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the numerical capability of MATLAB with a spreadsheet-like interface

  • 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.[3]
  • 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 NeanderthalClojureCUDA, 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.
  • ELKI a software framework for development of data mining algorithms in Java.
  • GAUSS, a matrix programming language for mathematics and statistics.
  • GNU Data Language, a free compiler designed as a drop-in replacement for IDL.
  • IDL, a commercial interpreted language based on FORTRAN with some vectorization. Widely used in the solar physicsfusionatmospheric sciences and medical communities. The GNU Data Language is a free alternative.
  • ILNumerics.Net, a C# math library that brings numeric computing functions for science, engineering and financial analysis to the .NET Framework.
  • KPP generates Fortran 90FORTRAN 77C, or Matlab code for the integration of ordinary differential equations (ODEs) resulting from chemical reaction mechanisms.
  • Madagascar, an open-source software package for multidimensional data analysis and reproducible computational experiments.
  • mlpack is an open-source library for machine learning, providing a simple and consistent API, while exploiting C++ language features to provide maximum performance and flexibility