Are eigenvectors computed by zhpevd ( ) orthogonal ?

Customer__Intel4 — Wed, 30 Nov 2011 12:51:17 GMT

Are eigenvectors computed by the functionLAPACKE_zhpevd ( ) for a hermitian matrix guaranteed to be orthogonal ? If not, is there a way to orthogonalize them ?

Are eigenvectors computed by zhpevd ( ) orthogonal ?

Victor_K_Intel1 — Thu, 01 Dec 2011 06:35:14 GMT

Yes, the vectors must be orthogonal. Here it is an excerpt from the manual:

If jobz = 'V', then this array is overwritten by the unitary matrix Z which contains the eigenvectors of A. If

jobz = 'N', then z is not referenced.
So, if in your case you don't observe this feature this may be a bug. But you also should keep in mind that Divide-and-Conquer method is not the best algorithm for matrices with multiple eivenvalues.

Thanks
Victor

topic Are eigenvectors computed by zhpevd ( ) orthogonal ? in Intel® oneAPI Math Kernel Library

Are eigenvectors computed by zhpevd ( ) orthogonal ?

Are eigenvectors computed by zhpevd ( ) orthogonal ?