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[1]
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The Parallel Algorithms Project.
Scientific Report for 2002.
Technical Report TR/PA/02/124, Keywords: No keywords
supplied.
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[2]
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L. Giraud and M. B. van Gijzen.
Large scale acoustic simulations on clusters of SMPs.
Technical Report TR/PA/02/116, Keywords:
parallelisation, clusters of SMPs, MPI, OpenMP, acoustics, finite
element method.
Preliminary version of the article published in the proceedings
book: Integral Methods in Science and Engineering, of the IMSE2002
conference, pp 61-66.
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[3]
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L. Giraud, A. Marrocco, and J.-C. Rioual.
Iterative versus direct parallel substructuring methods in
semiconductor device modeling.
Technical Report TR/PA/02/114, Keywords: domain
decomposition techniques, preconditioned Krylov methods, sparse direct
solvers, parallel distributed computing.
Preliminary version of the paper published in Numerical Linear
Algebra with Applications, vol. 12, nber 1, pp 33-53, 2005.
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[4]
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F. Chaitin-Chatelin.
About Singularities in Inexact Computing.
Technical Report TR/PA/02/106, Keywords: homotopy,
deviation, perturbation, singularity, orbit, ray, spectral radius, resolvent,
Neumann series, Inexact Computing, backward error, critical point, kernel
point, quadratic eigenproblem, rank deficiency, Jordan structure.
Erratum : p.2, line 14, read 'associated with eigenvalues non equal
to lambda'.
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[5]
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Patrick. R. Amestoy, I. S. Duff, and C. Vömel.
Task scheduling in an asynchronous distributed memory
multifrontal solver.
Technical Report TR/PA/02/105, Keywords: Sparse linear
systems, high performance computing, MUMPS, multifrontal Gaussian
elimination, distributed memory code, task scheduling.
Submitted to SIAM Journal of Matrix Analysis and
Applications.
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[6]
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R. Durdos.
Krylov solvers for large symmetric dense complex linear
systems in electromagnetism: some numerical experiments.
Working Notes WN/PA/02/97, Keywords: SQMR, FSQMR,
inner-outer iterations.
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[7]
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F. Chaitin-Chatelin and A. N. Zaoui.
Hypercomputation on {0,1}.
Technical Report TR/PA/02/73, Keywords: algebra,
zero-divisor, hypercomplex multiplication, binary quaternions and octonions,
geometric order, complex logic of dimension 2, 4, and 8.
Erratum : throughout Section 6.2 and in Figure 6.1, read
' S(e,e)=O '.
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[8]
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F. Chaitin-Chatelin and E. Traviesas.
Qualitative Computing.
Technical Report TR/PA/02/58, Keywords: Critical points,
eigenvalues, finite precision, Neumann series, pseudospectrum, homotopic
perturbations.
Preliminary version of the Chapter 5 published in the book:
Accuracy and Reliability in Scientific Computing (B. Einarsson
ed.), pp. 77-92, SIAM 2005.
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[9]
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F. Chaitin-Chatelin and E. Traviesas.
PRECISE and the reliability of Numerical Software.
Technical Report TR/PA/02/57, Keywords: eigenvalues,
backward error, indicators, randomness, finite precision.
Preliminary version of the Chapter 6 published in the book:
Accuracy and Reliability in Scientific Computing (B. Einarsson
ed.), pp. 95-108, SIAM 2005.
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[10]
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F. Chaitin-Chatelin, T. Meskauskas, and M. van Gijzen.
Itérations emboîtées pour la méthode
de la puissance avec accélération de Tchebycheff en
neutronique.
Contract Report CR/PA/02/56, Keywords: No keywords supplied.
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[11]
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B. Carpentieri, I. S. Duff, and L. Giraud.
A class of spectral two-level preconditioners.
Technical Report TR/PA/02/55, Keywords: No keywords
supplied, Also Technical Report RAL-TR-2002-020. Preliminary version
of the article published in SIAM Journal on Scientific Computing, vol. 25,
nber 2, pp. 749-765, 2003.
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[12]
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L. Giraud and J. Langou.
Another proof for modified Gram-Schmidt with
reorthogonalization.
Working Notes WN/PA/02/53, Keywords: Gram-Schmidt
algorithm, reorthogonalization schemes.
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[13]
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L. Giraud and J. Langou.
Robust selective Gram-Schmidt reorthogonalization.
Technical Report TR/PA/02/52, Keywords: Gram-Schmidt
algorithm, reorthogonalization schemes.
Preliminary version of the article published in SIAM Journal on
Scientific Computing, vol. 25, nber 2, pp. 417-441, 2003.
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[14]
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C. Bousquet and C. Daniel.
Complex version and validation of MUMPS, Multifrontal
Massively Parallel Solver.
Working Notes WN/PA/02/34, Keywords: No keywords supplied,
Mémoire de Maîtrise Ingénierie Mathématique,
UPS III.
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[15]
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L. Giraud, J. Langou, and M. Rozlozník.
On the round-off error analysis of the Gram-Schmidt
algorithm with reorthogonalization.
Technical Report TR/PA/02/33, Keywords: Gram-Schmidt
orthogonalization, reorthogonalization schemes.
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[16]
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F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui.
Hypercomplex division in the presence of zero divisors on
R and Z2.
Technical Report TR/PA/02/29, Keywords: algebra, zero
divisor, hypercomplex division, binary, special relativity, quaternions,
quantum interference, geometric order, complex logic of dimension 2 and 4.
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[17]
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G. Richard.
Coupling MUMPS and ordering software.
Working Notes WN/PA/02/24, Keywords: sparse direct
factorization, distributed computing, ordering techniques, multifrontal.
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[18]
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N. I. M. Gould, D. Orban, and Ph. L. Toint.
General SifDec documentation.
Technical Report TR/PA/02/14, Keywords: Nonlinear
constrained optimization, testing environment, shared filesystems,
heterogeneous environment, SIF format.
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[19]
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N. I. M. Gould, D. Orban, and Ph. L. Toint.
General CUTEr documentation.
Technical Report TR/PA/02/13, Keywords: Nonlinear
constrained optimization, testing environment, shared filesystems,
heterogeneous environment, SIF format.
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