From: couturie Date: Tue, 15 Sep 2015 14:16:23 +0000 (+0200) Subject: new X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/commitdiff_plain/dc78d221932044772c633e437e2cd905d13ed269 new --- diff --git a/IJHPCN/paper.tex b/IJHPCN/paper.tex index abe4b2d..61d09cf 100644 --- a/IJHPCN/paper.tex +++ b/IJHPCN/paper.tex @@ -49,9 +49,7 @@ \makeatletter \def\theequation{\arabic{equation}} -%\JOURNALNAME{\TEN{\it Int. J. System Control and Information -%Processing, -%Vol. \theVOL, No. \theISSUE, \thePUBYEAR\hfill\thepage}}% +\JOURNALNAME{\TEN{\it International Journal of High Performance Computing and Networking}} % %\def\BottomCatch{% %\vskip -10pt @@ -109,19 +107,25 @@ Data} \begin{abstract} -In this article, a two-stage iterative algorithm is proposed to improve the +In this paper, a two-stage iterative algorithm is proposed to improve the convergence of Krylov based iterative methods, typically those of GMRES -variants. The principle of the proposed approach is to build an external -iteration over the Krylov method, and to frequently store its current residual +variants. The principle of the proposed approach is to build an external +iteration over the Krylov method, and to frequently store its current residual (at each GMRES restart for instance). After a given number of outer iterations, a least-squares minimization step is applied on the matrix composed by the saved -residuals, in order to compute a better solution and to make new iterations if -required. It is proven that the proposal has the same convergence properties -than the inner embedded method itself. Experiments using up to 16,394 cores -also show that the proposed algorithm runs around 5 or 7 times faster than -GMRES. +residuals, in order to compute a better solution and to make new iterations if +required. It is proven that the proposal has the same convergence properties +than the inner embedded method itself. +%%NEW +Several experiments have been performed +with the PETSc solver with linear and nonlinear problems. They show good +speedups compared to GMRES with up to 16,394 cores with different +preconditioners. +%%ENDNEW \end{abstract} + + \KEYWORD{Iterative Krylov methods; sparse linear and non linear systems; two stage iteration; least-squares residual minimization; PETSc.} %\REF{to this paper should be made as follows: Rodr\'{\i}guez @@ -131,28 +135,11 @@ GMRES. %Semantics and Ontologies}, Vol. x, No. x, pp.xxx\textendash xxx.} \begin{bio} -Manuel Pedro Rodr\'iguez Bol\'ivar received his PhD in Accounting at -the University of Granada. He is a Lecturer at the Department of -Accounting and Finance, University of Granada. His research -interests include issues related to conceptual frameworks of -accounting, diffusion of financial information on Internet, Balanced -Scorecard applications and environmental accounting. He is author of -a great deal of research studies published at national and -international journals, conference proceedings as well as book -chapters, one of which has been edited by Kluwer Academic -Publishers.\vs{9} - -\noindent Bel\'en Sen\'es Garc\'ia received her PhD in Accounting at -the University of Granada. She is a Lecturer at the Department of -Accounting and Finance, University of Granada. Her research -interests are related to cultural, institutional and historic -accounting and in environmental accounting. She has published -research papers at national and international journals, conference -proceedings as well as chapters of books.\vs{8} - -\noindent Both authors have published a book about environmental -accounting edited by the Institute of Accounting and Auditing, -Ministry of Economic Affairs, in Spain in October 2003. +Raphaël Couturier .... + +\noindent Lilia Ziane Khodja ... + +\noindent Christophe Guyeux ... \end{bio}