So I am given three non linear equations:
and i need to solve using newtons method using 100 randomly selected initial guesses for x1^(0), x2^(0) and x3^(0).Code:x1(x2-2)=0, x2(x3-3)=0, x3(x1-1)=0
So I am given three non linear equations:
and i need to solve using newtons method using 100 randomly selected initial guesses for x1^(0), x2^(0) and x3^(0).Code:x1(x2-2)=0, x2(x3-3)=0, x3(x1-1)=0
First find the Jacobian:
Now Newton's method proceeds from a initial approximation of guess: to the next approximation using by solving:
for , then the next estimate is:
.
Then the general itteration step is:
solve:
for , then the next estimate is:
.
In Matlab the equation J dP= P is solved using a statement of the form:
dP=J\P
if I recall correctly
RonL