Quite different:

2-NORM(residualVec):   9802864883082.29
2-NORM(ksp):  6.802405785457120E-015

Perhaps I’m doing something else wrong?

From: Barry Smith <bsm...@petsc.dev>
Sent: Monday, December 6, 2021 11:58 AM
To: Fischer, Greg A. <fisch...@westinghouse.com>
Cc: petsc-users@mcs.anl.gov
Subject: Re: [petsc-users] KSPBuildResidual and KSPType compatibility

[External Email]

  This algorithm computes the residual norms indirectly (this is part of the 
"trick" of the algorithm to reduce the number of global reductions needed), 
thus they may not match the actual residual norm computed by || b - A x ||. How 
different are your values?

  Barry



On Dec 6, 2021, at 11:19 AM, Fischer, Greg A. via petsc-users 
<petsc-users@mcs.anl.gov<mailto:petsc-users@mcs.anl.gov>> wrote:

Hello petsc-users,

I would like to check convergence against the infinity norm, so I defined my 
own convergence test routine with KSPSetConvergenceTest. (I understand that it 
may be computationally expensive.)

I would like to do this with the “ibcgs” method. When I use KSPBuildResidual 
and calculate the NORM_2 against the output vector, I get a value that differs 
from the 2-norm that gets passed into the convergence test function. However, 
when I switch to the “gcr” method, the value I calculate matches the function 
input value.

Is the KSPBuildResidual function only compatible with a subset of the KSPType 
methods? If I want to evaluate convergence against the infinity norm, do I need 
to set KSPSetInitialGuessNonzero and continually re-start the solver with a 
lower tolerance values until I get a satisfactory value of the infinity norm?

Thanks,
Greg


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