`scipy.sparse.linalg._matfuncs:_eq_10_42`

source: build-install/usr/lib/python3.14/site-packages/scipy/sparse/linalg/_matfuncs.py:746

Signature

def _eq_10_42(lam_1, lam_2, t_12)

Summary

Equation (10.42) of Functions of Matrices: Theory and Computation.

Notes

This is a helper function for _fragment_2_1 of expm_2009. Equation (10.42) is on page 251 in the section on Schur algorithms. In particular, section 10.4.3 explains the Schur-Parlett algorithm. expm([[lam_1, t_12], [0, lam_1]) = [[exp(lam_1), t_12*exp((lam_1 + lam_2)/2)*sinch((lam_1 - lam_2)/2)], [0, exp(lam_2)]

Aliases

scipy.sparse.linalg._matfuncs._eq_10_42