hess

Hessenberg form of a square matrix.

📝Syntax

H = hess(A)
[P, H] = hess(A)

📥Input Arguments

Parameter	Description
A	square numeric matrix.

📤Output Arguments

Parameter	Description
H	upper Hessenberg matrix similar to A.
P	unitary transformation matrix satisfying A = P * H * P'.

📄Description

hess reduces a square numeric matrix to upper Hessenberg form by unitary similarity transformations.

With two outputs, hess also returns the accumulated transformation matrix P such that A = P * H * P'.

💡Examples

Compute a Hessenberg form and verify the similarity residual.

A = [1 2 3; 4 5 6; 7 8 10];
[P, H] = hess(A);
residual = norm(A - P * H * transpose(P), 'fro')

🔗See Also

Used Functions

LAPACK

🕔Version History

Version	Description
2.0.0	initial version