A. T. Chronopoulos and W. Gear, s-step iterative methods for symmetric linear systems, Journal of Computational and Applied Mathematics, vol.25, issue.2, pp.153-168, 1989.
DOI : 10.1016/0377-0427(89)90045-9

T. A. Davis, The university of Florida sparse matrix collection, ACM Transactions on Mathematical Software, vol.38, issue.1, 1994.
DOI : 10.1145/2049662.2049663

J. Demmel, L. Grigori, M. Hoemmen, and J. Langou, Communication-optimal Parallel and Sequential QR and LU Factorizations, SIAM Journal on Scientific Computing, vol.34, issue.1, pp.206-239, 2012.
DOI : 10.1137/080731992
URL : https://hal.archives-ouvertes.fr/hal-00870930

J. Demmel, M. Heath, H. Van, and . Vorst, Parallel numerical linear algebra, Acta Numerica, vol.10, p.111197, 1993.
DOI : 10.1007/BF01932738

R. Fletcher, Conjugate gradient methods for indefinite systems, Numerical Analysis, p.7389, 1976.
DOI : 10.1137/0117118

P. Ghysels, T. J. Ashby, K. Meerbergen, and W. Vanroose, Hiding Global Communication Latency in the GMRES Algorithm on Massively Parallel Machines, SIAM Journal on Scientific Computing, vol.35, issue.1, p.4871, 2013.
DOI : 10.1137/12086563X

G. H. Golub and D. P. Leary, Some History of the Conjugate Gradient and Lanczos Algorithms: 1948???1976, SIAM Review, vol.31, issue.1, pp.50-102, 1989.
DOI : 10.1137/1031003

P. Gosselet, D. Rixen, F. Roux, and N. Spillane, Simultaneous-FETI and related block strategies: robust domain decomposition methods for engineering problems, 2014.

L. Grigori and S. Moufawad, Communication Avoiding ILU0 Preconditioner, SIAM Journal on Scientific Computing, vol.37, issue.2, 2013.
DOI : 10.1137/130930376
URL : https://hal.archives-ouvertes.fr/hal-00803250

L. Grigori, F. Nataf, and S. Yousef, Robust algebraic Schur complement preconditioners based on low rank corrections, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01017448

W. Gropp, Update on Libraries for Blue Waters

T. Gu, X. Liu, Z. Mo, and X. Chi, Multiple search direction conjugate gradient method I: methods and their propositions, International Journal of Computer Mathematics, vol.155, issue.9, pp.1133-1143, 2004.
DOI : 10.1137/0913032

F. Hecht, New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.251-265, 2012.
DOI : 10.1515/jnum-2012-0013

M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, Journal of research of the National Bureau of Standards, vol.49, p.409436, 1952.

M. Hoemmen, Communication-Avoiding Krylov Subspace Methods, 2010.

G. Karypis and V. Kumar, Metis 4.0: Unstructured graph partitioning and sparse matrix ordering system, 1998.

C. Lanczos, Solution of systems of linear equations by minimized iterations, Journal of Research of the National Bureau of Standards, vol.49, issue.1, pp.33-53, 1952.
DOI : 10.6028/jres.049.006

B. Lowery and J. Langou, Stability Analysis of QR factorization in an Oblique Inner Product. ArXiv e-prints, 2014.

M. Mohiyuddin, M. Hoemmen, J. Demmel, and K. Yelick, Minimizing communication in sparse matrix solvers, Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, SC '09, p.112, 2009.
DOI : 10.1145/1654059.1654096

D. P. Leary, The block conjugate gradient algorithm and related methods, Linear Algebra and its Applications, vol.29, pp.293-322, 1980.
DOI : 10.1016/0024-3795(80)90247-5

D. J. Rixen, Substructuring and Dual Methods in Structural Analysis, des Publications de la Faculté des Sciences appliquées, p.175, 1997.

M. Rozloznik, M. Tuma, A. Smoktunowicz, and J. Kopal, Numerical stability of orthogonalization methods with a non-standard inner product, BIT Numerical Mathematics, vol.19, issue.1, pp.1035-1058, 2012.
DOI : 10.1007/s10543-012-0398-9

Y. Saad and M. H. Schultz, GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, p.856869, 1986.
DOI : 10.1137/0907058

R. Thakur and W. Gropp, Improving the Performance of Collective Operations in MPICH, Proceeding of the 10th European PVM/MPI Users, 2003.
DOI : 10.1007/978-3-540-39924-7_38

H. Van and . Vorst, Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems, SIAM Journal on Scientific and Statistical Computing, vol.13, issue.2, pp.631-644, 1992.

J. Van-rosendale, Minimizing inner product data dependence in conjugate gradient iteration, Proceeding IEEE International Conference on Parallel Processing, 1983.

H. F. Walker, Implementation of the GMRES Method Using Householder Transformations, SIAM Journal on Scientific and Statistical Computing, vol.9, issue.1
DOI : 10.1137/0909010