linear_algebra
#Homework 5 2.)
The LU decomposition is excuted by the functions lu_tridiag.m.
The function solve_tridiag.m solves the x vector in the equation Ax = B
The test_array.m function then creates the matrixs that will be 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 |
#Spring Mass System [This file shows the caclations to arrive at a final matrix.]
(Spring Mass System.PNG)