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