MAT 315 Midterm, Fall 2011
American University of Science and Technology · Numerical Methods · 2 pages · Mr. Hussam Nader
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MAT 315
1.
(20 pts) Use the false Position method to find the root of the function
with initial guesses of
to
(Iterate within
2.
(60 pts) Given the following system of equations:
17
-5
-5
a)
Solve the above system of equations using Cramer’s rule method (show
all your work).
b)
Using LU Decomposition method
c)
Employ LU decomposition to determine the matrix inverse.
Continue……
d)
Use Gauss Siedel method to obtain solutions for the above system of
equations.(Iterate within
)
p. 1 of 2
Iteration
Number
Sign
Iteration
Number
0
0
0
0
MAT 315
3. (20 pts) Use Muller’s method to find one of the roots of
.
Use initial guesses of
. (Use only one
iteration). Determine also both the true percent relative error and the
approximate percent relative error.
p. 2 of 2