Expmint.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:36:31Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:48:48Z

Rename Arguments section heading to Parameters

Kuprov: Add NOTOC to Spinach function page header

2026-06-05T15:58:48Z

Add NOTOC to Spinach function page header

Kuprov: Spot-update function page against current Spinach source

2026-06-05T14:49:39Z

Spot-update function page against current Spinach source

Kuprov: Normalise sequential blank lines

2026-04-25T11:25:10Z

Normalise sequential blank lines

Admin: /* Outputs */

2018-08-27T15:55:51Z

‎Outputs

Admin: /* See also */

2018-08-27T15:54:44Z

‎See also

Admin: /* See also */

2018-08-27T15:54:24Z

‎See also

Admin at 15:54, 27 August 2018

2018-08-27T15:54:02Z

Admin at 16:46, 8 December 2015

2015-12-08T16:46:32Z

New page

Computes matrix exponential integrals of the following general type:

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

Matrix A must be Hermitian. For further information see the paper by
Charles van Loan (http://dx.doi.org/10.1109/TAC.1978.1101743). Syntax:

R=expmint(spin_system,A,B,C,T)

@@ Line 26: / Line 26: @@
 ==See also==
-[[intrep.m]], [[propagator.m]], [[average.m]], [[rotframe.m]], [[dirdiff.m]]
+[[intrep.m]], [[propagator.m]], [[average.m]], [[rotframe.m]], [[dirdiff.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]], [[expmint2.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]], [[trapdiff.m]], [[unit_oper.m]], [[unit_state.m]], [[vvpert.m]], [[Kernel_utilities]]
 ''Version 2.2, authors: [[Luke Edwards]], [[David Goodwin]], [[Ilya Kuprov]]''

@@ Line 10: / Line 10: @@
       R=expmint(spin_system,A,B,C,T)
-==Arguments==
+==Parameters==
      A,B,C   - the three matrices involved in the integral

← Older revision		Revision as of 15:58, 5 June 2026
Line 1:		Line 1:
−	{{DISPLAYTITLE:expmint.m}}	+	{{DISPLAYTITLE:expmint.m}} __NOTOC__
	Computes matrix exponential integrals of the following general type:		Computes matrix exponential integrals of the following general type:

@@ Line 22: / Line 22: @@
 ==Notes==
 The auxiliary matrix method is massively faster than either commutator series or diagonalisation.
 ==See also==

@@ Line 25: / Line 25: @@
 ==See also==
 [[intrep.m]], [[propagator.m]], [[average.m]], [[rotframe.m]], [[dirdiff.m]]
 ''Version 2.2, authors: [[Luke Edwards]], [[David Goodwin]], [[Ilya Kuprov]]''

← Older revision		Revision as of 15:55, 27 August 2018
Line 19:		Line 19:

	R - the resulting integral		R - the resulting integral
		+
		+	==Notes==
		+	The auxiliary matrix method is massively faster than either commutator series or diagonalisation.

	==See also==		==See also==

@@ Line 1: / Line 1: @@
 Computes matrix exponential integrals of the following general type:
               Integrate[expm(-i*A*t)*B*expm(i*C*t),{t,0,T}]
-Matrix A must be Hermitian. For further information see the paper by
+Matrix A must be Hermitian. For further info see the paper by Charles van Loan (http://dx.doi.org/10.1109/TAC.1978.1101743).
-                     R=expmint(spin_system,A,B,C,T)
+==Syntax==