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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. It may also be used as a batch-oriented language.
The GNU Scientific Library (GSL) is a numerical library for C and C++ programmers.
The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite.
A mathematical open source library written in C#/.Net, aiming to provide a self contained clean framework for symbolic algebraic and numerical / scientific computations.
The ATLAS (Automatically Tuned Linear Algebra Software) project is an ongoing research effort focusing on applying empirical techniques in order to provide portable performance. It provides C and Fortran77 interfaces to a portably efficient BLAS implementation, as well as a few routines from LAPACK.
(from the scilab homepage...)
Scilab is a scientific software package for numerical computations providing a powerful open computing environment for engineering and scientific applications.
Scilab is an open source software. Since 1994 it has
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been distributed freely along with the source code via the Internet. It is currently used in educational and industrial environments around the world. Scilab is now the responsibility of the Scilab Consortium, launched in May 2003. There are currently 25 members in Scilab Consortium. [Less]
Lib2geom (2Geom in private life) is a library developed for inkscape to provide a robust computational geometry framework. It is not a rendering library, instead concentrating on high level algorithms such as computing arc length.
An implementation of linear algebra numerical structures and methods for the CLR. NPack is unique in that it uses generics for matrix element definitions, and a set of matrix operations via an interface, allowing a CLR-based operations engine as well
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as the opportunity to use GPGPU-based operation engines. NPack was initially ported from Java Matrix Package (JAMA) by the US National Institute of Standards and Technology (which was a Java reinterpretation of LINPACK). [Less]
Perl module for handling of numbers with arbitrary many uncertainties. Does automatic error propagation and scientific rounding.
An extension for outputting the objects in LaTeX syntax is available.
XMDS is a code generator that integrates equations. You write them down in human readable form in a XML file, and it goes away and writes and compiles a C++ program that integrates those equations as fast as it can possibly be done in your architecture.
The Universal Java Matrix Package (UJMP) is an open source Java library that provides sparse and dense matrix classes, as well as a large number of calculations for linear algebra like matrix multiplication or matrix inverse. Operations like mean
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, correlation, standard deviation, replacement of missing values or mutual information are also supported.
Matrices can be imported from and exported to a large number of file formats, also linking to JDBC databases is supported. The Universal Java Matrix Package supports multidimensional matrices as well as generic matrices with a specified object type and can also handle very large matrices even when they do not fit into memory. [Less]
O2scl is an object-oriented library for numerics in C++ useful for solving, minimizing, differentiating, integrating, interpolating, fitting, and more. Classes operate on generic member functions and generic vector types. Includes classes from GSL and CERNLIB.
JMathLib is a system of mathematical functions designed to be used in evaluating complex expressions and display the results graphically. It can be used either interactively or to interpret script files. It works like Matlab, Octave, Freemat and Scilab.