Linear_algebra

LU-decomposition function is presented in the lu_tridiag.m file.
The function was tested using test_arrays.m file.
Test your function on the matrices A3, A4, ..., A10 generated with test_arrays.m Solving for b=ones(N,1); where N is the size of A. In your README.md file, compare the norm of the error between your result and the result of AN\b.

To calculate the error in matlab, I used the norm function by typing in NORM' at the end of my code.

size of A	norm(error)
3	2.3414572118
4	1.508931741
5	2.7183537012
6	2.995245881
7	2.1975878506
8	2.2726826
9	1.256568519597
10	0.0000000000000001092

These are the lambda and omega values found through the slender_column.m file:

lambda	Omega
2.5690	1.6028
14.4090	3.7959
40.5220	6.3657

These are the eigenvalues that were produced through the Pole_Vaulting.m file:

| # of segments | largest | smallest | # of eigenvalues | | ------------- | ------- | -------- | ---------------- | | | 5 | 3.6163 | 0.3803 | 4 | | 6 | 3.7310 | 0.2669 | 5 | | 10 | 3.9018 | 0.0976 | 9 |

fmi13001/Linear_algebra

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