Campos, Carmen; Román Moltó, José Enrique(Wiley, 2016-08)
Methods for the polynomial eigenvalue problem sometimes need to be followed by an iterative refinement process to improve the accuracy of the computed solutions. This can be accomplished by means of a Newton iteration ...
Campos, Carmen; Román Moltó, José Enrique(Society for Industrial and Applied Mathematics, 2016)
Polynomial eigenvalue problems are often found in scientific computing applications. When the coefficient matrices of the polynomial are large and sparse, usually only a few eigenpairs are required and projection methods ...
Campos, Carmen; Román Moltó, José Enrique(Springer Verlag (Germany), 2016-12)
We investigate how to adapt the Q-Arnoldi method for the case of symmetric quadratic eigenvalue problems, that is, we are interested in computing a few eigenpairs of with M, C, K symmetric matrices. This problem has no ...
[EN] Integration of Shift-and-Invert Parallel Spectral Transformation (SIPs) eigensolver (as implemented in the SLEPc library) into an ab initio molecular dynamics package, SIESTA, is described. The effectiveness of the ...