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…
Do you precondition on the left or on the right?
Nicole Spillane, Pierre Matalon, Daniel B Szyld
This work is a follow-up to a poster that was presented at the DD29 conference. Participants were asked the question: ``Do you precondition on the left or on the right?''. Here we…
Improved Polynomial Bounds and Acceleration of GMRES by Solving a min-max Problem on Rectangles, and by Deflating
Nicole Spillane, Daniel B Szyld
Polynomial convergence bounds are considered for left, right, and split preconditioned GMRES. They include the cases of Weighted and Deflated GMRES for a linear system Ax = b. In p…
Multiprecision computations with Schwarz methods
Michal Outrata, Daniel B. Szyld
Schwarz methods and preconditioners, where the approximate solution of the local problems is performed at a lower precision, i.e., with fewer digits of accuracy than in the underly…
Analysis of Randomized Householder-Cholesky QR Factorization with Multisketching
Andrew J. Higgins, Daniel B. Szyld, Erik G. Boman +1
CholeskyQR2 and shifted CholeskyQR3 are two state-of-the-art algorithms for computing tall-and-skinny QR factorizations since they attain high performance on current computer archi…