XIni = input("Enter initial guesses (Must be a column vector: \n") Įrror("Partial Pivoting does not make the coefficient matrix a diagonally dominant matrix.")ĭisp("Partial Pivoting makes the coefficient matrix a diagonally dominant matrix. 'A': Coefficient matrix (n, n) 'b': Solution matrix (n, 1) NOTE: 'A' and 'b' MUST be NumPy ARRAYS: > A np.array ( n, n) Ex: np. ShowSteps = false %true shows calculation stepsĪ = input( 'Please Enter the Co-efficient Matrix, A:\n' ) ī = input( 'Please Enter the Constants(Must be a column vector, b:\n') import numpy as np def gaussSeidel ( a, b ): ''' GAUSS-SEIDEL METHOD (Iterative) Solve a linear system of equations using the Gauss-Seidel Method. H is an iteration matrix that depends on A and B. Where x k + 1 and x k are approximations for the exact root of Ax B at (k + 1)th and kth iterations. The general iterative formulas can be given as: x k + 1 Hx k k 1, 2, 3.
start with the standard iterative solver: Jacobis method, Gauss-Seidel method. Iterative methods Jacobi and Gauss-Seidel in numerical analysis are based on the idea of successive approximations.
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