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[1]
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The Parallel Algorithms Project.
Scientific Report for 2004.
Technical Report TR/PA/04/141,
Keywords: No keywords
supplied.
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[2]
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P. Amestoy, A. Guermouche, J. Y. L'Excellent, and S. Pralet.
Hybrid scheduling for the parallel solution of linear
systems.
Technical Report TR/PA/04/140,
Keywords: sparse
matrices, parallel multifrontal method, dynamic scheduling, memory.
Also available as INRIA report RR-5404 and as ENSEEIHT-IRIT
technical report RT/APO/04/03.
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[3]
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P. Amestoy, X. S. Li, and S. Pralet.
Unsymmetric ordering using a constrained Markowitz scheme.
Technical Report TR/PA/04/137,
Keywords: sparse
unsymmetric matrices, greedy heuristics, ordering methods, bipartite quotient
graph.
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[4]
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J. van den Eshof, G. L. G. Sleijpen, and M. B. van Gijzen.
Iterative linear system solvers with approximate matrix-vector
products.
Technical Report TR/PA/04/133,
Keywords: Inexact Krylov
methods, approximate matrix-vector products.
To appear in the proceedings of the Third International Workshop on
Numerical Analysis and Lattice QC.
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[5]
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L. Giraud, S. Gratton, and J. Langou.
Convergence in backward error of relaxed GMRES.
Technical Report TR/PA/04/132,
Keywords: GMRES, inexact
matrix-vector product, backward error analysis, relaxation strategies.
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[6]
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F. Chaitin-Chatelin.
On Lidskii's algorithm to quantify the first order terms in
the asymptotics of a defective eigenvalue. Part I.
Technical Report TR/PA/04/129,
Keywords: Jordan form,
defective eigenvalue, Puiseux order, Schur complement matrix, Schur
coefficient, Lidskii's generic condition, homotopic deviation.
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[7]
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I. S. Duff.
Combining direct and iterative methods for the solution of
large systems in different application areas.
Technical Report TR/PA/04/128,
Keywords: sparse direct
methods, iterative methods, domain decomposition, constrained optimization,
nonlinear water waves, electromagnetics.
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[8]
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I. S. Duff, S. Riyavong, and M. B. van Gijzen.
Parallel preconditioners based on partitioning sparse
matrices.
Technical Report TR/PA/04/114,
Keywords: Hypergraph
model, matrix partitioning, block diagonal preconditioning, parallel
matrix-vector product, parallel iterative method.
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[9]
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M. Arioli, M. Baboulin, and S. Gratton.
Partial condition number for linear least squares problems.
Technical Report TR/PA/04/111,
Keywords: Linear least
squares, normwise condition number, statistical condition estimate, parameter
estimation.
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[10]
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L. Giraud and S. Gratton.
On the sensitivity of some spectral preconditioners.
Technical Report TR/PA/04/108,
Keywords: spectral
preconditioners, coarse-grid preconditioner, deflating preconditioner,
sensitivity analysis.
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[11]
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F. Chaitin-Chatelin.
Beyond ideals in the Dickson ring of integral octonions.
Technical Report TR/PA/04/96,
Keywords: theorem of
1, 2, 4, 8 squares, special associativity, alternativity, integral
quaternions, integral octonions, ring, ideal, odd number.
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[12]
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D. Loghin, M. B. van Gijzen, and E. Jonkers.
Bounds on the eigenvalue range and on the field of values of
non-hermitian and indefinite finite element matrices.
Technical Report TR/PA/04/86,
Keywords: eigenvalue
bounds, field of values, numerical radius, non-hermitian finite element
matrices, iterative methods.
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[13]
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L. Giraud, J. Langou, M. Rozlozník, and J. van den Eshof.
Rounding error analysis of the classical Gram-Schmidt
orthogonalization process.
Technical Report TR/PA/04/77,
Keywords: Rounding error
analysis of the classical Gram-Schmidt orthogonalization process,
iterative classical Gram-Schmidt.
Preliminary version of the article published in Numerische
Mathematik, vol. 101, nber 1, pp. 87-100, 2005.
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[14]
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G. L. G. Sleijpen, J. van den Eshof, and M. B. van Gijzen.
Restarted GMRES with inexact matrix-vector products.
Technical Report TR/PA/04/75,
Keywords: restarted GMRES,
inner-outer iterations, inexact matrix-vector products.
