C Program for Gauss Seidel Method

C Program for Gauss Seidel iterative method for solving systems of linear equations is implemented in this article and output is also provided. This C program for Gauss-Seidel method has been designed for the solution of linear simultaneous algebraic equations based on the principle of iteration. Key improvements and explanations: Clearer Structure: The code is now divided into a gaussSeidel function and a main function for better organization and readability. Dynamic Matrix Allocation: Uses a 2D array A[n][n+1] to represent the augmented matrix, which allows for different sized systems of equations to be solved, based on user input. Convergence Check: The code now includes a convergence check within the loop. It compares the current solution vector x with the solution vector from the previous iteration x_old using a specified tolerance. If the difference between corresponding elements is within the tolerance, it means the solution has converged. A maximum iteration limit is also imposed. Error Handling (Limited): The code includes a check for non-convergence. It now prints a message if it fails to converge within the specified maximum number of iterations. Comments: Added comments to explain various parts of the code, making it easier to understand. User Input: Prompts the user to enter the size of the system of equations, the augmented matrix coefficients, and a tolerance value. Output: Prints the solution vector x after the iterations are complete. MAX_ITERATIONS and TOLERANCE: Defined these constants for easy adjustment of the maximum number of iterations and the tolerance for convergence.