rsf2csf(T, Z, check_finite=True)
Convert a quasi-diagonal real-valued Schur form to the upper-triangular complex-valued Schur form.
Real Schur form of the original array
Schur transformation matrix
Whether to check that the input arrays contain only finite numbers. Disabling may give a performance gain, but may result in problems (crashes, non-termination) if the inputs do contain infinities or NaNs.
Complex Schur form of the original array
Schur transformation matrix corresponding to the complex form
Convert real Schur form to complex Schur form.
schur
Schur decomposition of an array
>>> from scipy.linalg import schur, rsf2csf
... A = np.array([[0, 2, 2], [0, 1, 2], [1, 0, 1]])
... T, Z = schur(A)
... T array([[ 2.65896708, 1.42440458, -1.92933439], [ 0. , -0.32948354, -0.49063704], [ 0. , 1.31178921, -0.32948354]])
>>> Z array([[0.72711591, -0.60156188, 0.33079564], [0.52839428, 0.79801892, 0.28976765], [0.43829436, 0.03590414, -0.89811411]])
>>> T2 , Z2 = rsf2csf(T, Z)
... T2 array([[2.65896708+0.j, -1.64592781+0.743164187j, -1.21516887+1.00660462j], [0.+0.j , -0.32948354+8.02254558e-01j, -0.82115218-2.77555756e-17j], [0.+0.j , 0.+0.j, -0.32948354-0.802254558j]])
>>> Z2 array([[0.72711591+0.j, 0.28220393-0.31385693j, 0.51319638-0.17258824j], [0.52839428+0.j, 0.24720268+0.41635578j, -0.68079517-0.15118243j], [0.43829436+0.j, -0.76618703+0.01873251j, -0.03063006+0.46857912j]])See :
The following pages refer to to this document either explicitly or contain code examples using this.
scipy.linalg._decomp_schur.schur
scipy.linalg._decomp_schur.rsf2csf
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