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Numerical-Computation

This repository houses successfully complete Python code which implements several numerical algorithms as functions. These include the following:

  • some generic matrix manipulation functions

  • Newton Raphson - solving non-linear equations

  • Divided Differences

  • second derivative test

  • Jacobian

  • Gauss Siedel - with and without relaxation

  • Gaussian Elimination using

    • Tridiagonal LU decomposition
    • LU decomposition
    • Partial Pivoting

    NOTE: be aware as to the mechanism of row swapping when pivoting. Different approaches are taken at different sources