good morning
this is the first question for me in this great forum an i hope to help me.
e.g.let a = 175 ,b = 40
175=40(4)+15
40 = 15(2)+10
15=10(1)+5
10=5(2)+0
so GCD(175,40)=5

j q sj tj
-1 1 0
0 0 1
1 4 1 -4
2 2 -2 9
3 1 3 -13

so x=3 , y=-13
so 175*3+40*(-13)=5
note sj+1 = sn-1 - sn * qn+1
tn+1 = tn-1 - tn * qn+1
now my question how can i write this method in matlab langauge?
I Try to write it but i faild : i wrote this :
a= input('a=')
b= input('b=')
r(0)=a;
r(1)=b;
for i =0:10

q(i) = floor(r(i-2)/r(i-1));
r(i) = (r(i-2)/r(i-1)- q(i))*r(i-1);
end
stop r(i) = 0
h= i
s(-1)=1;
s(0)=0;
t(-1)=0;
t(0)=1;
for j = 1 : h-1
s(j)=s(j-2)-s(j-1)*q(i);
t(j)=t(j-2)-t(j-1)*q(j);
end
x=s(h-1)
y= t(h-1)
gcd = a*x+b*y

please i ask u to help and thanks alot for all