58 citations · 113 across the 21 of their papers we have counts for
25 papers
Constraints on admissible behavior of GMRES applied to tridiagonal Toeplitz systems
Fei Chen, Kirk M. Soodhalter
The result of Greenbaum, Pták, and Strakoš that for a given set of eigenvalues, any convergence curve is possible [SIMAX 1996] and the subsequent parameterization of such matrix-ri…
Admissible and attainable convergence behavior with stagnation mirroring in restarted (block) GMRES
Kirk M. Soodhalter
In this work, we describe how to construct matrices and block right-hand sides that exhibit a specified restarted block \gmres convergence pattern, such that the eigenvalues and Ri…
Hybrid CG-Tikhonov is a filtration of the CG Lanczos vectors
Daniel Gerth, Kirk M. Soodhalter
We consider iterative methods for solving linear ill-posed problems with compact operator and right-hand side only available via noise-polluted measurements. Conjugate gradients (C…
GMRES with randomized sketching and deflated restarting
Liam Burke, Stefan Güttel, Kirk M. Soodhalter
We present a new Krylov subspace recycling method for solving a linear system of equations, or a sequence of slowly changing linear systems. Our approach is to reduce the computati…
Chebyshev HOPGD with sparse grid sampling for parameterized linear systems
Siobhán Correnty, Melina A. Freitag, Kirk M. Soodhalter
We consider approximating solutions to parameterized linear systems of the form . Here the matrix is nonsingular…
The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods
Petr Vacek, Erin Carson, Kirk M. Soodhalter
The multigrid V-cycle method is a popular method for solving systems of linear equations. It computes an approximate solution by using smoothing on fine levels and solving a system…