| [1] |
P. R. Amestoy, I. S. Duff, and J.-Y. L'Excellent.
Multifrontal parallel distributed symmetric and unsymmetric solvers.
Comput. Methods in Appl. Mech. Engrg., 184:501-520, 2000. BibTeX entry |
| [2] |
B. Carpentieri, I. S. Duff, and L. Giraud.
Sparse pattern selection strategies for robust Frobenius-norm
minimization preconditioners in electromagnetism.
Numerical Linear Algebra with Applications, 7(7-8):667-685,
2000. BibTeX entry |
| [3] |
F. Chaitin-Chatelin, V. Toumazou, and E. Traviesas.
Accuracy assessment for eigencomputations : variety of backward
errors and pseudospectra.
Linear Algebra and its Applications, 309:73-83, 2000. BibTeX entry |
| [4] |
S. Dallakyan.
A note on the visualization of multiparametric bifurcations.
Computers & Graphics, 24(2):269-270, 2000. BibTeX entry |
| [5] |
V. Frayssé, S. Gratton, and V. Toumazou.
Structured backward error and condition number for linear systems of
the type A*A x = b.
BIT, 40(1):74-83, 2000. BibTeX entry |
| [6] |
P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and J. Koster.
A fully asynchronous multifrontal solver using distributed dynamic
scheduling.
SIAM J. Matrix Analysis and Applications, 23(1):15-41, 2001. BibTeX entry |
| [7] |
P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and X. S. Li.
Analysis and comparison of two general sparse solvers for distributed
memory computers.
ACM Trans. Math. Softw., 27(4):1-33, December 2001. BibTeX entry |
| [8] |
Z.-Z. Bai, I. S. Duff, and A. J. Wathen.
A class of incomplete orthogonal factorization methods. I:
Methods and theories.
BIT, 41(1):53-70, 2001. BibTeX entry |
| [9] |
L. M. Carvalho, L. Giraud, and G. Meurant.
Local preconditioners for two-level non-overlapping domain
decomposition methods.
Numerical Linear Algebra with Applications, 8(4):207-227,
2001. BibTeX entry |
| [10] |
L. M. Carvalho, L. Giraud, and P. Le Tallec.
Algebraic two-level preconditioners for the Schur complement
method.
SIAM J. Scientific Computing, 22(6):1987 - 2005, 2001. BibTeX entry |
| [11] |
I. S. Duff and J. Koster.
On algorithms for permuting large entries to the diagonal of a sparse
matrix.
SIAM J. Matrix Analysis and Applications, 22(4):973-996, 2001. BibTeX entry |
| [12] |
L. Giraud, R. Guivarch, and J. Stein.
Parallel distributed fast 3D Poisson solver for meso-scale
atmospheric simulations.
Int. J. of High Performance Computing Applications,
15(1):36-46, 2001. BibTeX entry |
| [13] |
N. I. M. Gould, D. Orban, A. Sartenaer, and Ph. L. Toint.
Superlinear convergence of primal-dual interior point algorithms for
nonlinear programming.
SIAM J. Optimization, 11(4):974-1002, 2001. BibTeX entry |
| [14] |
A. Meister and C. Vömel.
Efficient preconditioning of linear systems arising from the
discretization of hyperbolic conservation laws.
Advances in Computational Mathematics, 14:49-73, 2001. BibTeX entry |
| [15] |
L. S. Blackford, J. Demmel, J. Dongarra, I. S. Duff, S. Hammarling, G. Henry,
M. Heroux, L. Kaufman, A. Lumsdaine, A. Petitet, R. Pozo, K. Remington, and
R. C. Whaley.
An updated set of Basic Linear Algebra Subprograms (BLAS).
ACM Trans. Math. Softw., 28(2):135-151, June 2002. BibTeX entry |
| [16] |
I. S. Duff, M. A. Heroux, and R. Pozo.
An overview of the Sparse Basic Linear Algebra Subprograms: The
new standard from the BLAS Technical Forum.
ACM Trans. Math. Softw., 28(2):239-267, 2002. BibTeX entry |
| [17] |
I. S. Duff, M. A. Heroux, and R. Pozo.
An overview of the Sparse Basic Linear Algebra Subprograms:
the new standard from the BLAS Technical Forum.
