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write a matrix in the form AX=RBX

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MADHVI
MADHVI il 16 Ott 2023
Commentato: MADHVI il 25 Ott 2023
% 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
  4 Commenti
Yash
Yash il 25 Ott 2023
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
MADHVI il 25 Ott 2023
Thank you for the response.
I need to write the following equation attached below in the matrix form in Matlab.

Accedi per commentare.

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