Intel® oneAPI Math Kernel Library LAPACK Examples

Developer Reference

  • 2022.1
  • 12/20/2021
  • Public Content
Contents

ZGEEV Example

The routine computes the eigenvalues and, optionally, the left and/or right eigenvectors of a square complex general matrix
A
.
The right eigenvector
v
(j)
 of
A
 satisfies the following formula: 
A*v(j) = lambda(j)*v(j)
where
lambda
(j)
 is its eigenvalue.
The left eigenvector
u
(j)
 of
A
 satisfies the following formula: 
u(j)
H
*A = lambda(j)*u(j)
H
where
u
(j)
H
 denotes the conjugate transpose of
u
(j)
.
The computed eigenvectors are normalized so that their Euclidean norm equals one and the largest component is real.

C Interface

Please refer to the Matrix Layout section of the C Interface Conventions for the description of Row Major (C default) and Column Major (Fortran default).

Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.