Linear Equation of upto 10 variables -- Solution
by
Gauss's Method
* In Gauss method, the solution is exact and the precondition is that the leading elements (yellow cells) should not be zero. Here in each successive |
table, the no. of variables is reduced by one through successive elimination of one variable This is called Direct Procedure.. The computation starts |
from the last variable upwards which is called Reverse Procedure. |
* We have programmed to overcome the bottleneck if leading element is zero. |
* The number N of arithmetic operations necessary to realize the Gaussian method is determined by the formula |
N = (2n(n+1)(n+2)/3) + n(n-1) where n is the number of unknowns or approximately N is proportional to n3 |