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To be solved in Matlab Problem Description: system to a specified tolerance (approximate absolute percent relative error). If necessary, rearrange the equations to achieve convergence
To be solved in Matlab
Problem Description: system to a specified tolerance (approximate absolute percent relative error). If necessary, rearrange the equations to achieve convergence use the Gauss-Seidel method with relaxation to solve the following 10x1 + 2x2- x3 = 27 - - x1 + x2 + 5x3 =-21.5 -3X1-6X2 + 2X3 =-61.5 The relaxation parameter (A) should be an input parameter of your function. function x=GaussSeidel-Relax-Example(lambda, % Gauss-Seidel for a 3-by-3 linea r system of es) equations 2 | 41%--Input 5% lambda: relaxation parameter 6% es: error tolerance (approximate absolute percent relative error in solution) 7/% 8 %--Output 9% x: Gauss-Seidel linea r solution (3-by-1 vector) 10 11% Note: 1 . Use the Euclidian norm (i.e. 2-norm) to compute relative error 121 % 2. You may need to rearrange the linear equations to achieve diagonal dominance 13 141% write your code here Problem Description: system to a specified tolerance (approximate absolute percent relative error). If necessary, rearrange the equations to achieve convergence use the Gauss-Seidel method with relaxation to solve the following 10x1 + 2x2- x3 = 27 - - x1 + x2 + 5x3 =-21.5 -3X1-6X2 + 2X3 =-61.5 The relaxation parameter (A) should be an input parameter of your function. function x=GaussSeidel-Relax-Example(lambda, % Gauss-Seidel for a 3-by-3 linea r system of es) equations 2 | 41%--Input 5% lambda: relaxation parameter 6% es: error tolerance (approximate absolute percent relative error in solution) 7/% 8 %--Output 9% x: Gauss-Seidel linea r solution (3-by-1 vector) 10 11% Note: 1 . Use the Euclidian norm (i.e. 2-norm) to compute relative error 121 % 2. You may need to rearrange the linear equations to achieve diagonal dominance 13 141% write your code here
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