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bundles / scipy 1.17.1 / scipy / sparse / linalg / _matfuncs / _eq_10_42

function

scipy.sparse.linalg._matfuncs:_eq_10_42

source: /scipy/sparse/linalg/_matfuncs.py :747

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