Hi everyone,

Thank you all for your incredible guides.
It seems that I've been choosing wrong solver for my problem. Since my 
problem has some sort of instability in its nature, 
although my system_matrix is symmetric, it is not necessarily positive 
definite. So I have two questions: 
First, Is there any function in Dealii or Petsc to compute the determinant 
of system_matrix. I have used a determinant function for 3*3 matrices and 
it doesn't work for higher dimensions.
Second, which solver and preconditioner can be used for symmetric but 
non-positive definite system_matrix.

Thanks


On Tuesday, October 18, 2016 at 9:49:03 AM UTC-5, Wolfgang Bangerth wrote:
>
> >     which solvers do you think I can examin and see if they can be used 
> >     instead of SolverCG? 
>
> That's the wrong question. If you know that the matrix you have *should 
> be* 
> symmetric and positive definite, but the CG solver does not converge, then 
> you 
> need to debug why the matrix *is not* s.p.d. Using a different solver 
> might 
> allow you to solve the linear system, but since the linear system is 
> apparently not the correct one, the solution will also not be correct. 
>
> Best 
>   W. 
>
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 bang...@colostate.edu 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>
>

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