WUT_Computer_Science/ENUME/references/numerical-methods

numerical-methods

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.

Implemented algorithms

Nonlinear Equations

	Matlab	Python	C++
Bisection method	:octocat:
Newton-Raphson method	:octocat:
Secant method	:octocat:

Gaussian methods

	Matlab	Python	C++
Gaussian elimination	:octocat:
Gaussian elimination with Partial Pivoting	:octocat:
Gaussian elimination with Scaled Partial Pivoting	:octocat:
Gaussian elimination with Total Pivoting	:octocat:

LU Factorization methods

	Matlab	Python	C++
Doolittle	:octocat:
Crout	:octocat:
Cholesky	:octocat:

QR Factorization methods

	Matlab	Python	C++
Givens	:octocat:
Gram-Schmidt	:octocat:
Householder	:octocat:

Iterative methods

	Matlab	Python	C++
Gauss-Seidel	:octocat:
Jacobi	:octocat:
Successive over-relaxation (SOR)	:octocat:

Eigenvalues decomposition

	Matlab	Python	C++
Power method	:octocat:
Inverse Power method	:octocat:
Deflation method	:octocat:

Ad-hoc algorithms

	Matlab	Python	C++
Diagonally dominance	:octocat:
Positive definition	:octocat:
Triangular matrices evaluation	:octocat:
Gershgorin circles	:octocat:
Gauss-Jordan Matrix Inverse	:octocat:

Convention

• Before starting working on something, check the "Pull requests" tab to see if there isn't anyone who's already doing the same thing!
• Convention: The sources' names will start with a capital letter: "Crout", "Doolittle", "Householder", "Givens" etc.
• Comment your sources!
• Test your sources with several input cases: eye matrix, full matrix, triu matrix, tril matric, random matrix, small, big etc.
• Use notation tags:
  • [NOTE] for related notes
  • [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
• before creating a Pull Request, it should look like this: Householder

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Python coding style

https://github.com/google/yapf

Contributors

This project exists thanks to all the people who contribute.

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Other repositories that might be of interest:

1. Algorithm design repository
2. Computer Programming repository