Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

only using matlab solve questions 5,6 and 7 92 1 9|xi 3-6 13 2 11 2 3 35 1 0 2 8 4 9 2

only using matlab solve
questions 5,6 and 7
image text in transcribed
92 1 9|xi 3-6 13 2 11 2 3 35 1 0 2 8 4 9 2 5 0 1||*3 li 6 1 3 01 1. Find the solution analytically (you can use Matlab) 2. Write a Matlab code for finding the solution for the given linear system in iterative fashion using Gauss-Seidel and Jacobi methods using zero values for all the unknown variables as an initial guess. 3. For each method above, and for each variable, what is the total number of iterations required to reach an absolute approximate error of 1E-8 and what is the corresponding estimation value? 4. For each method above, and for each variable, plot the percent relative true error and the percent relative approximate error versus the number of iterations. 5. Comment on the relation between the errors from one iteration to the next for each variable you find and compare/comment on the expected/unexpected efficiency and results of both methods. 6. Repeat 2 to 5 with relaxation using 2 = 1.2 7. For the Gauss-Seidel method and for each variable, plot the percent relative approximate error versus the number of iterations for the cases with and without relaxation (for each variable one figure that has two curves one with and one without relaxation). 92 1 9|xi 3-6 13 2 11 2 3 35 1 0 2 8 4 9 2 5 0 1||*3 li 6 1 3 01 1. Find the solution analytically (you can use Matlab) 2. Write a Matlab code for finding the solution for the given linear system in iterative fashion using Gauss-Seidel and Jacobi methods using zero values for all the unknown variables as an initial guess. 3. For each method above, and for each variable, what is the total number of iterations required to reach an absolute approximate error of 1E-8 and what is the corresponding estimation value? 4. For each method above, and for each variable, plot the percent relative true error and the percent relative approximate error versus the number of iterations. 5. Comment on the relation between the errors from one iteration to the next for each variable you find and compare/comment on the expected/unexpected efficiency and results of both methods. 6. Repeat 2 to 5 with relaxation using 2 = 1.2 7. For the Gauss-Seidel method and for each variable, plot the percent relative approximate error versus the number of iterations for the cases with and without relaxation (for each variable one figure that has two curves one with and one without relaxation)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

C++ Database Development

Authors: Al Stevens

1st Edition

1558283579, 978-1558283572

Students also viewed these Databases questions