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Short-Term Recurrence Krylov Subspace Methods for Nearly-Hermitian Matrices
The Progressive GMRES algorithm, introduced by Beckermann and Reichel in 2008, is a residual-minimizing short-recurrence Krylov subspace method for solving a linear system in which the coefficient matrix has a low-rank ...
The Stability of GMRES Convergence, with Application to Approximate Deflation Preconditioning
How does GMRES convergence change when the coefficient matrix is perturbed? Using spectral perturbation theory and resolvent estimates, we develop simple, general bounds that quantify the lag in convergence such a perturbation ...