I want to find the eigenvectors of a matrix corresponding to imaginary eigenvalues.

Using

 [V, D]=eig(A)

the eigenvectors V correspond to eigenvalues which could be real or complex. But I want to know if it's possible to find V correspoindg to imaginary eigenvalues only. Thanks.

Answer 1

[Bruno Luong]

Use imag function

A=rand(5);
[V,d]=eig(A,'vector');

iscmplx=imag(d)~=0

iscmplx = 5×1 logical array
   0
   0
   1
   1
   0

d=d(iscmplx)

d = 
   0.0216 + 0.2183i
   0.0216 - 0.2183i

V=V(:,iscmplx) % corresponding eigen vectors (in each column)

V = 
   0.2708 - 0.4562i   0.2708 + 0.4562i
  -0.5843 + 0.0000i  -0.5843 + 0.0000i
   0.0655 - 0.1415i   0.0655 + 0.1415i
   0.3705 - 0.0515i   0.3705 + 0.0515i
  -0.0052 + 0.4614i  -0.0052 - 0.4614i

[Anil]

Great! thanks.