hess
Hessenberg form of matrix
Syntax
H = hess(A)
[P,H] = hess(A)
[AA,BB,Q,Z] = hess(A,B)
Description
H = hess(A)
finds H
,
the Hessenberg form of matrix A
.
[P,H] = hess(A)
produces a Hessenberg matrix
H
and a unitary matrix P
so that A =
P*H*P'
and P'*P = eye(size(A))
.
[AA,BB,Q,Z] = hess(A,B)
for
square matrices A
and B
, produces
an upper Hessenberg matrix AA
, an upper triangular
matrix BB
, and unitary matrices Q
and Z
such
that Q*A*Z = AA
and Q*B*Z = BB
.
Examples
H
is a 3-by-3 eigenvalue test matrix:
H = -149 -50 -154 537 180 546 -27 -9 -25
Its Hessenberg form introduces a single zero in the (3,1) position:
hess(H) = -149.0000 42.2037 -156.3165 -537.6783 152.5511 -554.9272 0 0.0728 2.4489
More About
Extended Capabilities
Version History
Introduced before R2006a