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
Newton-Raphson method
Secant method

Gaussian methods

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

LU Factorization methods

	Matlab	Python	C++
Doolittle
Crout
Cholesky

QR Factorization methods

	Matlab	Python	C++
Givens
Gram-Schmidt
Householder

Iterative methods

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

Eigenvalues decomposition

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

Ad-hoc algorithms

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

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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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