This report is concerned with the computation of the minimal eigenpair of the generalized eigen-problem. An iterative method of first degree with the arithmetic mean preconditioner and the SSOR preconditioner has been analyzed. These preconditioners have been evaluated also for the method of Rayleigh quotient minimization.The Fortran 77 codes carried out on multivector computer Cray Y-MP implementing the algorithms described above, are reported in appendix.
Galligani, Emanuele e Ruggiero, V.. "Computation of minimal eigenpair in the large sparse generalized eigen-problem using vector computer" Working paper, CNR, Collana del progetto finalizzato “Sistemi Informatici e Calcolo Parallelo”, sottoprogetto 1 “Calcolo Scientifico per Grandi Sistemi”, 1991.
Computation of minimal eigenpair in the large sparse generalized eigen-problem using vector computer
GALLIGANI, Emanuele;
1991
Abstract
This report is concerned with the computation of the minimal eigenpair of the generalized eigen-problem. An iterative method of first degree with the arithmetic mean preconditioner and the SSOR preconditioner has been analyzed. These preconditioners have been evaluated also for the method of Rayleigh quotient minimization.The Fortran 77 codes carried out on multivector computer Cray Y-MP implementing the algorithms described above, are reported in appendix.
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