ACM Trans. Math. Softw., 28(2):239-267, 2002. BibTeX entry |
| [18] |
I. S. Duff and C. Vömel.
Algorithm 818: A reference model implementation of the Sparse
BLAS in Fortran 95.
ACM Trans. Math. Softw., 28(2):268-283, 2002. BibTeX entry |
| [19] |
I. S. Duff and C. Vömel.
Algorithm 818: A Reference Model Implementation of the
Sparse BLAS in Fortran 95.
ACM Trans. Math. Softw., 28(2):268-283, 2002.
Implementation available from URL:
http://www.netlib.org/netlib/toms/818. BibTeX entry |
| [20] |
I. S. Duff and C. Vömel.
Incremental Norm Estimation for Dense and Sparse Matrices.
BIT, 42(2):300-322, 2002. BibTeX entry |
| [21] |
L. Giraud.
Combining shared and distributed memory programming models on
clusters of symmetric multiprocessors: Some basic promising experiments.
Int. J. of High Performance Computing Applications,
16(4):425-430, 2002. BibTeX entry |
| [22] |
L. Giraud and J. Langou.
When modified Gram-Schmidt generates a well-conditioned set of
vectors.
IMA J. Numerical Analysis, 22(4):521-528, 2002. BibTeX entry |
| [23] |
N. I. M. Gould, D. Orban, A. Sartenaer, and Ph. L. Toint.
Componentwise fast convergence in the solution of full-rank systems
of nonlinear equations.
Mathematical Programming, Series B, 92(3):481-508, 2002. BibTeX entry |
| [24] |
D. Kay, D. Loghin, and A. J. Wathen.
A preconditioner for the Steady-State Navier-Stokes
equations.
SIAM J. Scientific Computing, 24(1):237-256, 2002. BibTeX entry |
| [25] |
D. Loghin and A. J. Wathen.
Schur complement preconditioners for the Navier-Stokes
equations.
Int. J. Num. Meth. in Fluids, 40(3-4):403-412, 2002. BibTeX entry |
| [26] |
D. Orban and S. J. Wright.
Properties of the Log-Barrier Function on Degenerate
Nonlinear Programs.
Mathematics of Operations Research, 27(3):585-613, 2002. BibTeX entry |
| [27] |
J. Rahola and S. Tissari.
Iterative solution of dense linear systems arising from the
electrostatic integral equation in MEG.
Physics in Medicine and Biology, 47(6):961-975, 2002. BibTeX entry |
| [28] |
M. Rojas and D. C. Sorensen.
A trust-region approach to the regularization of large-scale discrete
ill-posed problems.
SIAM J. Scientific Computing, 26(3):1843-1861, 2002. BibTeX entry |
| [29] |
M. Rojas and T. Steihaug.
An interior-point trust-region-based method for large-scale
nonnegative regularization.
Inverse Problems, 18(5):1291-1307, 2002. BibTeX entry |
| [30] |
P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and X. S. Li.
Impact of the implementation of MPI point-to-point communications
on the performance of two general sparse solvers.
Parallel Computing, 29(7):833-847, 2003. BibTeX entry |
| [31] |
P. R. Amestoy, I. S. Duff, S. Pralet, and C. Vömel.
Adapting a parallel sparse direct solver to architectures with
clusters of smps.
Parallel Computing, 29(11-12):1645-1668, 2003. BibTeX entry |
| [32] |
B. Carpentieri, I. S. Duff, and L. Giraud.
A class of spectral two-level preconditioners.
SIAM J. Scientific Computing, 25(2):749-765, 2003. BibTeX entry |
| [33] |
L. Giraud and J. Langou.
Robust selective Gram-Schmidt reorthogonalization.
SIAM J. Scientific Computing, 25(2):417-441, 2003. BibTeX entry |
| [34] |
L. Giraud, F. Guevara Vasquez, and R. S. Tuminaro.
Grid transfer operators for highly variable coefficient problems in
two-level non-overlapping domain decomposition methods.
Numerical Linear Algebra with Applications, 10(5-6):467-484,
2003. BibTeX entry |
| [35] |
D. Loghin and A. J. Wathen.
Schur complement preconditioning for elliptic systems of partial
differential equations.
Numerical Linear Algebra with Applications, 10:423-443, 2003. BibTeX entry |
| [36] |
P. R. Amestoy, T. A. Davis, and I. S. Duff.
Algorithm 837: AMD, an approximate minimum degree ordering
algorithm.
