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},
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21 publisher = {Oxford University Press},
22 title = {{Finite Elements and Fast Iterative Solvers with Applications in Incompressible Fluid Dynamics}},
28 author = {Eiermann,Michael and Ernst,Oliver G.},
29 title = {Geometric aspects of the theory of Krylov subspace methods},
30 journal = {Acta Numerica},
37 doi = {10.1017/S0962492901000046},
42 title = {Iterative Methods for Sparse Linear Systems},
46 publisher = {Society for Industrial and Applied Mathematics},
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56 title = {Methods of conjugate gradients for solving linear systems},
62 author = {Paige, Christopher C. and Saunders, Michael A.},
63 title = {{LSQR:} An Algorithm for Sparse Linear Equations and Sparse Least Squares},
64 journal = {ACM Trans. Math. Softw.},
65 issue_date = {March 1982},
73 url = {http://doi.acm.org/10.1145/355984.355989},
74 doi = {10.1145/355984.355989},
77 address = {New York, NY, USA},
81 author = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Jed Brown and Peter Brune
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86 title = {{PETS}c {W}eb page},
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88 howpublished = {\url{http://www.mcs.anl.gov/petsc}},
94 author = {Davis, T. and Hu, Y.},
95 title = {The {U}niversity of {F}lorida Sparse Matrix Collection},
97 note = {Digest, \url{http://www.cise.ufl.edu/research/sparse/matrices/}},
103 title = {A Flexible Inner-outer Preconditioned GMRES Algorithm},
104 journal = {SIAM J. Sci. Comput.},
105 issue_date = {March 1993},
113 url = {http://dx.doi.org/10.1137/0914028},
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118 keywords = {GMRES, Krylov subspace methods, non-Hermitian systems, preconditioned conjugate gradient, variable preconditioners},
121 @incollection{bahicontascoutu,
122 title = {{P}arallel iterative algorithms: from sequential to grid computing},
123 author = {Bahi, J.M. and Contassot-Vivier, S. and Couturier, R.},
124 booktitle = {Numerical Analysis and Scientific Computing},
125 publisher = {Chapman \& Hall/CRC},
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143 bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
145 acknowledgement = "Nelson H. F. Beebe, University of Utah, Department
146 of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake
147 City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1
148 801 581 4148, e-mail: \path|beebe@math.utah.edu|,
149 \path|beebe@acm.org|, \path|beebe@computer.org|
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158 title = {An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric {M}-Matrix},
159 journal = {Mathematics of Computation},
164 publisher = {American Mathematical Society},
168 author = {Huang, Y. and Van der Vorst, H.A.},
169 title = {Some Observations on the Convergence Behavior of {GMRES}},
170 institution = {Delft Univ. Technology},
171 type = { Report 89--09},
176 author = {Van der Vorst, H. A. and Vuik, C.},
177 title = {{GMRESR}: a family of nested {GMRES} methods},
178 journal = {Numerical Linear Algebra with Applications},
181 publisher = {John Wiley & Sons, Ltd},
183 url = {http://dx.doi.org/10.1002/nla.1680010404},
184 doi = {10.1002/nla.1680010404},
189 @inproceedings{Yamazaki2014,
190 author = {Yamazaki, Ichitaro and Anzt, Hartwig and Tomov, Stanimire and Hoemmen, Mark and Dongarra, Jack},
191 title = {Improving the Performance of CA-GMRES on Multicores with Multiple GPUs},
192 booktitle = {Proceedings of the 2014 IEEE 28th International Parallel and Distributed Processing Symposium},
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207 title = {Communication-avoiding Krylov subspace methods},
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216 title = {Minimizing Communication in Sparse Matrix Solvers},
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245 note={{O}nline version, 10.1007/s11227-014-1367-7},
246 publisher = {Springer},