linear_algebra

#Homework 5 2.)

The LU decomposition is excuted by using the folling functions:lu_tridiag.m. solve_tridiag.m is used to solve the x vector in the equation Ax = B test_array.m forms the matrix which is then decomposed.

3.)

The table below compares the error between the created code and AN\b

size of A	norm(error)
3	2.341457211866148746537419356
4	1.5089317413322578254053496494
5	2.718353701243559239486557999
6	2.9952458816401601460199799476
7	2.1975878506014523416922656907
8	2.2726826857500208589613066579
9	1.2565685195978946175898727233
10	0.0000000000000001092738104726

The table below shows the values of lamda and omega

lamda	omega
40.5220	6.3657
14.4090	3.7959
2.5690	1.6028

The table below expresses the values produced in the column.

# of segments	smallest	largest	number of eigenvalues
5	0.382	3.618	4
6	0.385	5.374	5
10	0.39	15.6	9

nam12022/Linear-Algebra

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