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SUMMARY:Hierarchically deflated conjugate residua
DTSTART;VALUE=DATE-TIME:20160726T180000Z
DTEND;VALUE=DATE-TIME:20160726T190000Z
DTSTAMP;VALUE=DATE-TIME:20200927T141355Z
UID:indico-contribution-2500@conference.ippp.dur.ac.uk
DESCRIPTION:Speakers: Azusa Yamaguchi (Software Architect)\, Peter Boyle (
University of Edinburgh)\nHierarchically deflated conjugate residual\n\nWe
present a new class of multigrid solver algorithm suitable for the soluti
on of 5d chiral fermions such as Domain Wall fermions\nand the Continued F
raction overlap. Unlike HDCG \\cite{arXiv:1402.2585}\, the algorithm\nwork
s directly on a nearest neighbour fine operator. The fine operator used is
Hermitian indefinite\, for example $\\Gamma_5 D_{dwf}$\,\nand convergence
is achieved with an indefinite matrix solver such as outer iteration base
d on conjugate residual.\nAs a result coarse space representations of the
operator remain nearest neighbour\, giving an 8 point stencil rather than
the 81 point stencil used in HDCG.\nIt is hoped this may make it viable to
recalculate the matrix elements of the little Dirac operator in an HMC ev
olution.\n\nhttps://conference.ippp.dur.ac.uk/event/470/contributions/2500
/
LOCATION:Highfield Campus\, University of Southampton
URL:https://conference.ippp.dur.ac.uk/event/470/contributions/2500/
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