Software:List of numerical libraries
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This is a list of numerical libraries, which are libraries used in software development for performing numerical calculations. It is not a complete listing but is instead a list of numerical libraries with articles on Wikipedia, with few exceptions.
The choice of a typical library depends on a range of requirements such as: desired features (e.g. large dimensional linear algebra, parallel computation, partial differential equations), licensing, readability of API, portability or platform/compiler dependence (e.g. Linux, Windows, Visual C++, GCC), performance, ease-of-use, continued support from developers, standard compliance, specialized optimization in code for specific application scenarios or even the size of the code-base to be installed.
Multi-language
C
C++
Delphi
- ALGLIB - an open source numerical analysis library.
.NET Framework languages C#, F#, VB.NET and PowerShell
Fortran
Java
Perl
- Perl Data Language gives standard Perl the ability to compactly store and speedily manipulate the large N-dimensional data arrays.[10] It can perform complex and matrix maths, and has interfaces for the GNU Scientific Library, LINPACK, PROJ, and plotting with PGPLOT. There are libraries on CPAN adding support for the linear algebra library LAPACK,[11] the Fourier transform library FFTW,[12] and plotting with gnuplot,[13] and PLplot.[14]
Python
Others
- XNUMBERS – multi-precision floating-Point computing and numerical methods for Microsoft Excel.
- INTLAB – interval arithmetic library for MATLAB.[19][20][21][22]
See also
- List of computer algebra systems
- Comparison of numerical-analysis software
- List of information graphics software
- List of numerical-analysis software
- List of optimization software
- List of statistical software
References
- ↑ Sanderson, C., & Curtin, R. (2016). Armadillo: a template-based C++ library for linear algebra. Journal of Open Source Software, 1(2), 26.
- ↑ David Ramel (2018-05-08). "Open Source, Cross-Platform ML.NET Simplifies Machine Learning -- Visual Studio Magazine". Visual Studio Magazine. https://visualstudiomagazine.com/articles/2018/05/08/ml-net-framework.aspx.
- ↑ Kareem Anderson (2017-05-09). "Microsoft debuts ML.NET cross-platform machine learning framework". On MSFT. https://www.onmsft.com/news/microsoft-debuts-ml-net-cross-platform-machine-learning-framework.
- ↑ Smith, B. T., Boyle, J. M., Garbow, B. S., Ikebe, Y., Klema, V. C., & Moler, C. B. (2013). Matrix eigensystem routines-EISPACK guide (Vol. 6). Springer.
- ↑ Anderson, E., Bai, Z., Bischof, C., Blackford, S., Dongarra, J., Du Croz, J., ... & Sorensen, D. (1999). LAPACK Users' guide (Vol. 9). SIAM.
- ↑ Demmel, J. (1989, December). LAPACK: A portable linear algebra library for supercomputers. In IEEE Control Systems Society Workshop on Computer-Aided Control System Design (pp. 1-7). IEEE.
- ↑ Dongarra, J. J., Moler, C. B., Bunch, J. R., & Stewart, G. W. (1979). LINPACK users' guide. Society for Industrial and Applied Mathematics.
- ↑ Dongarra, J. J., Luszczek, P., & Petitet, A. (2003). The LINPACK benchmark: past, present and future. Concurrency and Computation: practice and experience, 15(9), 803-820.
- ↑ Dongarra, J. J. (1987, June). The LINPACK benchmark: An explanation. In International Conference on Supercomputing (pp. 456-474). Springer, Berlin, Heidelberg.
- ↑ "Perl Data Language - metacpan.org". July 26, 2021. https://metacpan.org/release/PDL.
- ↑ "PDL::LinearAlgebra - Linear Algebra utils for PDL - metacpan.org". July 26, 2021. https://metacpan.org/dist/PDL-LinearAlgebra.
- ↑ "PDL::FFTW3 - PDL interface to the Fastest Fourier Transform in the West - metacpan.org". July 26, 2021. https://metacpan.org/dist/PDL-FFTW3.
- ↑ "PDL::Graphics::Gnuplot - Gnuplot-based plotting for PDL - metacpan.org". July 26, 2021. https://metacpan.org/dist/PDL-Graphics-Gnuplot.
- ↑ "PDL::Graphics::PLplot - Object-oriented interface from perl/PDL to the PLPLOT plotting library - metacpan.org". July 26, 2021. https://metacpan.org/dist/PDL-Graphics-PLplot.
- ↑ Zimmermann, P., Casamayou, A., Cohen, N., Connan, G., Dumont, T., Fousse, L., ... & Bray, E. (2018). Computational Mathematics with SageMath. SIAM.
- ↑ Jones, E., Oliphant, T., & Peterson, P. (2001). SciPy: Open source scientific tools for Python.
- ↑ Bressert, E. (2012). SciPy and NumPy: an overview for developers. " O'Reilly Media, Inc.".
- ↑ Blanco-Silva, F. J. (2013). Learning SciPy for numerical and scientific computing. Packt Publishing Ltd.
- ↑ S.M. Rump: INTLAB – INTerval LABoratory. In Tibor Csendes, editor, Developments in Reliable Computing, pages 77–104. Kluwer Academic Publishers, Dordrecht, 1999.
- ↑ Moore, R. E., Kearfott, R. B., & Cloud, M. J. (2009). Introduction to Interval Analysis. Society for Industrial and Applied Mathematics.
- ↑ Rump, S. M. (2010). Verification methods: Rigorous results using floating-point arithmetic. Acta Numerica, 19, 287–449.
- ↑ Hargreaves, G. I. (2002). Interval analysis in MATLAB. Numerical Algorithms, (2009.1).
External links
- The Math Forum - Math Libraries, an extensive list of mathematical libraries with short descriptions
ja:数値解析ソフトウェア
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