ACM Trans. Math. Softw., 30(3):381-388, 2004. BibTeX entry |
| [37] |
E. Anterrieu, S. Gratton, and B. Picard.
Inverse problem in remote sensing by aperture synthesis imaging.
Traitement du Signal, 21(1):1-16, 2004. BibTeX entry |
| [38] |
B. Carpentieri, I. S. Duff, L. Giraud, and M. Magolu monga Made.
Sparse symmetric preconditioners for dense linear systems in
electromagnetism.
Numerical Linear Algebra with Applications, 11(8-9):753-771,
2004. BibTeX entry |
| [39] |
I. S. Duff.
MA57 - A code for the solution of sparse symmetric indefinite
systems.
ACM Trans. Math. Softw., 30(2):118-144, 2004. BibTeX entry |
| [40] |
I. S. Duff and J. A. Scott.
A parallel direct solver for large highly unsymmetric linear systems.
ACM Trans. Math. Softw., 30(2):95-117, 2004. BibTeX entry |
| [41] |
L. Giraud, S. Gratton, and J. Langou.
A rank-k update procedure for reorthogonalizing the orthogonal
factor from modified Gram-Schmidt.
SIAM J. Matrix Analysis and Applications, 25(4):1163-1177,
2004. BibTeX entry |
| [42] |
D. Loghin and A. J. Wathen.
Analysis of preconditioners for saddle-point problems.
SIAM J. Scientific Computing, 25(6):2029-2049, 2004. BibTeX entry |
| [43] |
P. R. Amestoy, I. S. Duff, and C. Vömel.
Task scheduling in an asynchronous distributed memory multifrontal
solver.
SIAM J. Matrix Analysis and Applications, 26:544-565, 2005. BibTeX entry |
| [44] |
M. Arioli, D. Loghin, and A. Wathen.
Stopping criteria for iterations in finite-element methods.
Numerische Mathematik, 99:381-410, 2005. BibTeX entry |
| [45] |
M. Baboulin, L. Giraud, and S. Gratton.
A parallel distributed solver for large dense symmetric systems:
applications to geodesy and electromagnetism problems.
Int. J. High Speed Computing, 19(04):353-363, 2005. BibTeX entry |
| [46] |
A. Bouras and V. Frayssé.
Inexact matrix-vector products in Krylov methods for solving linear
systems: a relaxation strategy.
SIAM J. Matrix Analysis and Applications, 26(23):660-678,
2005. BibTeX entry |
| [47] |
B. Carpentieri, I. S. Duff, L. Giraud, and G. Sylvand.
Combining fast multipole techniques and an approximate inverse
preconditioner for large electromagnetism calculations.
SIAM J. Scientific Computing, 27(3):774-792, 2005. BibTeX entry |
| [48] |
I. S. Duff, L. Giraud, J. Langou, and E. Martin.
Using spectral low rank preconditioners for large electromagnetic
calculations.
Int. J. Numerical Methods in Engineering, 62(3):416-434, 2005. BibTeX entry |
| [49] |
I. S. Duff and S. Pralet.
Strategies for scaling and pivoting for sparse symmetric indefinite
problems.
SIAM J. Matrix Analysis and Applications, 27(2):313-340, 2005. BibTeX entry |
| [50] |
I. S. Duff and J. A. Scott.
Stabilized bordered block diagonal forms for parallel sparse solvers.
Parallel Computing, 31:275-289, 2005. BibTeX entry |
| [51] |
V. Frayssé, L. Giraud, S. Gratton, and J. Langou.
Algorithm 842: A set of GMRES routines for real and complex
arithmetics on high performance computers.
ACM Trans. Math. Softw., 31(2):228-238, 2005. BibTeX entry |
| [52] |
L. Giraud, J. Langou, and M. Rozloznik.
On the loss of orthogonality in the Gram-Schmidt orthognalization
process.
Computer and Mathematics with Applications, 50:1069-1075,
2005. BibTeX entry |
| [53] |
L. Giraud, J. Langou, M. Rozloznik, and J. van den Eshof.
Rounding error analysis of the classical Gram-Schmidt
orthogonalization process.
Numerische Mathematik, 101(1):87-100, 2005. BibTeX entry |
| [54] |
L. Giraud, A. Marrocco, and J.-C. Rioual.
Iterative versus direct parallel substructuring methods in
semiconductor device modelling.
