Numpy version 1.19.3 (previous to 1.19.myMatrixTools.py - constains few basic matrix manipulation and analysis functions for usage.main2.py - constains larger user-input of size N, matrix a and vector b.main.py - contains basic usage demonstration of jacobi_calc() or gauss_seidel_calc(), using a 3x3 matrix, and basic arguments.rel_diff, the relative difference between last 2.If max_iter is None, the default value will set as 200. max_iter, the maxim number of possible iterations to receive the most exact solution.Easy to use SciPy’s high level syntax makes it accessible and productive for programmers from any background or experience level. Enjoy the flexibility of Python with the speed of compiled code. If tolerance is None, the default value will set as 1e-16. Performant SciPy wraps highly-optimized implementations written in low-level languages like Fortran, C, and C++. tolerance, the desired limitation of tolerance of solution's anomaly.If x is None, the initial guess will bw determined as a vector of 0's. if b is None - the functions returns None. If a is None or NxM, where N != M - the functions returns None. a, the NxN matrix that the method is being performed on.The algorithms will terminate when the change in x is less than tolerance, or if max_iter iterations have been exceeded.įor each function: (jacobi_calc() or gauss_seidel_calc()) Jacobi & Gauss-Seidel Algorithms Using Python The following methods solve the line system of equations, Ax=b,using Jacobi OR Gauss-Seidel algorithms, starting from an initial guess, x0.
