| [1] |
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. BibTeX entry, Compressed PS, PDF |
| [2] |
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. BibTeX entry, Compressed PS, PDF |
| [3] |
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, Compressed PS, PDF |
| [4] |
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, Compressed PS, PDF |
| [5] |
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. BibTeX entry |
| [6] |
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. BibTeX entry, Compressed PS, PDF |
| [7] |
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. BibTeX entry, Compressed PS, PDF |
| [8] |
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. BibTeX entry, Compressed PS, PDF |
| [9] |
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. BibTeX entry, Compressed PS, PDF |
| [10] |
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. BibTeX entry, Compressed PS, PDF |
| [11] |
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. BibTeX entry, Compressed PS, PDF |