@article{Paige82,
author = {Paige, Christopher C. and Saunders, Michael A.},
- title = {LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares},
+ title = {{LSQR:} An Algorithm for Sparse Linear Equations and Sparse Least Squares},
journal = {ACM Trans. Math. Softw.},
issue_date = {March 1982},
volume = {8},
howpublished = {\url{http://www.mcs.anl.gov/petsc}},
year = {2014}
}
+
+
+@misc{Dav97,
+ author = {Davis, T. and Hu, Y.},
+ title = {The {U}niversity of {F}lorida Sparse Matrix Collection},
+ year = {1997},
+ note = {Digest, \url{http://www.cise.ufl.edu/research/sparse/matrices/}},
+ }
+
+
+@article{Saad:1993,
+ author = {Saad, Y.},
+ title = {A Flexible Inner-outer Preconditioned GMRES Algorithm},
+ journal = {SIAM J. Sci. Comput.},
+ issue_date = {March 1993},
+ volume = {14},
+ number = {2},
+ month = mar,
+ year = {1993},
+ issn = {1064-8275},
+ pages = {461--469},
+ numpages = {9},
+ url = {http://dx.doi.org/10.1137/0914028},
+ doi = {10.1137/0914028},
+ acmid = {160089},
+ publisher = {Society for Industrial and Applied Mathematics},
+ address = {Philadelphia, PA, USA},
+ keywords = {GMRES, Krylov subspace methods, non-Hermitian systems, preconditioned conjugate gradient, variable preconditioners},
+}
+
+@incollection{bahicontascoutu,
+title = {{P}arallel iterative algorithms: from sequential to grid computing},
+author = {Bahi, J.M. and Contassot-Vivier, S. and Couturier, R.},
+booktitle = {Numerical Analysis and Scientific Computing},
+publisher = {Chapman \& Hall/CRC},
+year = {2008},
+}
+
+@Article{Nichols:1973:CTS,
+ author = "Nancy K. Nichols",
+ title = "On the Convergence of Two-Stage Iterative Processes
+ for Solving Linear Equations",
+ journal = "SIAM Journal on Numerical Analysis",
+ volume = "10",
+ number = "3",
+ pages = "460--469",
+ month = jun,
+ year = "1973",
+ CODEN = "SJNAAM",
+ ISSN = "0036-1429 (print), 1095-7170 (electronic)",
+ issn-l = "0036-1429",
+ bibdate = "Fri Oct 16 06:57:22 MDT 1998",
+ bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
+ JSTOR database",
+ acknowledgement = "Nelson H. F. Beebe, University of Utah, Department
+ of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake
+ City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1
+ 801 581 4148, e-mail: \path|beebe@math.utah.edu|,
+ \path|beebe@acm.org|, \path|beebe@computer.org|
+ (Internet), URL:
+ \path|http://www.math.utah.edu/~beebe/|",
+ fjournal = "SIAM Journal on Numerical Analysis",
+ journal-url = "http://epubs.siam.org/sinum",
+}
+
+@article{Meijerink77,
+ author = {Meijerink, J.A. and Vorst, H.A. Van der},
+ title = {An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric {M}-Matrix},
+ journal = {Mathematics of Computation},
+ year = {1977},
+ volume = {31},
+ number = {137},
+ pages = {148--162},
+ publisher = {American Mathematical Society},
+ }
+
+@techreport{Huang89,
+ author = {Huang, Y. and Van der Vorst, H.A.},
+ title = {Some Observations on the Convergence Behavior of {GMRES}},
+ institution = {Delft Univ. Technology},
+ type = { Report 89--09},
+ year = {1989},
+}
+
+@article {Vorst94,
+author = {Van der Vorst, H. A. and Vuik, C.},
+title = {{GMRESR}: a family of nested {GMRES} methods},
+journal = {Numerical Linear Algebra with Applications},
+volume = {1},
+number = {4},
+publisher = {John Wiley & Sons, Ltd},
+issn = {1099-1506},
+url = {http://dx.doi.org/10.1002/nla.1680010404},
+doi = {10.1002/nla.1680010404},
+pages = {369--386},
+year = {1994},
+}
+
+@inproceedings{Yamazaki2014,
+ author = {Yamazaki, Ichitaro and Anzt, Hartwig and Tomov, Stanimire and Hoemmen, Mark and Dongarra, Jack},
+ title = {Improving the Performance of CA-GMRES on Multicores with Multiple GPUs},
+ booktitle = {Proceedings of the 2014 IEEE 28th International Parallel and Distributed Processing Symposium},
+ series = {IPDPS '14},
+ year = {2014},
+ isbn = {978-1-4799-3800-1},
+ pages = {382--391},
+ numpages = {10},
+ url = {http://dx.doi.org/10.1109/IPDPS.2014.48},
+ doi = {10.1109/IPDPS.2014.48},
+ acmid = {2650529},
+ publisher = {IEEE Computer Society},
+ address = {Washington, DC, USA},
+}
+
+@techreport{Hoemmen2010,
+ author = {Hoemmen, Mark},
+ title = {Communication-avoiding Krylov subspace methods},
+ institution = {University of California, Berkeley},
+ type = {Ph.D. thesis},
+ url = {http://www.cs.berkeley.edu/~mhoemmen/pubs/thesis.pdf},
+ year = {2010},
+}
+
+@inproceedings{Mohiyuddin2009,
+ author = {Mohiyuddin, Marghoob and Hoemmen, Mark and Demmel, James and Yelick, Katherine},
+ title = {Minimizing Communication in Sparse Matrix Solvers},
+ booktitle = {Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis},
+ series = {SC '09},
+ year = {2009},
+ isbn = {978-1-60558-744-8},
+ location = {Portland, Oregon},
+ pages = {36:1--36:12},
+ articleno = {36},
+ numpages = {12},
+ url = {http://doi.acm.org/10.1145/1654059.1654096},
+ doi = {10.1145/1654059.1654096},
+ acmid = {1654096},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+}
+
+
+
+
