S. F. Ashby, T. A. Manteuffel, and P. E. Saylor, A Taxonomy for Conjugate Gradient Methods, SIAM Journal on Numerical Analysis, vol.27, issue.6, pp.27-1542, 1990.
DOI : 10.1137/0727091

D. P. Oleary, The block conjugate gradient algorithm and related methods, Linear Algebra and its Applications, vol.29, p.293322, 1980.
DOI : 10.1016/0024-3795(80)90247-5

M. Robbé and M. Sadkane, Exact and inexact breakdowns in the block GMRES method, Linear Algebra and its Applications, vol.419, issue.1, pp.265-285, 2006.
DOI : 10.1016/j.laa.2006.04.018

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, issue.6, pp.409-436, 1952.
DOI : 10.6028/jres.049.044

A. Bhaya, P. Bliman, G. Niedu, and F. A. Pazos, A cooperative conjugate gradient method for linear systems permitting multithread implementation of low complexity, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.638-643, 2012.
DOI : 10.1109/CDC.2012.6426341
URL : https://hal.archives-ouvertes.fr/hal-00761333

A. A. Nikishin and A. Y. Yeremin, Variable Block CG Algorithms for Solving Large Sparse Symmetric Positive Definite Linear Systems on Parallel Computers, I: General Iterative Scheme, SIAM Journal on Matrix Analysis and Applications, vol.16, issue.4, pp.1135-1153, 1995.
DOI : 10.1137/S0895479893247679

L. Grigori, S. Moufawad, and F. Nataf, Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication, SIAM Journal on Matrix Analysis and Applications, vol.37, issue.2, 2016.
DOI : 10.1137/140989492
URL : https://hal.archives-ouvertes.fr/hal-01357899

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

M. H. Gutknecht, Block Krylov space methods for linear systems with multiple right-hand sides: an introduction, Modern Mathematical Models, Methods and Algorithms for Real World Systems, pp.420-447, 2007.

B. Loweryand and J. Langou, Stability Analysis of QR factorization in an Oblique Inner Product, ArXive-prints, 2014.

A. A. Dubrulle, Retooling the method of block conjugate gradients, ETNA, Electronic Transactions on Numerical Analysis, pp.216-233, 2001.

C. Brezinski, Multiparameter descent methods, Linear Algebra and its Applications, vol.296, issue.1-3, p.113141, 1999.
DOI : 10.1016/S0024-3795(99)00112-3
URL : http://doi.org/10.1016/s0024-3795(99)00112-3

C. Brezinski and F. Bantegnies, The multiparameter conjugate gradient algorithm, pp.75-67, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00018469

J. Langou and T. /. Pa, Iterative methods for solving linear systems with multiple righthand sides, 2003.

A. Chapman and Y. Saad, Deflated and augmented Krylov subspace techniques, Numer, Linear Algebra Appl, vol.4, issue.1, p.4366, 1997.
DOI : 10.1002/(sici)1099-1506(199701/02)4:1<43::aid-nla99>3.3.co;2-q
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.6494

A. Gaul, M. H. Gutknecht, J. Liesen, and R. Nabben, A Framework for Deflated and Augmented Krylov Subspace Methods, SIAM Journal on Matrix Analysis and Applications, vol.34, issue.2, p.495518, 2013.
DOI : 10.1137/110820713

N. Spillane, An Adaptive Multi Preconditioned Conjugate Gradient Algorithm

R. Bridson and C. Greif, A Multipreconditioned Conjugate Gradient Algorithm, SIAM Journal on Matrix Analysis and Applications, vol.27, issue.4, p.10561068, 2006.
DOI : 10.1137/040620047
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.1617

V. Faber and T. A. , Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method, SIAM Journal on Numerical Analysis, vol.21, issue.2, pp.352-362, 1984.
DOI : 10.1137/0721026

Y. Achdou and F. Nataf, Low frequency tangential filtering decomposition, Numerical Linear Algebra with Applications, p.129147, 2007.
DOI : 10.1002/nla.512
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.1751

Q. Niu, L. Grigori, P. Kumar, and F. Nataf, Modified tangential frequency filtering decomposition and its fourier analysis, Numerische Mathematik, vol.76, issue.1, p.123148, 2010.
DOI : 10.1007/s00211-010-0298-3
URL : https://hal.archives-ouvertes.fr/inria-00324378

F. Nataf, F. Hecht, P. Jolivet, and C. Prudhomme, Scalable Domain Decomposition Preconditioners For Heterogeneous Elliptic Problems, SC13, p.11, 2013.

S. F. Ashby, M. J. Holst, T. A. Manteuffel, and P. E. Saylor, The role of the inner product in stopping criteria for conjugate gradient iteratiosn, pp.41-67, 2001.

M. Rozloznik, J. Kopal, M. Tuma, and A. Smoktunowicz, 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, pp.856-869, 1986.
DOI : 10.1137/0907058
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.476.951

Y. Saad, Iterative methods for sparse linear systems, Society for Industrial and Applied Mathematics (SIAM), 2003.
DOI : 10.1137/1.9780898718003

F. Hecht, New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, p.251265, 2012.
DOI : 10.1515/jnum-2012-0013

J. W. 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, 2008.
DOI : 10.1137/080731992
URL : https://hal.archives-ouvertes.fr/hal-00870930