I am new to Octave and would like to know how to solve nonlinear equation. Here is an example equation
x^4-16x^3+61x^2-22x-12=0
Update:
w+x+y+1=3
2w+3x+4y+5=10
w-x+y-1=4
thanks
I am new to Octave and would like to know how to solve nonlinear equation. Here is an example equation
x^4-16x^3+61x^2-22x-12=0
Update:
w+x+y+1=3
2w+3x+4y+5=10
w-x+y-1=4
thanks
Use fzero
to get the solution closest to a given x0
(well, not necessarily closest, but the first one found):
This should work:
x0 = 0;
f = @(x) x^4 - 16*x^3 + 61*x^2 - 22*x - 12;
fzero(f,x0);
ans = 0.76393
Also, you should check out roots
, to get all the solutions of a polynomial.
x = [1 -16 61 -22 -12]; % The coefficients of your polynomial
y = roots(x)
y =
10.29150
5.23607
0.76393
-0.29150
Ok, so I'll answer the second question anyway:
x = [1 1 1; 2 3 4; 1 -1 1]; % Coefficients of w, x and y
y = [2; 5; 5]; % [3-1; 10-5; 4+1]
b = x\y
b =
2.2500
-1.5000
1.2500
fsolve
is a good place to start.