2 author = {Saad, Y. and Schultz, M.H.},
3 title = {{GMRES} : a Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems},
4 journal = {SIAM J. Sci. Stat. Comput.},
9 publisher = {Society for Industrial and Applied Mathematics},
10 address = {Philadelphia, PA, USA},
16 title = {Iterative Methods for Sparse Linear Systems},
20 publisher = {Society for Industrial and Applied Mathematics},
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26 author = {Hestenes, M. R. and Stiefel, E.},
27 journal = {Journal of research of the National Bureau of Standards},
29 timestamp = {2008-10-07T16:03:39.000+0200},
30 title = {Methods of conjugate gradients for solving linear systems},
36 author = {Paige, Christopher C. and Saunders, Michael A.},
37 title = {{LSQR:} An Algorithm for Sparse Linear Equations and Sparse Least Squares},
38 journal = {ACM Trans. Math. Softw.},
39 issue_date = {March 1982},
47 url = {http://doi.acm.org/10.1145/355984.355989},
48 doi = {10.1145/355984.355989},
51 address = {New York, NY, USA},
55 author = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Jed Brown and Peter Brune
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57 and Dinesh Kaushik and Matthew~G. Knepley
58 and Lois Curfman McInnes and Karl Rupp and Barry~F. Smith
60 title = {{PETS}c {W}eb page},
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62 howpublished = {\url{http://www.mcs.anl.gov/petsc}},
68 author = {Davis, T. and Hu, Y.},
69 title = {The {U}niversity of {F}lorida Sparse Matrix Collection},
71 note = {Digest, \url{http://www.cise.ufl.edu/research/sparse/matrices/}},
77 title = {A Flexible Inner-outer Preconditioned GMRES Algorithm},
78 journal = {SIAM J. Sci. Comput.},
79 issue_date = {March 1993},
87 url = {http://dx.doi.org/10.1137/0914028},
88 doi = {10.1137/0914028},
90 publisher = {Society for Industrial and Applied Mathematics},
91 address = {Philadelphia, PA, USA},
92 keywords = {GMRES, Krylov subspace methods, non-Hermitian systems, preconditioned conjugate gradient, variable preconditioners},
95 @incollection{bahicontascoutu,
96 title = {{P}arallel iterative algorithms: from sequential to grid computing},
97 author = {Bahi, J.M. and Contassot-Vivier, S. and Couturier, R.},
98 booktitle = {Numerical Analysis and Scientific Computing},
99 publisher = {Chapman \& Hall/CRC},
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105 title = "On the Convergence of Two-Stage Iterative Processes
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107 journal = "SIAM Journal on Numerical Analysis",
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116 bibdate = "Fri Oct 16 06:57:22 MDT 1998",
117 bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
119 acknowledgement = "Nelson H. F. Beebe, University of Utah, Department
120 of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake
121 City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1
122 801 581 4148, e-mail: \path|beebe@math.utah.edu|,
123 \path|beebe@acm.org|, \path|beebe@computer.org|
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132 title = {An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric {M}-Matrix},
133 journal = {Mathematics of Computation},
138 publisher = {American Mathematical Society},
142 author = {Huang, Y. and Van der Vorst, H.A.},
143 title = {Some Observations on the Convergence Behavior of {GMRES}},
144 institution = {Delft Univ. Technology},
145 type = { Report 89--09},
150 author = {Van der Vorst, H. A. and Vuik, C.},
151 title = {{GMRESR}: a family of nested {GMRES} methods},
152 journal = {Numerical Linear Algebra with Applications},
155 publisher = {John Wiley & Sons, Ltd},
157 url = {http://dx.doi.org/10.1002/nla.1680010404},
158 doi = {10.1002/nla.1680010404},
163 @inproceedings{Yamazaki2014,
164 author = {Yamazaki, Ichitaro and Anzt, Hartwig and Tomov, Stanimire and Hoemmen, Mark and Dongarra, Jack},
165 title = {Improving the Performance of CA-GMRES on Multicores with Multiple GPUs},
166 booktitle = {Proceedings of the 2014 IEEE 28th International Parallel and Distributed Processing Symposium},
167 series = {IPDPS '14},
169 isbn = {978-1-4799-3800-1},
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180 author = {Hoemmen, Mark},
181 title = {Communication-avoiding Krylov subspace methods},
182 institution = {University of California, Berkeley},
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184 url = {http://www.cs.berkeley.edu/~mhoemmen/pubs/thesis.pdf},
188 @inproceedings{Mohiyuddin2009,
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190 title = {Minimizing Communication in Sparse Matrix Solvers},
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217 title = {A scalable multisplitting algorithm to solve large sparse linear systems},
218 journal = {The journal of Supercomputing},
219 note={{O}nline version, 10.1007/s11227-014-1367-7},
220 publisher = {Springer},