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- A
- (
*input/output*) **REAL** or **COMPLEX** square array,
shape .

On entry, the matrix .

On exit, the contents of **A** are destroyed.

*w*
- (
*output*) **REAL** or **COMPLEX** array,
shape with (*w*) (**A**,1).

The computed eigenvalues.

::= **WR(:), WI(:)** **W(:)**,

where

**WR(:), WI(:)** are of **REAL** *type*
(for the real and imaginary parts)
and **W(:)** is of **COMPLEX** *type*.

Note: If is real, then a complex-conjugate pair appear
consecutively, with the eigenvalue having the positive
imaginary part appearing first.

- VL
*Optional* (*output*) **REAL** or **COMPLEX**
square array, shape with (**VL**,1) (**A**,1).

The left eigenvectors are stored in the
columns of **VL** in the order of their eigenvalues.
Each eigenvector is scaled so that the Euclidean norm is 1 and the
largest component is real.

Note: If is real then complex eigenvectors,
like their eigenvalues,
occur in complex conjugate pairs. The real and imaginary
parts of the first eigenvector of the pair are stored in
**VL** and **VL**, respectively. Thus a
complex conjugate pair is given by

- VR
*Optional* (*output*) **REAL** or **COMPLEX**
square array, shape with (**VR**,1) (**A**,1).

The right eigenvectors are stored in the
columns of **VR** in the order of their eigenvalues.
Each eigenvector is scaled so that the Euclidean norm is 1 and the
largest component is real.

Note: If is real then complex eigenvectors,
like their eigenvalues,
occur in complex conjugate pairs. The real and imaginary
parts of the first eigenvector of the pair are stored in
**VR** and **VR**, respectively. Thus a
complex conjugate pair is given by

- INFO
*Optional* (*output*) **INTEGER**.

If **INFO** is not present and an error occurs, then the program is
terminated with an error message.

**References**: [1] and [17,9,20].

** Next:** Examples
** Up:** Standard Nonsymmetric Eigenvalue Problems
** Previous:** Purpose
** Contents**
** Index**
Susan Blackford
2001-08-19