write a matrix in the form AX=RBX

% Write matrix of form AX=R*B*X with  X contains A(k) and B(k) are eigenvectors 

% conditions  k = 1 to 10; n = 1 to k and n not equal to k


-(2+(pi*h/H)^2)*A(1)+A(2)-(h*R/2)*B(2) = 0
-(2+(pi*h/H)^2)*B(1)+B(2)+(h/2)*A(2)+(2*H*h/pi^2*xi)*symsum(n*(A(n+1)-A(n-1)),n,1,k and n not equal to k) = 0

for k =2:8
    A(k-1)-(2+(k*h*pi/H)^2)*A(k)+A(k+1)-(h*R/2)*(B(k+1)-B(k-1)) = 0
    B(k-1)-(2+(k*h*pi/H)^2)*B(k)+B(k+1)+(h/2)*(A(k+1)-A(k-1))+(2*H*h/pi^2*xi)*symsum(n*k*(A(n+1)-A(n-1)),n,1,k and n not equal to k) = 0
end

A(8)-(2+(9*h*pi/H)^2)*A(9)+(h*R/2)*B(8) = 0
 B(8)-(2+(9*h*pi/H)^2)*B(9)-(h/2)*A(8)+(2*H*h/pi^2*xi)*symsum(9*n*(A(n+1)-A(n-1)),n,1,k and n not equal to k) = 0

[Steven Lord]

It's not clear to me what you're trying to compute and what you already know. Your expressions include variables h, H, A, R, B, and xi (I think I got all of them.) Which of these are known quantities and which of them are you trying to compute? What are the known or desired sizes for these variables?

[MADHVI]

Thank you for response.

h, H and xi are known quantities.

R need to be computed.

My question is how to write the mentioned expression in the matrix form such that A(k) and B(k) (k runs from 1 to 10, n runs from 1 to k such that n is not equal to k) will be treated as eigenvectors for which eigenvalue R needs to be computed.

[Yash]

Hi Madhvi,

There is still some confusion regarding the problem that you are trying to solve. Based on the information provided, here is what I have understood:

1. There is a matrix equation of the form: A*X = R*B*X.
2. There are two variables to iterate, "n" and "k". "k" varies from 1 to 10 and "n" varies from 1 to k-1.
3. Variables "h", "H", "A", "R", "B", and "xi" are known, and the goal is to compute the value of "R".
4. There is a summation expression that you are attempting to code.

However, the code you provided is not clear or understandable. To assist you further, it would be helpful if you could provide a properly documented problem statement. Since the expression is not readable, kindly provide a documented (handwritten or typed) expression that you are trying to code.

[MADHVI]

Thank you for the response.

I need to write the following equation attached below in the matrix form in Matlab.