schur

Schur decomposition.

Syntax

T          = schur(A)
[U, T]     = schur(A)
T          = schur(A, 'real')
T          = schur(A, 'complex')

Description

Decomposes A into an orthogonal/unitary U and (quasi-)triangular T such that A = U*T*U'. By default, real A produces a real quasi-triangular T (with 2×2 diagonal blocks for complex eigenvalue pairs). Pass 'complex' to force a true upper-triangular complex Schur form.

Examples

[U, T] = schur(magic(4));
norm(U*T*U' - magic(4))  % near-zero

See also

• eig — Eigenvalues and eigenvectors.
• hess — Hessenberg form of a matrix.
• qr — QR decomposition.