by Michael L. Parks, Kirk M. Soodhalter, Daniel B. Szyld
Abstract:
We extend the GCRODR algorithm (GMRES with recycling) of Parks et al [SIAM J. Sci. Comput. 2006] to the block Krylov subspace setting for solving systems with multiple physical right-hand sides and for acceleration through the introduction of fictitious right-hand sides. We demonstrate the method's effectiveness in reducing the cost of a Newton iteration arising from fluid Density Functional Theory.
Reference:
A block Recycled GMRES method with investigations into aspects of solver performance (Michael L. Parks, Kirk M. Soodhalter, Daniel B. Szyld), In ArXiv e-prints (and submitted for publication), 2016. (Supplementary Materials)(Matlab code)(Trilinos code)
Bibtex Entry:
@ARTICLE{PSS.2016,
author = {Michael L. Parks and Kirk M. Soodhalter and Daniel B. Szyld},
title = "{A block Recycled GMRES method with investigations into aspects of solver performance}",
journal = {ArXiv e-prints (and submitted for publication)},
archivePrefix = "arXiv",
eprint = {1604.01713},
primaryClass = "math.NA",
keywords = {Mathematics - Numerical Analysis, Computer Science - Numerical Analysis, 65F10},
year = 2016,
keywords = {paper},
owner = {kirk},
abstract = {We extend the GCRODR algorithm (GMRES with recycling) of Parks et
al [SIAM J. Sci. Comput. 2006] to the block Krylov subspace setting
for solving systems with multiple physical right-hand sides and for
acceleration through the introduction of fictitious right-hand sides.
We demonstrate the method's effectiveness in reducing the cost of
a Newton iteration arising from fluid Density Functional Theory.},
url= {http://arxiv.org/abs/1604.01713},
comment={<a href="https://math.temple.edu/~szyld/reports/block-GCRO.rawDataTables.pdf">Supplementary Materials</a>)(<a href="https://zenodo.org/record/48836?ln=en#.VwZVEz_Nqyo">Matlab code</a>)(<a href="https://trilinos.org/download/">Trilinos code</a>},
}