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| Abstract: Convergence results are provided for inexact two-sided inverse and Rayleigh quotient iteration which extend the previously established results to the generalized eigenproblem and inexact solves with a decreasing solve tolerance. Moreover the simultaneous solution of the forward and adjoint problem arising in two-sided methods is considered and the successful tuning strategy for preconditioners is extended to two-sided methods. Furthermore it is shown that inexact two-sided Rayleigh quotient iteration and the inexact two-sided Jacobi-Davidson method (without subspace expansion) applied to the generalized preconditioned eigenvalue problem are equivalent when a certain number of steps of a Petrov-Galerkin-Krylov method is used and when this specific tuning strategy is applied. |
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