14 citations · 14 across the 1 of their papers we have counts for
5 papers
A block Recycled GMRES method with investigations into aspects of solver performance
Michael L. Parks, Kirk M. Soodhalter, Daniel B. Szyld
We propose a block Krylov subspace version of the GCRO-DR method proposed in [Parks et al.; SISC 2005], which is an iterative method allowing for the efficient minimization of the…
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…
Krylov Subspace Recycling For Matrix Functions
Liam Burke, Andreas Frommer, Gustavo Ramirez-Hidalgo +1
We derive an augmented Krylov subspace method with subspace recycling for computing a sequence of matrix function applications on a set of vectors. The matrix is either fixed or ch…
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 nonsi…