Numerical Linear Algebra with Applications, 12(1):33-53, 2005. BibTeX entry |
| [55] |
A. S. Lawless, S. Gratton, and N. K. Nichols.
Approximate iterative methods for variational data assimilation.
Int. J. Numer. Methods in Fluids, 47:1129-1135, 2005. BibTeX entry |
| [56] |
A. S. Lawless, S. Gratton., and N. K. Nichols.
An investigation of incremental 4D-Var using non-tangent linear
models.
Quart. J. Royal Met. Soc., 131:459-476, 2005. BibTeX entry |
| [57] |
A. T. Papadopoulos, I. S. Duff, and A. J. Wathen.
A class of incomplete orthogonal factorization methods. II:
implementation and results.
45(1):159-179, 2005. BibTeX entry |
| [58] |
J. van den Eshof, G. L. G. Sleijpen, and M. B. van Gijzen.
Relaxation strategies for nested Krylov methods.
J. Comput. Appl. Math., 117(2):347-365, 2005. BibTeX entry |
| [59] |
G. Alléon, S. Champagneux, G. Chevalier, L. Giraud, and G. Sylvand.
Parallel distributed numerical simulations in aeronautic
applications.
J. Applied Mathematical Modelling, 30:714-730, 2006. BibTeX entry |
| [60] |
F. Bastin, C. Cirillo, and Ph. L. Toint.
An adaptive Monte Carlo algorithm for computing mixed logit
estimators.
Computational Management Science, 3(1):55-79, 2006. BibTeX entry |
| [61] |
F. Bastin, C. Cirillo, and Ph. L. Toint.
Application of an adaptive Monte Carlo algorithm to mixed logit
estimation.
Transportation Research Part B, 40(7):577-593, 2006. BibTeX entry |
| [62] |
F. Bastin, C. Cirillo, and Ph. L. Toint.
Convergence theory for nonconvex stochastic programming with an
application to mixed logit.
Mathematical Programming, 108(2-3):207-234, 2006. BibTeX entry |
| [63] |
F. Chaitin-Chatelin and M. B. van Gijzen.
Analysis of parameterized quadratic eigenvalue problems in
computational acoustics with homotopic deviation theory.
Numerical Linear Algebra with Applications, 13:487-512, 2006. BibTeX entry |
| [64] |
L. Giraud and S. Gratton.
On the sensitivity of some spectral preconditioners.
SIAM Journal on Matrix Analysis and Applications,
27(4):1089-1105, 2006. BibTeX entry |
| [65] |
L. Giraud, J. Langou, and G. Sylvand.
On the parallel solution of large industrial wave propagation
problems.
J. Computational Acoustics, 14:83-111, 2006. BibTeX entry |
| [66] |
L. Giraud, D. Ruiz, and A. Touhami.
A comparative study of iterative solvers exploiting spectral
information for SPD systems.
SIAM Journal on Scientific Computing, 27(5):1760-1786, 2006. BibTeX entry, Available here |
| [67] |
S. Gratton, A. Sartenaer, and Ph.L. Toint.
Second-order convergence properties of trust-region methods using
incomplete curvature information, with an application to multigrid.
Journal of Computational Mathematics, 24(06):676-692, 2006.
see also TR/PA/06/34. BibTeX entry |
| [68] |
D. Loghin, D. Ruiz, and A. Touhami.
Adaptive preconditioners for nonlinear systems of equations.
J. Comput. Appl. Math., 189(1):362-374, 2006. BibTeX entry |
| [69] |
D. Loghin, M. van Gijzen, and E. Jonkers.
Bounds on the eigenvalue range and on the field of values of
non-hermitian and indefinite finite element matrices.
J. Comput. Appl. Math., 189(1):304-323, 2006. BibTeX entry |
| [70] |
A. Toselli and X. Vasseur.
A numerical study on Neumann-Neumann methods for hp
approximations on geometrically refined boundary layer meshes ii.
three-dimensional problems.
Mathematical Modelling and Numerical Analysis, 40:99-122,
2006. BibTeX entry |
| [71] |
M. Arioli, M. Baboulin, and S. Gratton.
A partial condition number for linear least-squares problems.
