Getting inaccurate eigenvalue with eig command. Please suggest me some other command or small series of steps to find accurate eigen value for Generalized Eigenvalue Problem.
1 visualización (últimos 30 días)
Mostrar comentarios más antiguos
arpan garg
el 30 de Nov. de 2022
Comentada: arpan garg
el 30 de Nov. de 2022
% For Generalized Eigenvalue problem Ax = λBx, where A and B are of order 12*12.
A =[ -11.0913 0 0 0 0 0 0 0 0 0 0 0;
0 -25.8957 0 0 0 0 0 0 0 0 0 0;
0 0 -50.5698 0 0 0 0 0 0 0 0 0;
0 0 0 -85.1134 0 0 0 0 0 0 0 0;
0 0 0 0 -129.5266 0 0 0 0 0 0 0;
0 0 0 0 0 -183.8094 0 0 0 0 0 0;
0.5000 0 0 0 0 0 -11.0913 0 0 0 0 0;
0 0.5000 0 0 0 0 0 -25.8957 0 0 0 0;
0 0 0.5000 0 0 0 0 0 -50.5698 0 0 0;
0 0 0 0.5000 0 0 0 0 0 -85.1134 0 0;
0 0 0 0 0.5000 0 0 0 0 0 -129.5266 0;
0 0 0 0 0 0.5000 0 0 0 0 0 -183.8094]
B = [ 0 0 0 0 0 0 -1.5391 -1.6634 0 -0.1331 0 -0.0367;
0 0 0 0 0 0 -1.6634 -1.5391 -1.7965 0 -0.1697 0;
0 0 0 0 0 0 0 -1.7965 -1.5391 -1.8332 0 -0.1848;
0 0 0 0 0 0 -0.1331 0 -1.8332 -1.5391 -1.8483 0;
0 0 0 0 0 0 0 -0.1697 0 -1.8483 -1.5391 -1.8559;
0 0 0 0 0 0 -0.0367 0 -0.1848 0 -1.8559 -1.5391;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0]
e1=eig(A,B);
min(e1(e1>-inf)) % extracting minimum of eig(A,B) which is greater than -inf.
= -3.8410e+04 % But exact value in the paper is 132.020.
% Please mention some other command or way or small series of steps to find the the required eigen value as 132.020.
1 comentario
David Goodmanson
el 30 de Nov. de 2022
Hi arpan,
of the noninfinite eigenvalues the maximum one is 132.02
Respuesta aceptada
Alan Stevens
el 30 de Nov. de 2022
Like this:
A =[ -11.0913 0 0 0 0 0 0 0 0 0 0 0;
0 -25.8957 0 0 0 0 0 0 0 0 0 0;
0 0 -50.5698 0 0 0 0 0 0 0 0 0;
0 0 0 -85.1134 0 0 0 0 0 0 0 0;
0 0 0 0 -129.5266 0 0 0 0 0 0 0;
0 0 0 0 0 -183.8094 0 0 0 0 0 0;
0.5000 0 0 0 0 0 -11.0913 0 0 0 0 0;
0 0.5000 0 0 0 0 0 -25.8957 0 0 0 0;
0 0 0.5000 0 0 0 0 0 -50.5698 0 0 0;
0 0 0 0.5000 0 0 0 0 0 -85.1134 0 0;
0 0 0 0 0.5000 0 0 0 0 0 -129.5266 0;
0 0 0 0 0 0.5000 0 0 0 0 0 -183.8094];
B = [ 0 0 0 0 0 0 -1.5391 -1.6634 0 -0.1331 0 -0.0367;
0 0 0 0 0 0 -1.6634 -1.5391 -1.7965 0 -0.1697 0;
0 0 0 0 0 0 0 -1.7965 -1.5391 -1.8332 0 -0.1848;
0 0 0 0 0 0 -0.1331 0 -1.8332 -1.5391 -1.8483 0;
0 0 0 0 0 0 0 -0.1697 0 -1.8483 -1.5391 -1.8559;
0 0 0 0 0 0 -0.0367 0 -0.1848 0 -1.8559 -1.5391;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0];
e1=eig(A,B);
disp(min(abs(e1)))
Más respuestas (0)
Ver también
Categorías
Más información sobre Linear Algebra en Help Center y File Exchange.
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!