[petsc-dev] Yet more KSPs

Keita Teranishi keita at cray.com
Thu Apr 22 14:51:34 CDT 2010


I am wondering if you have any plan to implement Induced Dimension Reduction (IDR(s) by Sonneveld and van Gijzen) in PETSc.

 Keita Teranishi
 Scientific Library Group
 Cray, Inc.
 keita at cray.com

From: petsc-dev-bounces at mcs.anl.gov [mailto:petsc-dev-bounces at mcs.anl.gov] On Behalf Of Victor Eijkhout
Sent: Thursday, April 22, 2010 2:33 PM
To: For users of the development version of PETSc
Subject: Re: [petsc-dev] Yet more KSPs

On 2010/04/12, at 1:28 AM, Matthew Knepley wrote:

Someone has gone the extra mile and made an A-orthogonal Lanczos


Is that hard? Basically a slightly different inner product. A-orthogonalization gives L2 minimal residuals. (Under the ordinary inner product the residuals are minimal in the A^{-1} norm)

It appears to outperform BiCGStab in enough of their tests

That might be true since BiCGS is based on the ordinary Lanczos / BiCG.

Hm. Why not do an A-orthogonal BicGstab. Hold on. Let me grab some scrap paper.....


Victor Eijkhout -- 865 974 9308
eijkhout at cs.utk.edu http://www.cs.utk.edu/~eijkhout/

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