SIAM J. Matrix Anal. and Appl., 29(2):413-433, 2007. BibTeX entry |
| [72] |
M. Arioli, I. S. Duff, S. Gratton, and S. Pralet.
A note on GMRES preconditioned by a perturbed LDLT
decomposition with static pivoting.
SIAM Journal on Scientific Computing, 29(5):2024-2044, 2007. BibTeX entry |
| [73] |
C. Aykanat, B. B. Cambazoglu, and B. Ucar.
Multi-level direct k-way hypergraph partitioning with multiple
constraints and fixed vertices.
Journal of Parallel and Distributed Computing,
29(4):1683-1709, 2007. BibTeX entry |
| [74] |
M. Baboulin, L. Giraud, S. Gratton, and J. Langou.
A distributed packed storage for large dense parallel in-core
calculations.
Concurrency and Computation: Practice and Experience,
19(4):483-502, 2007. BibTeX entry |
| [75] |
B. Carpentieri, L. Giraud, and S. Gratton.
Additive and multiplicative two-level spectral preconditioning for
general linear systems.
SIAM Journal on Scientific Computing, 29(4):1593-1612, 2007. BibTeX entry, Available here |
| [76] |
I. S. Duff, S. Gratton, X. Pinel, and X. Vasseur.
Multigrid based preconditioners for the numerical solution of
two-dimensional heterogeneous problems in geophysics.
International Journal of Computer Mathematics,
84-88:1167-1181, 2007. BibTeX entry |
| [77] |
I. S. Duff and S. Pralet.
Towards stable mixed pivoting strategies for the sequential and
parallel solution of sparse symmetric indefinite systems.
SIAM J. Matrix Anal. and Appl., 29(3):1007-1024, 2007. BibTeX entry |
| [78] |
D. Ettema, F. Bastin, J. Polak, and O. Ashiru.
An error-components framework for joint choice models of activity
timing and duration.
Transportation Research Part A, 41(9):827-849, 2007. BibTeX entry |
| [79] |
L. Giraud, S. Gratton, and J. Langou.
Convergence in backward error of relaxed GMRES.
SIAM Journal on Scientific Computing, 29(2):710-728, 2007. BibTeX entry, Available here |
| [80] |
L. Giraud, S. Gratton, and E. Martin.
Incremental spectral preconditioners for sequences of linear systems.
Applied Numerical Mathematics, 57(11-12):1164-1180, 2007. BibTeX entry, Available here |
| [81] |
S. Gratton, A. S. Lawless, and N. K. Nichols.
Approximate Gauss-Newton methods for nonlinear least squares
problems.
SIAM Journal on Optimization, 18(1):106-132, 2007. BibTeX entry, Available here |
| [82] |
D. Mariano-Goulart, P. Maréchal, S. Gratton, and L. Giraud.
A priori selection of the regularization parameters in emission
tomography by Fourier synthesis.
Computerized Medical Imaging and Graphics, 31(7):502-509,
2007. BibTeX entry |
| [83] |
B. Uçar and C. Aykanat.
Partitioning sparse matrices for parallel preconditioned iterative
methods.
SIAM Journal on Scientific Computing, 29(4):1683-1709, 2007. BibTeX entry, Available here |
| [84] |
B. Uçar and C. Aykanat.
Revisiting hypergraph models for sparse matrix partitioning.
SIAM Review, 49(4):595-603, 2007. BibTeX entry, Available here |
| [85] |
L. Valdettaro, M. Rieutord, T. Braconnier, and V. Fraysse.
Convergence and round-off errors in a two-dimensional eigenvalue
problem using spectral methods and Arnoldi-Chebyshev algorithm.
Journal of Computational and Applied Mathematics,
205(1):382-393, 2007. BibTeX entry |
| [86] |
M. Arioli and I. S. Duff.
Using FGMRES to obtain backward stability in mixed precision.
Electronic Transactions on Numerical Analysis, 33, 2008.
Special issue commemorating 60th anniversary of Gérard
Meurant. BibTeX entry |
| [87] |
C. Aykanat, B. B. Cambazoglu, and B. Ucar.
Multi-level direct k-way hypergraph partitioning with multiple
constraints and fixed vertices.
Journal of Parallel and Distributed Computing, 68:609-625,
2008. BibTeX entry |
| [88] |
V. Frayssé, L. Giraud, and S. Gratton.
Algorithm 881: A set of flexible GMRES routines for real and
complex arithmetics on high-performance computers.
