Re: [petsc-dev] Symmetry acceleration of the Jacobi-Davidson method (in SLEPc)

2015-02-14 Thread Krzysztof Gawarecki
Thank you for a fast response and very interesting idea. The matrix A is Hermitian. However I forgot, that T contains not only the matrix but also the operator of complex conjugation: T = M K, where K is a operator of complex conjugation and M has a form ( 0 0 0 0 -1 0 0 0 )

Re: [petsc-dev] Symmetry acceleration of the Jacobi-Davidson method (in SLEPc)

2015-02-13 Thread Jose E. Roman
El 13/02/2015, a las 15:06, Krzysztof Gawarecki escribió: > Dear All, > > I'm calculating eigenvalues and eigenvectors of the matrix which has specific > kind of symmetry. > Due to this symmetry I obtain the eigenvalues which are doubly degenerated. > So eg. eigeinvalue 'e1' has eigenvectors '

Re: [petsc-dev] Symmetry acceleration of the Jacobi-Davidson method (in SLEPc)

2015-02-13 Thread Tobin Isaac
On Fri, Feb 13, 2015 at 03:06:38PM +0100, Krzysztof Gawarecki wrote: > Dear All, > > I'm calculating eigenvalues and eigenvectors of the matrix which has > specific kind of symmetry. > Due to this symmetry I obtain the eigenvalues which are doubly degenerated. > So eg. eigeinvalue 'e1' has eigenv

[petsc-dev] Symmetry acceleration of the Jacobi-Davidson method (in SLEPc)

2015-02-13 Thread Krzysztof Gawarecki
Dear All, I'm calculating eigenvalues and eigenvectors of the matrix which has specific kind of symmetry. Due to this symmetry I obtain the eigenvalues which are doubly degenerated. So eg. eigeinvalue 'e1' has eigenvectors 'a1' and 'b1'. These eigenvectors are related to each other by the relation