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},
21 address = {Philadelphia, PA, USA},
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
56 and Kris Buschelman and Victor Eijkhout and William~D. Gropp
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},
61 url = {http://www.mcs.anl.gov/petsc},
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},
103 @Article{Nichols:1973:CTS,
104 author = "Nancy K. Nichols",
105 title = "On the Convergence of Two-Stage Iterative Processes
106 for Solving Linear Equations",
107 journal = "SIAM Journal on Numerical Analysis",
114 ISSN = "0036-1429 (print), 1095-7170 (electronic)",
115 issn-l = "0036-1429",
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|
125 \path|http://www.math.utah.edu/~beebe/|",
126 fjournal = "SIAM Journal on Numerical Analysis",
127 journal-url = "http://epubs.siam.org/sinum",
130 @article{Meijerink77,
131 author = {Meijerink, J.A. and Vorst, H.A. Van der},
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},