ACM Trans. Math. Softw., 35(2):1-12, 2008. BibTeX entry |
| [89] |
A. El Ghazi, S.E. Hajji, L. Giraud, and S. Gratton.
Newton's method for the common eigenvector problem.
Journal of Computational and Applied Mathematics,
219-2:398-407, 2008. BibTeX entry |
| [90] |
L. Giraud, A. Haidar, and L. T. Watson.
Parallel scalability study of hybrid preconditioners in three
dimensions.
Parallel Computing, 34:363-379, 2008. BibTeX entry |
| [91] |
S. Gratton, M. Mouffe, Ph.L. Toint, and M. Weber-Mendonca.
A recursive l∞ trust-region method for bound-constrained
nonlinear optimization.
IMA J Numer Anal, 28(4):827-861, 2008. BibTeX entry |
| [92] |
S. Gratton, A. Sartenaer, and P. L. Toint.
Recursive trust-region methods for multiscale nonlinear optimization.
SIAM Journal on Optimization, 19(1):414-444, 2008. BibTeX entry |
| [93] |
A. S. Lawless, N. K. Nichols, C. Boess, and A. Bunse-Gerstner.
Approximate Gauss-Newton methods for optimal state estimation
using reduced order models.
Int. J. Numer. Methods in Fluids, 56:1367-1373, 2008. BibTeX entry |
| [94] |
A. S. Lawless, N. K. Nichols, C. Boess, and A. Bunse-Gerstner.
Using model reduction methods within incremental four-dimensional
variational data assimilation.
Monthly Weather Review, 136(4):1511-1522, 2008. BibTeX entry |
| [95] |
J. Tshimanga, S. Gratton, A. T. Weaver, and A. Sartenaer.
Limited-memory preconditioners, with application to incremental
four-dimensional variational data assimilation.
Quarterly Journal of the Royal Meteorological Society,
134(632):751-769, 2008. BibTeX entry |
| [96] |
P. Avery and C. Farhat.
The FETI family of domain decomposition methods for
inequality-constrained quadratic programming: Application to contact problems
with conforming and nonconforming interfaces.
Computer Methods in Applied Mechanics and Engineering,
198(21-26):1673-1683, 2009.
Preliminary version available as CERFACS Technical Report
TR/PA/09/51. BibTeX entry |
| [97] |
P. Avery, C. Farhat, and U. Hetmaniuk.
A Padé-based factorization-free algorithm for identifying the
eigenvalues missed by a generalized symmetric eigensolver.
Int. J. Numer. Methods. Eng., 79(2):239-252, 2009.
Preliminary version available as CERFACS Technical Report
TR/PA/09/53. BibTeX entry |
| [98] |
M. Baboulin, J. Dongarra, S. Gratton, and J. Langou.
Computing the conditioning of the components of a linear least
squares solution.
Numerical Linear Algebra with Applications, 16(7):517-533,
2009.
Preliminary version available as CERFACS Technical Report
TR/PA/09/46. BibTeX entry |
| [99] |
M. Baboulin, L. Giraud, S. Gratton, and J. Langou.
Parallel tools for solving incremental dense least squares problems:
application to space geodesy.
Journal of Algorithms and Computational Technology,
3(1):117-133, 2009.
Preliminary version available as CERFACS Technical Report
TR/PA/06/63. BibTeX entry |
| [100] |
M. Baboulin and S. Gratton.
Using dual techniques to derive componentwise and mixed condition
numbers for a linear functional of a linear least squares solution.
BIT, 49(1):3-19, 2009.
Preliminary version available as CERFACS Technical Report
TR/PA/09/47. BibTeX entry |
| [101] |
Z.-Z. Bai, I. S. Duff, and J.-F. Yin.
Numerical study on incomplete orthogonal factorization
preconditioners.
J. Computational and Applied Mathematics, 226:22-41, 2009.
Preliminary version available as CERFACS Technical Report
TR/PA/08/24. BibTeX entry |
| [102] |
I. S. Duff.
The design and use of a sparse direct solver for skew symmetric
matrices.
J. Computational and Applied Mathematics, 226:50-54, 2009.
Preliminary version available as CERFACS Technical Report
TR/PA/07/04. BibTeX entry |
| [103] |
M. B. Fares, S. Gratton, and Ph. L. Toint.
Svd-tail: a new linear-sampling reconstruction method for inverse
scattering problems,.
