sinhm — SciPy v1.15.2 Manual (original) (raw)

scipy.linalg.

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

import numpy as np 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]])