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90 lines
3.0 KiB
Markdown
90 lines
3.0 KiB
Markdown
# numerical-methods
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### Repository with the purpose of helping the ones in need on their path to achieving the computer science numerical wisdom. Contains MATLAB/Octave (and Python/C++ soon) implementations of the algorithms.
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### Implemented algorithms
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#### Nonlinear Equations
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| | Matlab | Python | C++ |
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| --- | --- | --- | --- |
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| Bisection method| :octocat: | | |
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| Newton-Raphson method | :octocat: | | |
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| Secant method | :octocat: | | |
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#### Gaussian methods
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| |Matlab|Python|C++|
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|Gaussian elimination|:octocat:|||
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|Gaussian elimination with Partial Pivoting|:octocat:|||
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|Gaussian elimination with Scaled Partial Pivoting|:octocat:|||
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|Gaussian elimination with Total Pivoting|:octocat:|||
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#### LU Factorization methods
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| |Matlab|Python|C++|
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|Doolittle|:octocat:|||
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|Crout|:octocat:|||
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|Cholesky|:octocat:|||
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#### QR Factorization methods
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| |Matlab|Python|C++|
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|Givens|:octocat:|||
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|Gram-Schmidt|:octocat:|||
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|Householder|:octocat:|||
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#### Iterative methods
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| |Matlab|Python|C++|
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|Gauss-Seidel|:octocat:|||
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|Jacobi|:octocat:|||
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|Successive over-relaxation (SOR)|:octocat:|||
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#### Eigenvalues decomposition
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|Power method|:octocat:|||
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|Inverse Power method|:octocat:|||
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|Deflation method|:octocat:|||
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#### Ad-hoc algorithms
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| |Matlab|Python|C++|
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|Diagonally dominance|:octocat:|||
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|Positive definition|:octocat:|||
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|Triangular matrices evaluation|:octocat:|||
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|Gershgorin circles|:octocat:|||
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|Gauss-Jordan Matrix Inverse|:octocat:|||
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### Convention
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- Before starting working on something, check the "Pull requests" tab to see if there isn't anyone who's already doing the same thing!
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- Convention: The sources' names will start with a capital letter: "Crout", "Doolittle", "Householder", "Givens" etc.
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- Comment your sources!
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- Test your sources with several input cases: eye matrix, full matrix, triu matrix, tril matric, random matrix, small, big etc.
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- Use notation tags:
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- [NOTE] for related notes
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- [USES] for sources which use other sources that are in a different folder to suggest that the user should first copy the dependencies (sources needed) in the same folder for testing
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- before creating a Pull Request, it should look like this: [Householder](https://github.com/radusqrt/help-the-kids/blob/master/MN/Algoritmi/QR/Householder/Householder.m)
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### Python coding style
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https://github.com/google/yapf
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### Contributors
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This project exists thanks to all the people who <a href="https://github.com/radusqrt/numerical-methods/graphs/contributors">contribute</a>.
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-------------------------------------------------------------------------------------------------
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Other repositories that might be of interest:
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1. [Algorithm design repository](https://github.com/radusqrt/algorithm-design)
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2. [Computer Programming repository](https://github.com/radusqrt/computer-programming)
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