Inverse Problems, 25(9):doi: 10.1088/0266-5611/25/9/095013,
2009.
Preliminary version available as CERFACS Technical Report
TR/PA/09/45. BibTeX entry |
| [104] |
L. Giraud and A. Haidar.
Parallel algebraic hybrid solvers for large 3D convection-diffusion
problems.
Numerical Algorithms, 51(2):151-177, 2009. BibTeX entry |
| [105] |
S. Gratton and J. Tshimanga.
An observation-space formulation of variational assimilation using a
restricted preconditioned conjugate gradient algorithm.
Quarterly Journal of the Royal Meteorological Society,
135(643):1573-1585, 2009. BibTeX entry |
| [106] |
A. Lannes and S. Gratton.
Gnss networks in algebraic graph theory.
Journal of Global Positioning Systems, 8(1):1-23, 2009. BibTeX entry |
| [107] |
A. Lannes and S. Gratton.
Qr implementation of gnss centralized approaches.
Journal of Global Positioning Systems, 7(2):133-147, 2009. BibTeX entry |
| [108] |
A. Trefethen, N. Higham, I. Duff, and P. V. Coveney.
Developing a high- performance computing/numerical analysis roadmap.
Int. J. of High Performance Computing Applications,
23(4):423-426, 2009. BibTeX entry |
| [109] |
P. Amestoy, I.S. Duff, A. Guermouche, and Tz. Slavova.
Analysis of the solution phase of a parallel multifrontal approach.
Parallel Computing, 36(1):3-15, 2010.
Preliminary version available as CERFACS Technical Report
TR/PA/08/82. BibTeX entry |
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F. Bastin, V. Malmedy, M. Mouffe, Ph. L. Toint, and D. Tomanos.
A retrospective trust-region method for unconstrained optimization.
Mathematical Programming, 123(2):395-418, 2010. BibTeX entry |
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C. Calude and F. Chatelin.
A dialogue about qualitative computing.
Bulletin of EATCS (European Association for Theoretical Computer
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TR/PA/10/37. BibTeX entry |
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F. Chatelin.
Numerical information processing under the global rule expressed by
the Euler-Riemann zeta function defined in the complex plane.
Chaos, Focus issue: intrinsic and designed computation:
information processing in dynamical systems, 20(037104-1), 2010.
Preliminary version available as CERFACS Technical Report
TR/PA/10/49. BibTeX entry |
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I. S. Duff and B. Uçar.
On the block triangular form of symmetric matrices.
SIAM Review, 52(3):455-470, 2010.
Preliminary version available as CERFACS Technical Report
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M. B. Fares, S. Gratton, and Ph. L. Toint.
Fast regularized linear sampling for inverse scattering problems,.
Numerical Linear Algebra and Applications, published online 22
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M. Fuchs and A. Neumaier.
A splitting technique for discrete search based on convex relaxation.
Journal of Uncertain Systems, Special Issue on Global
Optimization and Intelligent Algorithm, 4(1):14-21, 2010.
Preliminary version available as CERFACS Technical Report TR/PA/10/5. BibTeX entry |
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D. Ghosh, Ph. Avery, and Ch. Farhat.
A FETI-preconditioned conjugate gradient method for large-scale
stochastic finite element problems.
Int. J. Numerical Methods in Engineering, 80(6-7):914-931,
2010.
Preliminary version available as CERFACS Technical Report
TR/PA/09/52. BibTeX entry |
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L. Giraud, S. Gratton, X. Pinel, and X. Vasseur.
Flexible GMRES with deflated restarting.
SIAM Journal on Scientific Computing, 32(4):1858-1878, 2010.
Preliminary version available as CERFACS Technical Report
TR/PA/09/111. BibTeX entry |
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S. Gratton, M. Mouffe, A. Sartenaer, Ph .L. Toint, and D. Tomanos.
Numerical experience with a recursive trust-region method for
multilevel nonlinear optimization.
Optimization Methods and Software, 25(3):359-386, 2010.
Preliminary version available as CERFACS Technical Report
TR/PA/09/48. BibTeX entry |
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S. Gratton and Ph. L. Toint.
Approximate invariant subspaces and quasi-Newton optimization
methods.
