Re: [petsc-users] [SLEPc] Performance of Krylov-Schur with MUMPS-based shift-and-invert

2018-02-28 Thread Jose E. Roman
Balancing may reduce the norm of the matrix or the condition number of some eigenvalues. It applies to the ST operator, (A-sigma*B)^{-1}*B in case of shift-and-invert. The case that sigma is close to an eigenvalue is usually not a problem, provided that you use a robust direct solver (MUMPS). In

Re: [petsc-users] [SLEPc] Performance of Krylov-Schur with MUMPS-based shift-and-invert

2018-02-27 Thread Thibaut Appel
Good afternoon Mr Roman, Thank you very much for your detailed and quick answer. I'll make the use of eps_view and log_view and see if I can optimize the preallocation of my matrix. Good to know that it is possible to play with the "mpd" parameter, I thought it was only for when large values

Re: [petsc-users] [SLEPc] Performance of Krylov-Schur with MUMPS-based shift-and-invert

2018-02-19 Thread Jose E. Roman
> El 19 feb 2018, a las 19:15, Thibaut Appel > escribió: > > Good afternoon, > > I am solving generalized eigenvalue problems {Ax = omegaBx} in complex > arithmetic, where A is non-hermitian and B is singular. I think the only way > to get round the singularity is to employ a shift-and-inve

[petsc-users] [SLEPc] Performance of Krylov-Schur with MUMPS-based shift-and-invert

2018-02-19 Thread Thibaut Appel
Good afternoon, I am solving generalized eigenvalue problems {Ax = omegaBx} in complex arithmetic, where A is non-hermitian and B is singular. I think the only way to get round the singularity is to employ a shift-and-invert method, where I am using MUMPS to invert the shifted matrix. I am u