FlexPro is a program for data analysis and presentation of measurement data. It provides a rich Excel-like user interface and its built-in vector programming language FPScript has a syntax similar to MATLAB.
GNU Octave is a high-level language, primarily intended for numerical computations. It provides a convenient command-line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with MATLAB. The 4.0 and newer releases of Octave include a GUI. A number of independently developed Linux programs (Cantor, KAlgebra) also offer GUI front-ends to Octave. An active community provides technical support to users.
Jacket, A proprietary GPU Toolbox for MATLAB, enabling some MATLAB computations to be offloaded to the GPU for acceleration and data visualization purposes.
jLab, a research platform for building an open-source MATLAB-like environment in pure Java and Groovy. Currently supports interpreted j-Scripts (MATLAB-like) and compiled GroovySci (extension to Groovy) scripts that provides direct interfacing to Java code and scripting access to many popular Java scientific libraries (e.g. Weka and JSci) and application Wizards.
Julia (programming language) is a high-level dynamic language with a surface similarity to MATLAB. Packages such as DataFrames.jl are available.
LabVIEW offers both textual and graphical-programming approaches to numerical analysis. Its text-based programming language MathScript uses .m-file-script syntax providing some compatibility with MATLAB and its clones.
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 computations. 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.
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.
TK Solver is a mathematical modeling and problem-solving software system based on a declarative, rule-based language, commercialized by Universal Technical Systems, Inc.
Torch is a deep-learning library with support for manipulation, statistical analysis and presentation of Tensors.
XLfit, A plugin to Excel which provides curve-fitting and statistical analysis.
Macsyma, a general-purpose computer algebra system, which has a free GPL-licensed version called Maxima.
Maple, a general-purpose commercial mathematics software package.
Mathcad offers a WYSIWYG interface and the ability to generate publication-quality mathematical equations.
Mathematica offers numerical evaluation, optimization and visualization of a very wide range of numerical functions. It also includes a programming language and computer algebra capabilities.
PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions. PARI is also available as a C library to allow for faster computations.
SageMath is an open-source math software, with a unified Python interface which is available as a text interface or a graphical web-based one. Includes interfaces for open-source and proprietary general purpose CAS, and other numerical analysis programs, like PARI/GP, GAP, gnuplot, Magma, and Maple.
Speakeasy is an interactive numerical environment also featuring an interpreted programming language. Born in the mid '60s for matrix manipulation and still in continuous evolution, it pioneered the most common paradigms of this kind of tools, featuring dynamic typing of the structured data objects, dynamic allocation and garbage collection, operators overloading, dynamic linking of compiled or interpreted additional modules contributed by the community of the users and so on.
Trilinos is a collection of open-sourceobject-oriented libraries for use in scientific and engineering applications. Trilinos is based on scalable, parallel linear-algebra algorithms.
Baudline is a time-frequency browser for numerical signals analysis and scientific visualization.
COMSOL Multiphysics is a finite-element analysis, solver and simulation software / FEA Software package for various physics and engineering applications, especially coupled phenomena, or multiphysics.
Hermes is a C++ library of advanced adaptive finite element algorithms to solve PDEs and multiphysics coupled problems.
Fityk is a curve fitting and data-analysis program. Primarily used for peak fitting and analyzing peak data.
FlexPro is a commercial program for interactive and automated analysis and presentation of mainly measurement data. It supports many binary instrument data formats and has its own vectorized programming language.
IGOR Pro, a software package with emphasis on time series, image analysis, and curve fitting. It comes with its own programming language and can be used interactively.
LabPlot is a data analysis and visualization application built on the KDE Platform.
acslX is a software application for modeling and evaluating the performance of continuous systems described by time-dependent, nonlinear differential equations.
ADMB is a software suite for non-linear statistical modeling based on C++ which uses automatic differentiation.
AMPL is a mathematical modeling language for describing and solving high complexity problems for large-scale optimization.
Ch, a commercial C/C++-based interpreted language with computational array for scientific numerical computation and visualization.
APMonitor: APMonitor is a mathematical modeling language for describing and solving representations of physical systems in the form of differential and algebraic equations.
Armadillo is C++ template library for linear algebra; includes various decompositions, factorisations, and statistics functions; its syntax (API) is similar to MATLAB.
Clojure with numeric libraries Neanderthal, ClojureCUDA, and ClojureCL to call optimized matrix and linear algebra functions on CPU and GPU.
Julia is designed for cloud parallel scientific computing in mind on LLVM-based JIT as a backend. Lightweight “green” threading (coroutines). Direct calls of C functions from code (no wrappers or special APIs needed), support for Unicode. Powerful shell-like capabilities for managing other processes. Lisp-like macros and other metaprogramming facilities.
R is a widely used system with a focus on data manipulation and statistics which implements the S language. Many add-on packages are available (free software, GNUGPL license).
SAS, a system of software products for statistics. It includes SAS/IML, a matrix programming language.
VisSim is a visual block-diagram language for simulation of nonlinear dynamic systems and model-based embedded development. Its fast ODE engine supports real-time simulation of complex large-scale models. The highly efficient fixed-point code generator allows targeting of low-cost fixed-point embedded processors.