Page 7 - NUMERICAL METHOD

2

Numerical Solution to Linear System Of Equations

In engineering, multi-component systems require solution of a set of
mathematical equations that need to be solved simultaneously

Consider a system of n linear equations with being unknown:

+ + … + = 1
12 2
11 1
1
+ + … + = 2 ’s : coefficients
21 1
22 2
2
’s : unknowns
. . . ’s : constants
+ + … + =

2 2
1 1

For small ’s (say, ≤ 2) this can be done mentally, but for large , we

need numerical technique

Three different methods are explained in this module which are:

✓ Gaussian Elimination Method

✓ LU Decomposition : Doolittle Method

✓ LU Decomposition : Crout Method

source: pixabay.com