scipy.linalg.sinhm¶
-
scipy.linalg.
sinhm
(A)[source]¶ Compute the hyperbolic matrix sine.
This routine uses expm to compute the matrix exponentials.
- Parameters
- A(N, N) array_like
Input array.
- Returns
- sinhm(N, N) ndarray
Hyperbolic matrix sine of A
Examples
>>> from scipy.linalg import tanhm, sinhm, coshm >>> a = np.array([[1.0, 3.0], [1.0, 4.0]]) >>> s = sinhm(a) >>> s array([[ 10.57300653, 39.28826594], [ 13.09608865, 49.86127247]])
Verify tanhm(a) = sinhm(a).dot(inv(coshm(a)))
>>> t = tanhm(a) >>> c = coshm(a) >>> t - s.dot(np.linalg.inv(c)) array([[ 2.72004641e-15, 4.55191440e-15], [ 0.00000000e+00, -5.55111512e-16]])