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

scipy.linalg.

scipy.linalg.coshm(A)[source]#

Compute the hyperbolic matrix cosine.

This routine uses expm to compute the matrix exponentials.

Parameters:

A(N, N) array_like

Input array.

Returns:

coshm(N, N) ndarray

Hyperbolic matrix cosine 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]]) c = coshm(a) c array([[ 11.24592233, 38.76236492], [ 12.92078831, 50.00828725]])

Verify tanhm(a) = sinhm(a).dot(inv(coshm(a)))

t = tanhm(a) s = sinhm(a) t - s.dot(np.linalg.inv(c)) array([[ 2.72004641e-15, 4.55191440e-15], [ 0.00000000e+00, -5.55111512e-16]])