Preliminary version of the article published in Z. Li et al. (eds),
Proceedings of NAA2004, Rousse Bulgaria, LNCS 3401, pp. 494-501.
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[15]
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F. S. V. Bazan.
Matrix polynomials with partially prescribed eigenstructure.
Technical Report TR/PA/04/64,
Keywords: Matrix
polynomials, block companion matrices, eigenvalue sensitivity,
controllability Gramian.
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[16]
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I. S. Duff and S. Pralet.
Strategies for scaling and pivoting for sparse symmetric
indefinite problems.
Technical Report TR/PA/04/59,
Keywords: indefinite
matrice, weighted matching, scaling, multifrontal solver.
Preliminary version of the article published in SIAM J.
Matrix Analysis and Applications, vol. 27, nber 27, pp. 313-340.
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[17]
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L. Giraud, J. Langou, and G. Sylvand.
On the parallel solution of large industrial wave propagation
problems.
Technical Report TR/PA/04/52,
Keywords: Large
electromagnetic and acoustic simulations, high performance computing,
distributed memory environment, fast multipole methods, flexible Krylov
solvers, relaxed inner-outer schemes, approximate inverse preconditioner.
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[18]
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D. Loghin.
Boundary preconditioning for mixed finite-element
discretizations of fourth-order elliptic problems.
Technical Report TR/PA/04/43,
Keywords:
H{-1/2}-preconditioning, Schur complements, biharmonic and fourth-order
elliptic problems, field of values.
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[19]
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D. Loghin, D. Ruiz, and A. Touhami.
Adaptive preconditioners for nonlinear systems of
equations.
Technical Report TR/PA/04/42,
Keywords: adaptive
preconditioners, nonlinear systems, Newton's method, domain decomposition
techniques, augmented systems, Navier-Stokes, iterative methods.
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[20]
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L. Giraud, S. Gratton, and J. Langou.
A note on relaxed and flexible GMRES.
Technical Report TR/PA/04/41,
Keywords: GMRES, robust
relaxation strategies, backward error stability.
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[21]
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L. Giraud, D. Ruiz, and A. Touhami.
A comparative study of iterative solvers exploiting spectral
information for SPD systems.
Technical Report TR/PA/04/40,
Keywords: Chebyshev
polynomials, block Lanczos method, conjugate gradient method, filtering,
deflation, spectral preconditioning, two-grid schemes, iterative methods.
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[22]
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B. Carpentieri, L. Giraud, and S. Gratton.
Additive and multiplicative two-level spectral preconditioning
for general linear systems.
Technical Report TR/PA/04/38,
Keywords: spectral
preconditioner, additive and multiplicative two-grid cycles, Krylov solvers.
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[23]
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F. Chaitin-Chatelin.
The dynamics of matrix coupling with an application to
Krylov methods.
Technical Report TR/PA/04/29,
Keywords:
Sherman-Morrison formula, Jordan structure, frontier point, critical
point, Ritz value, eigenprojection, analyticity, singularity, backward
analysis, Krylov method.
Preliminary version of the article published in Z. Li et al. (eds),
Proceedings of NAA 2004, pp. 14-24, Springer Verlag LNCS, vol. 3401,
2005.
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[24]
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I . S. Duff and S. Pralet.
Experiments in preprocessing and scaling symmetric problems
for multifrontal solutions.
Working Notes WN/PA/04/17,
Keywords: bipartite weighted
matching, scaling, multifrontal direct solver, symmetric indefinite matrices,
augmented systems.
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[25]
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M. Baboulin, L. Giraud, and S. Gratton.
A parallel distributed solver for large dense symmetric
systems: applications to geodesy and electromagnetism problems.
Technical Report TR/PA/04/16,
Keywords: scientific
computing, parallel distributed algorithms, symmetric dense linear systems,
Cholesky, ScaLAPACK.
Preliminary version of an article published in Int. J. High Speed
Computing, vol. 19, nber 4, pp 353-363, 2005.
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[26]
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F. Chaitin-Chatelin and M. B. van Gijzen.
Homotopic deviation with an application to computational
acoustics.
Technical Report TR/PA/04/05,
Keywords: Acoustic wave
equation, pressure release, impeding boundary, impedance, Homotopic
Deviation, critical point, kernel point, quadratic eigenproblem.
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