Use any programming language for the following: Machine Exercise: a. Make an Algorithm for solving systems of linear algebraic equations using the methods below: 1.) Gauss elimination 2.) LU decomposition method (any one of the following) Doolittle's decomposition • Crout's decomposition Cholesky's decomposition 3.) Iterative methods (any one of the following) Gauss-Jacobi Gauss-Seidel Successive Relaxation Conjugate Gradient b. Write a program for solving the system Ax = b by 1.) Gaussian elimination algorithm 2.) LU decomposition methods (any one of the three) Doolittle's decomposition • Crout's decomposition Cholesky's decomposition

Computer Networking: A Top-Down Approach (7th Edition)
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Use any programming language for the following:
Machine Exercise:
a. Make an Algorithm for solving systems of
linear algebraic equations using the methods
below:
1.) Gauss elimination
2.) LU decomposition method (any one of the
following)
• Doolittle's decomposition
• Crout's decomposition
Cholesky's decomposition
3.) Iterative methods (any one of the following)
Gauss-Jacobi
Gauss-Seidel
• Successive Relaxation
Conjugate Gradient
b. Write a program for solving the system Ax = b
by
1.) Gaussian elimination algorithm
2.) LU decomposition methods (any one of the
three)
%3D
• Doolittle's decomposition
• Crout's decomposition
Cholesky's decomposition
Transcribed Image Text:Use any programming language for the following: Machine Exercise: a. Make an Algorithm for solving systems of linear algebraic equations using the methods below: 1.) Gauss elimination 2.) LU decomposition method (any one of the following) • Doolittle's decomposition • Crout's decomposition Cholesky's decomposition 3.) Iterative methods (any one of the following) Gauss-Jacobi Gauss-Seidel • Successive Relaxation Conjugate Gradient b. Write a program for solving the system Ax = b by 1.) Gaussian elimination algorithm 2.) LU decomposition methods (any one of the three) %3D • Doolittle's decomposition • Crout's decomposition Cholesky's decomposition
3.) Iterative methods (any one of the four). Use x(0)
= 0, ɛ = 10- 6 if necessary
%3D
• Gauss-Jacobi
Gauss-Seidel
• Successive Relaxation (with some choice of
W, you can experiment with it)
• Conjugate Gradient
Machine Problem:
Solve the equations Ax = b where
%3D
1.44 -0.36
5.52
0.00
0.04
-0.36
10.33 -7.78
0.00
-2.15
A =
b
5.52
-7.78
28.40
9.00
0.00
0.00
9.00 61.00
0.88
by:
Gauss elimination
• LU decomposition methods
• Iterative methods
Use hand computation for methods you did not
program.
Transcribed Image Text:3.) Iterative methods (any one of the four). Use x(0) = 0, ɛ = 10- 6 if necessary %3D • Gauss-Jacobi Gauss-Seidel • Successive Relaxation (with some choice of W, you can experiment with it) • Conjugate Gradient Machine Problem: Solve the equations Ax = b where %3D 1.44 -0.36 5.52 0.00 0.04 -0.36 10.33 -7.78 0.00 -2.15 A = b 5.52 -7.78 28.40 9.00 0.00 0.00 9.00 61.00 0.88 by: Gauss elimination • LU decomposition methods • Iterative methods Use hand computation for methods you did not program.
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