expmint2.m

Computes the nested matrix exponential double integral:

  Integrate[expm(-i*A*(T-t))*B*
  Integrate[expm(-i*C*(t-x))*D*expm(-i*E*x),{x,0,t}],{t,0,T}]

This corresponds to the (1,3) block of the exponential of the auxiliary matrix (http://dx.doi.org/10.1109/TAC.1978.1101743).

Syntax

I=expmint2(spin_system,A,B,C,D,E,T)

Parameters

A,B,C,D,E - square matrices

   T         - upper limit of the outer integral

Outputs

I         - the integral as above

See also

expmint.m, dirdiff.m, trapdiff.m, acomm.m, arnoldi.m, atranspose.m, aux_mat.m, binpack.m, cheap_norm.m, cheb_coeff.m, clean_up.m, eigenfields.m, expdrop.m, fftdiff.m, fourdif.m, fourlap.m, frob_chop.m, gaussfun.m, hdot.m, herm_spline.m, jacobianest.m, keep_rank.m, krondelta.m, kronm_new.m, logfactorial.m, lorentzcon.m, lorentzfun.m, md5_hash.m, mprealloc.m, remncomm.m, remtrace.m, rspert.m, rspt_eig.m, snormpdf.m, svd_shrink.m, tikhoind.m, tikhonov.m, unit_oper.m, unit_state.m, vvpert.m, Kernel_utilities

Version 2.11, authors: Aditya Dev, Ilya Kuprov