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Broyden minimisation


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  • From: Konstantin Rushchanskii <Konstantin.Rushchanskii@physik.uni-regensburg.de>
  • To: forum@abinit.org
  • Subject: Broyden minimisation
  • Date: Thu, 05 May 2005 15:12:15 +0200

Dear all,

exploring fileSrc_9drive/brdmin.f I have found, that the coordinates for the next iteration
are obtained from the old coordinates, hessian and forces in the form:

! New atomic cartesian coordinates are obtained from vin, hessin and vout
do idim=1,ndim
vin(:)=vin(:)-hessin(:,idim)*vout(idim)
enddo

I would like to ask, would'nt it be more flexible if a factor (similar to dtset%strprecon,
but less than unity) is added to tune an amplitude of coordinates changing,
especially for the systems that have more that one local minima?

Say, in the form
vin(:)=vin(:)-hessin(:,idim)*vout(idim)*dtset%broydenmix

I have a trouble with finding the equilibrium configuration of ferroelectric phase starting from the experimental data,
because my system is falling down to the equilibrium paraelectric phase configuration with higher symmetry.
I suppose, the reason is a big amplitude of the forces in the first Broyden steps, and the application of the mentioned
factor could control the minimisation process.

Sincerely,
K.R.


--
K.Rushchanskii, Dr.
Theoretische Physik, Universität Regensburg
93040 Regensburg Germany
tel: +49 (0) 941-943-2466 fax: +49 (0) 941-943-4382



  • Broyden minimisation, Konstantin Rushchanskii, 05/05/2005

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