schur

Schur decomposition.

Syntax

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

Input argument

• M - a numeric value: scalar or square matrix (double or single)

Output argument

• U - unitary matrix
• T - upper triangular matrix

Description

schur(M) computes the schur decomposition.

With the flag 'complex', the complex schur form is upper triangular with the eigenvalues of M on the diagonal.

If A is real, the real schur form is returned.

With the flag 'real', the real schur form has the real eigenvalues on the diagonal and the complex eigenvalues in 2-by-2 blocks on the diagonal.

Example

X = [1 2; 3 4];
[U, T] = schur(X)
[U, T] = schur(X * i, 'complex')
[U, T] = schur(X * i, 'real')

See also

eig.

History

Author

Allan CORNET