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[1]
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L. Giraud, S. Gratton, X. Pinel, and X. Vasseur.
Flexible GMRES with deflated restarting.
Technical Report TR/PA/08/128,
Keywords: Krylov subspace
methods, flexible preconditioning, deflation, implicit restarting.
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[2]
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P. Jiranek and M. Rozloznik.
Adaptive version of simpler gmres.
Technical Report TR/PA/08/101,
Keywords: Large-scale
nonsymmetric linear systems, Krylov subspace methods, minimum residual
methods, numerical stability, rounding errors.
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[3]
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F. Chaitin-Chatelin and M. Ahmadnasab.
Some contributions of homotopic deviation to the theory of
matrix pencils.
Technical Report TR/PA/08/90,
Keywords: Homotopic
Deviation, observation point, frontier point, communication matrix, induction
matrix, matrix pencil, Weierstrass, Cauchy.
BibTeX entry,
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[4]
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P. R. Amestoy, I. S. Duff, A. Guermouche, and Tz. Slavova.
Analysis of the solution phase of a parallel multifrontal
approach.
Technical Report TR/PA/08/82,
Keywords: Direct methods,
multifrontal solver, MUMPS, sparse matrices, out-of-core algorithms.
BibTeX entry,
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[5]
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M. Ahmadnasab.
A study of round-off propagation in massively parallel codes
for Large Eddy Simulation (LES).
Contract Report CR/PA/08/75,
Keywords: Large-Eddy
Simulation, parallel simulation, rounding errors, spatial discretization,
explicit Runge-Kutta method, fixed points, periodic solutions, bifurcations,
SSP time-stepping approaches, nondeterministic message arrival, XBLAS.
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[6]
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P. R. Amestoy, I. S. Duff, D. Ruiz, and B. Ucar.
A parallel matrix scaling algorithm.
Technical Report TR/PA/08/52,
Keywords: Sparse matrices,
matrix scaling, equilibration, parallel computing.
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[7]
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I. S. Duff and B. Ucar.
On the block triangular form of symmetric matrices.
Technical Report TR/PA/08/26,
Keywords: Sparse matrices,
block triangular form, Dulmage-Mendelsohn decomposition, maximum cardinality
matching.
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[8]
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I. S. Duff and D. Mijuca.
On the efficient solution of mixed finite element equations in
geometrically multiscale thermal stress analysis.
Technical Report TR/PA/08/25,
Keywords: Solid mechanics,
multiscale, time efficient, thermo-mechanical coupling, mixed finite element,
multifield, sparse, indefinite, scaling, HSL, multifrontal method.
Also appeared as Technical Report RAL-TR-2008-009 from Rutherford
Appleton Laboratory, Oxfordshire.
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[9]
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Z. Z. Bai, I. S. Duff, and J. F. Yin.
Numerical study on incomplete orthogonal factorization
preconditioners.
Technical Report TR/PA/08/24,
Keywords: Preconditioning,
IQR, ILU, Givens rotation, incomplete orthogonal factorization, nonsymetric
matrix, least-squares, normal equations.
Also appeared as Technical Report RAL-TR-2008-010 from Rutherford
Appleton Laboratory, Oxfordshire.
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[10]
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M. Ahmadnasab.
An order reduction method for computing the finite eigenvalues
of regular matrix pencils.
Technical Report TR/PA/08/23,
Keywords: Homotopic
deviation, regular matrix pencils, generalized eigenvalue problem, singular
value decomposition.
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[11]
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F. Chaitin-Chatelin.
The dynamics of spectral analysis by homotopic deviation. part
II: The evolution field.
Technical Report TR/PA/08/03,
Keywords: Complex
coupling, Homotopic Deviation, complex intensity, observation point,
communication matrix, homotopic polynomial, frontier set, frontier
multiplicity, homotopic multiplicity, normwise observability, spectral
observability.
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