Consider the linear system of equations Ax=b, where A Rx, xERx1, and b Rx....

Transcribed Image Text:

Consider the linear system of equations Ax=b, where A € R"x", xER"x1, and b € Rx¹. [2+d -1 -1 0 0 -1 0 -1 -1 2+d --0 b h = 0.1 and d = 1. Write a MATLAB program to solve the linear system Ax = b for n = methods: 10² and n = 10³ with the following Gauss Siedel iterations. Use the convergence criterion of r()|| < 10-6. Plot the convergence history (residual versus iterations) of both methods in one figure and legend accordingly. Use semilogy for your plots. Explain your results. You can generate the above matrix in MATLAB using A = full (gallery ('tridiag', n, -1, 2+d, -1) /h²). Consider the linear system of equations Ax=b, where A € R"x", xER"x1, and b € Rx¹. [2+d -1 -1 0 0 -1 0 -1 -1 2+d --0 b h = 0.1 and d = 1. Write a MATLAB program to solve the linear system Ax = b for n = methods: 10² and n = 10³ with the following Gauss Siedel iterations. Use the convergence criterion of r()|| < 10-6. Plot the convergence history (residual versus iterations) of both methods in one figure and legend accordingly. Use semilogy for your plots. Explain your results. You can generate the above matrix in MATLAB using A = full (gallery ('tridiag', n, -1, 2+d, -1) /h²). Consider the linear system of equations Ax=b, where A € R"x", xER"x1, and b € Rx¹. [2+d -1 -1 0 0 -1 0 -1 -1 2+d --0 b h = 0.1 and d = 1. Write a MATLAB program to solve the linear system Ax = b for n = methods: 10² and n = 10³ with the following Gauss Siedel iterations. Use the convergence criterion of r()|| < 10-6. Plot the convergence history (residual versus iterations) of both methods in one figure and legend accordingly. Use semilogy for your plots. Explain your results. You can generate the above matrix in MATLAB using A = full (gallery ('tridiag', n, -1, 2+d, -1) /h²). Consider the linear system of equations Ax=b, where A € R"x", xER"x1, and b € Rx¹. [2+d -1 -1 0 0 -1 0 -1 -1 2+d --0 b h = 0.1 and d = 1. Write a MATLAB program to solve the linear system Ax = b for n = methods: 10² and n = 10³ with the following Gauss Siedel iterations. Use the convergence criterion of r()|| < 10-6. Plot the convergence history (residual versus iterations) of both methods in one figure and legend accordingly. Use semilogy for your plots. Explain your results. You can generate the above matrix in MATLAB using A = full (gallery ('tridiag', n, -1, 2+d, -1) /h²).

Answer rating: 100% (QA)

Certainly You are tasked with solving the linear system of equations Ax b using GaussSeidel iterations in MATLAB for two different sizes of the matrix ... View the full answer