On 3/7/19 7:45 AM, Bruno Blais wrote:
> 
> However, my GMRES stops very quickly after a certain number of newton 
> iteration with the following :     AztecOO::Iterate error code -4: GMRES 
> Hessenberg ill-conditioned

This is surprising and suggests that something is wrong with the matrix, not 
the right hand side. At least that's what I think this probably means. Did you 
have the same error when you did not modify the right hand side? What happens 
if you just artificially create a right hand side that you know is in the 
range, for example by picking a random vector and multiplying it by the matrix?

Best
  W.

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Wolfgang Bangerth          email:                 [email protected]
                            www: http://www.math.colostate.edu/~bangerth/

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