Optimization Methods and Software, 25(4):507-529, 2010.
Preliminary version available as CERFACS Technical Report
TR/PA/09/165. BibTeX entry |
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X.-P. Guo and I. S. Duff.
Semilocal and global convergence of the Newton-HSS method for
systems of nonlinear equations.
Numerical Linear Algebra and Applications, published online 28
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P. Jiránek and M. Rozloznik.
Adaptive version of simpler gmres.
Numerical Algorithms, 53(1):93-112, 2010.
Preliminary version available as CERFACS Technical Report
TR/PA/08/101. BibTeX entry |
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P. Jiránek, Z. Strakos, and M. Vohralík.
A posteriori error estimates including algebraic error and stopping
criteria for iterative solvers.
SIAM J. Scientific Computing, 32(3):1567-1590, 2010. BibTeX entry |
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P. Jiránek and D. Titley-Peloquin.
Estimating the backward error in LSQR.
SIAM J. Matrix Analysis and Applications, 31(4):2055-2074,
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Preliminary version available as CERFACS Technical Report
TR/PA/09/77. BibTeX entry |
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M. Baboulin and S. Gratton.
A contribution to the conditioning of the total least-squares
problem.
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L.M. Carvalho, S. Gratton, R. Lago, and X. Vasseur.
A flexible generalized conjugate residual method with inner
orthogonalization and deflated restarting.
SIAM Journal on Matrix Analysis and Applications,
32(4):1212-1235, 2011.
Preliminary version available as CERFACS Technical Report
TR/PA/10/10. BibTeX entry |
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I. Duff and D. Mijuca.
On accurate and time efficient solution of primal-mixed finite
element equations in multiscale solid mechanics.
International Journal for Numerical Methods in Biomedical
Engineering, 27(95-112), 2011.
Preliminary version available as CERFACS Technical Report
TR/PA/09/67. BibTeX entry |
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M. B. Fares, S. Gratton, and Ph. L. Toint.
Fast regularized linear sampling for inverse scattering problems.
Numerical Linear Algebra and Applications, 18(1):95-112, 2011. BibTeX entry |
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S. Gratton, P. Laloyaux, A. Sartenaer, and J. Tshimanga.
A reduced and limited-memory preconditioned approach for the 4d-var
data-assimilation problem.
Quarterly Journal of the Royal Meteorological Society,
137(452-466), 2011.
Preliminary version available as CERFACS Technical Report
TR/PA/09/98. BibTeX entry |
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S. Gratton, M. Mouffe, and Ph.L. Toint.
Stopping rules and backward error analysis for bound-constrained
optimization.
Numerische Mathematik, 119(163-187), 2011.
Preliminary version available as CERFACS Technical Report
TR/PA/09/95. BibTeX entry |
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S. Gratton, A. Sartenaer, and J. Tshimanga.
On a class of limited memory preconditioners for large scale linear
systems with multiple right-hand sides.
SIAM Journal on Optimization, 21(3):912-935, 2011.
Preliminary version available as CERFACS Technical Report
TR/PA/09/99. BibTeX entry |
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S. Gratton, Ph. L. Toint, and J. Tshimanga Ilunga.
Inexact range-space Krylov solvers for linear systems arising from
inverse problems,.
SIAM Journal on Matrix Analysis and Applications,
32(3):969-986, 2011.
Preliminary version available as CERFACS Technical Report
TR/PA/10/141. BibTeX entry |
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S. Gratton, Ph.L. Toint, and A. Tröltzsch.
An active set trust-region method for derivative-free nonlinear
bound-constrained optimization.
Optimization Methods and Software, 26(4-5):875-896, 2011.
Preliminary version available as CERFACS Technical Report
TR/PA/10/70. BibTeX entry |
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X. Guo and I. S. Duff.
Semilocal and global convergence of the Newton-HSS method for
systems of nonlinear equations.
Numerical Linear Algebra and Applications, 29:299-315, 2011.
Preliminary version available as CERFACS Technical Report
TR/PA/10/14. BibTeX entry |
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G. Ramillien, R. Biancale, S. Gratton, X. Vasseur, and S. Bourgogne.
Grace-derived surface mass anomalies by energy integral approach.
Application to continental hydrology.
Journal of Geodesy, 85(6):313-328, 2011. BibTeX entry |