How can i Product Mathematical functions ?

Hi

Dear Users

i want to find all comlex roots of a function with Muller method and want to make a code for general functions f(x). first of all i dont know how many roots we have.

i wrote a code for muller method and it just find 1 root. suppose i introduce my function as:

f= @(x) x^2+x+1 % just an axample

suppose first root is r1 and for finding other roots i need to divide f in x-r1 so need introduce another function like g=f/(x-r1) and solve g(x).

i dont know how many roots we have and need to make new function after finding new root.

For example if second root is r2, i need to introduce h=f/(x-r1)* (x-r2) and etc.

i need to make a loop to make new functions after finding new roots

how can i do this work?

best regards

-Hamed

Answer 1

[Matt J]

f= @(x) x^2+x+1;

for i=1:N
    r(i)=_______;
    f=@(x) f(x)./(x-r(i));
end