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sf2csf(T, Z)<br />

Convert real Schur form to complex Schur form.<br />

SciPy Reference Guide, Release 0.8.dev<br />

Convert a quasi-diagonal real-valued Schur form to the upper triangular complex-valued Schur form.<br />

See Also:<br />

Parameters<br />

T : array, shape (M, M)<br />

Real Schur form of the original matrix<br />

Z : array, shape (M, M)<br />

Schur transformation matrix<br />

Returns<br />

T : array, shape (M, M)<br />

Complex Schur form of the original matrix<br />

Z : array, shape (M, M)<br />

Schur transformation matrix corresponding to the complex form<br />

schur<br />

Schur decompose a matrix<br />

hessenberg(a, calc_q=0, overwrite_a=0)<br />

Compute Hessenberg form of a matrix.<br />

The Hessenberg decomposition is<br />

A = Q H Q^H<br />

where Q is unitary/orthogonal and H has only zero elements below the first subdiagonal.<br />

Parameters<br />

a : array, shape (M,M)<br />

Matrix to bring into Hessenberg form<br />

calc_q : boolean<br />

Whether to compute the transformation matrix<br />

overwrite_a : boolean<br />

Whether to ovewrite data in a (may improve performance)<br />

Returns<br />

H : array, shape (M,M)<br />

Hessenberg form of A<br />

(If calc_q == True) :<br />

Q : array, shape (M,M)<br />

Unitary/orthogonal similarity transformation matrix s.t. A = Q H Q^H<br />

3.7. Linear algebra (<strong>scipy</strong>.linalg) 241

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