab development ceased for several years but it was revived as RlabPlus.
ScaLAPACK is a library of high-performance linear algebra routines for parallel distributed-memory machines that features functionality similar to LAPACK (solvers for dense and banded linear systems, least-squares problems, eigenvalue problems, and singular-value problem).
Scilab is advanced numerical analysis package similar to MATLAB or Octave. Comes with a complete GUI and Xcos which is alternative to Simulink. (free software, GPL-compatible CeCILL license)
Sysquake is a computing environment with interactive graphics for mathematics, physics and engineering. Like other applications from Calerga, it is based on a MATLAB-compatible language.