How to multiply n matrices
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stepsize = 0.01;
time(1) = -10;
signalLength = 2000;
time(2) = 10;
N = signalLength+1;
x = time(1):stepsize:time(2);
Y = sech(x);
stem(x,Y), grid on
eigenevalue = [];
z = [];
k = (time(2)-time(1))/(N-1);
for n = 1 : N
eigenevalue = [eigenevalue time(1)+(n-1)*k];
z = [z i*exp(-1i*eigenevalue(n)*stepsize)];
d = z;
end
for n = 1 : N
M(:,:,n) = [z(n)^2 Y(n)*stepsize*z(n); -conj(Y(n))*stepsize*z(n) 1];
end
while N >= 2
s = mod(N,2);
N = (N-s)/2;
for n = 1 : (N-s),
M(:,:,n) = M(:,:,2*n-1).*M(:,:,2*n)';
end
if s ~= 0
M(:,:,N) = M(:,:,2*N-1);
end
end
A(:,:,1) = M(:,:,1);
The matrix M is a function of z and n. What I need is I have to multiply the matrix M N times to eliminate the variable n, and then substitute the value of z.Can anybody help me with this please?
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