Application Guide

eigVc()
Catalog >
Returns a matrix containing the
eigenvectors for a real or complex
squareMatrix, where each column in the
result corresponds to an eigenvalue. Note
that an eigenvector is not unique; it may be
scaled by any constant factor. The
eigenvectors are normalized, meaning that:
if V = [x
1
, x
2
, … , x
n
]
then x
1
2
+x
2
2
+ … +x
n
2
= 1
squareMatrix is first balanced with
similarity transformations until the row and
column norms are as close to the same
value as possible. The squareMatrix is then
reduced to upper Hessenberg form and the
eigenvectors are computed via a Schur
factorization.
To see the entire result, press £ and then
use ¡and¢ to move the cursor.
eigVl()
Catalog >
eigVl(squareMatrix) ⇒ list
Returns a list of the eigenvalues of a real or
complex squareMatrix.
squareMatrix is first balanced with
similarity transformations until the row and
column norms are as close to the same
value as possible. The squareMatrix is then
reduced to upper Hessenberg form and the
eigenvalues are computed from the upper
Hessenberg matrix.
In Rectangular complex format mode:
To see the entire result, press £ and then
use ¡and¢ to move the cursor.
Else
See If, page 87.
Alphabetical Listing 59