[1] The Parallel Algorithms Project.
Scientific Report for 2006.
Technical Report TR/PA/06/107,
Keywords: No keywords supplied.
BibTeX entry
[2] F. Bastin, C. Cirillo, and Ph. L. Toint.
Estimating mixed logit with non-parametric random variables.
Technical Report TR/PA/06/87,
Keywords: Nonlinear programming, constrained programming, stochastic programming, discrete choice modelling, non-parametric estimation.
BibTeX entry, Compressed PS, PDF
[3] L. Giraud, A. Haidar, and L. T. Watson.
Mixed-precision preconditioners in parallel domain decomposition solvers.
Technical Report TR/PA/06/84,
Keywords: Non-overlapping domain decomposition, additive Schwarz preconditioner, mixed arithmetic, parallel computing, hybrid solvers.
Also appeared as IRIT Technical report ENSEEIHT-IRIT RT/APO/06/08.
BibTeX entry, Compressed PS, PDF
[4] M. Baboulin, L. Giraud, and S. Gratton.
Solution of an inverse problem for the GOCE satellite mission.
Contract Report CR/PA/06/78,
Keywords: Packed format, linear least squares, gravity field, distributed computing, inverse problem.
BibTeX entry
[5] M. Baboulin, L. Giraud, S. Gratton, and J. Langou.
Parallel tools for solving incremental dense least squares problems. application to space geodesy.
Technical Report TR/PA/06/63,
Keywords: Scientific computing, dense linear algebra, parallel distributed algorithms, ScaLAPACK, QR factorization, gravity field computation.
Also available as LAPACK Working Note 179.
BibTeX entry, Compressed PS, PDF
[6] P. A. Knight.
The Sinkhorn-Knopp algorithm: Convergence and applications.
Technical Report TR/PA/06/42,
Keywords: Matrix balancing, Sinkhorn-Knopp algorithm, PageRank, doubly stochastic matrix.
BibTeX entry, Compressed PS, PDF
[7] 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.
Technical Report TR/PA/06/34,
Keywords: nonlinear optimization, convergence to local minimizers, multilevel problems.
BibTeX entry, Compressed PS, PDF
[8] S. Gratton, A. Sartenaer, and Ph. L. Toint.
Numerical experience with a recursive trust-region method for multilevel nonlinear optimization.
Technical Report TR/PA/06/33,
Keywords: nonlinear optimization, multilevel problems, simplified models, recursive algorithms, numerical performance.
BibTeX entry, Compressed PS, PDF
[9] S. Gratton, A. Sartenaer, and Ph. L. Toint.
Recursive trust-region methods for multiscale nonlinear optimization.
Technical Report TR/PA/06/32,
Keywords: nonlinear optimization, multiscale problems, simplified models, recursive algorithms, convergence theory.
BibTeX entry, Compressed PS, PDF
[10] A. EL Ghazi, S. EL Hajji, L. Giraud, and S. Gratton.
A short note on backward errors for the common eigenvector problem.
Technical Report TR/PA/06/13,
Keywords: common eigenvector, eigenvalue, backward error, common invariant subspaces, simultaneous triangularization.
BibTeX entry, Compressed PS, PDF
[11] O. Boiteau, F. Huelsemann, and X. Vasseur.
Comparison of the linear algebraic solvers Mumps and the multifrontal solver of Code ASTER.
Contract Report CR/PA/06/11,
Keywords: Sparse linear solver, MUMPS, out-of-core, stability, ASTER, benchmark.
BibTeX entry
[12] A. S. Lawless, S. Gratton, and N. K. Nichols.
An investigation of incremental 4D-Var using non-tangent linear models.
Technical Report TR/PA/06/10,
Keywords: Incremental 4D-Var, Truncated Gauss-Newton, Convergence, Data Assimilation.
BibTeX entry, Compressed PS, PDF
[13] V. Frayssé, L. Giraud, and S. Gratton.
A set of flexible GMRES routines for real and complex arithmetics on high performance computers.
Technical Report TR/PA/06/09,
Keywords: Flexible GMRES, variable preconditioning, portable code, high performance computers, othogonalization schemes, stopping criteria.
This report supersedes TR/PA/98/07.
BibTeX entry, Compressed PS, PDF
[14] L. Giraud, S. Gratton, and J. Langou.
Convergence in backward error of relaxed GMRES.
Technical Report TR/PA/06/08,
Keywords: GMRES, Flexible GMRES, relaxation, backward error, stopping criteria, inexact preconditioning.
This report supersedes TR/PA/04/132.
BibTeX entry, Compressed PS, PDF
[15] F. Chaitin-Chatelin.
Calcul algébrique non linéaire dans les algèbres de Dickson.
Technical Report TR/PA/06/07,
Keywords: Clifford algebra, Dickson algebra, octonions, alternativity, flexibility, anisometry, zero divisors.
BibTeX entry, Compressed PS, PDF
[16] D. Ettema, F. Bastin, J. Polak, and O. Ashiru.
An error-components framework for joint choice models of activity timing and duration.
Technical Report TR/PA/06/02,
Keywords: Trust-region methods, discrete choice analysis, error components.
BibTeX entry, Compressed PS, PDF

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