Use blackboard for your completed solutions. You are to only use the solvers developed during this semester to generate your solutions.
computer science
Description
CS
417
You
have 1 week to complete this . Use blackboard for your completed solutions. You
are to only use the solvers developed during this semester to generate your
solutions.
You may use the library or any computer lab as
well.
There
are 5 data files in the final exam directory. The format for each is as
follows:
N = length of the solution vector
N*N values for the matrix A
N values for the right side b
Solve q1data.txt using your Gaussian
Elimination Solver
Solve q2data.txt using your LU
solver
Solve q3data.txt using Jacobi
iterator (give me your iteration count as well as the solution please)
Solve q4data.txt using Gauss-Seidel
Solve q5data.txt using SOR with the
over relaxation constant set to 1.15
For each of these take the N values
of the solution and load them into a text file, use root N rows and root N
columns. Graph a surface plot of the
solution. Each should reveal an easy recognizable image.
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Example
a file has the following values:
9
10
11 12 13 14 15 16 17 18 19
20
21 22 23 24 25 26……
30
31 32 33 ……
….
....
91
100
200 300 400 500 600 700 800 900
The
problem will have 9 solutions.
The
matrix A is 9x9 has 81 entries 10 through 91
The
right hand side b has nine values 100 through 900
Let’s
pretend the answer is x = 1 2 3 4 5 6 7 8 9
The
physical domain is 3x3, e.g. the square root of 9
You
would load those values into excel as
1
2 3
4
5 6
7
8 9 and graph them as a surface plot.
