| [1] |
S. J. Wright and D. Orban.
Properties of the log-barrier function on degenerate nonlinear programs. Technical Report TR/PA/99/36, Keywords: Barrier function, nonlinear programming, Mangasarian- Fromovitz condition, degenerate problems. Preliminary version of the article published in Mathematics of Operations Research, vol. 27, nber 3, pp 585-613, 2002. BibTeX entry, Compressed PS, PDF |
| [2] |
V. Toumazou and E. Traviesas.
A note on homotopic backward error and pseudospectra for the generalized eigenproblem. Technical Report TR/PA/99/14, Keywords: Generalized eigenproblem, normwise and homotopic perturbations, backward error and pseudospectra. BibTeX entry, Compressed PS |
| [3] |
S. Gratton, V. Frayssé, and V. Toumazou.
Structured backward error and condition number for linear systems of the type A*A x = b. Technical Report TR/PA/99/05, Keywords: structured perturbations, condition number, backward error, linear systems. Preliminary version of the article published in BIT, vol. 40, nber 1, pp 74-83. BibTeX entry, Compressed PS |
| [4] |
I. S. Duff and H. A. van der Vorst.
Developments and trends in the parallel solution in linear systems. Technical Report TR/PA/99/10, Keywords: linear systems, dense matrices, sparse matrices, tridiagonal systems, parallelism, direct methods, iterative methods, Krylov methods, preconditionning. BibTeX entry, Compressed PS |
| [5] |
I. S. Duff.
A brief bibliography of recent research and software for the parallel solution of large sparse linear equations. Technical Report TR/PA/99/12, Keywords: Sparse linear systems, sparse least squares, sparse normal equations, mixed model equations, BLUP, cattle breeding, iterative methods, direct methods, preconditioning, block iterative methods. Preliminary version of proceedings of the Computational Cattle Breeding '99 Workshop. BibTeX entry, Compressed PS |
| [6] |
F. Chaitin-Chatelin, V. Toumazou, and E. Traviesas.
Accuracy assessment for eigencomputations : variety of backward errors and pseudospectra. Technical Report TR/PA/99/03, Keywords: Stability analysis, eigencomputations, backward error, normwise perturbation, homotopic perturbation, pseudospectrum. Preliminary version of the article published in Linear Algebra with its Applications, vol 309, p. 73-83. BibTeX entry, Compressed PS |
| [7] |
F. Chaitin-Chatelin, A. Harrabi, and A. Ilahi.
About Hölder condition numbers and the stratification diagram for defective eigenvalues. Technical Report TR/PA/99/19, Keywords: multiple defective eigenvalue, index, Hölder condition number, Frechet and Gateaux derivatives, exact arithmetic, finite precision arithmetic, stratification associated with the commutator AX-XA. Preliminary version of the proceedings Mathematics and Computers in Simulation, vol. 54, pp 397-402. BibTeX entry, Compressed PS |
| [8] |
F. Chaitin-Chatelin, S. Dallakyan, and V. Frayssé.
An overview of Carrier Phase Differential GPS. Contract Report IR/PA/99/50, Keywords: GPS, integer ambiguities. BibTeX entry |
| [9] |
F. Chaitin-Chatelin.
The computing power of Geometry. Technical Report TR/PA/99/24, Keywords: Real numbers, complex numbers, quaternions, octonions, Nature's computation, powers of hypercomplex numbers. Preliminary version of the article published in D.F. Griffiths et al. (eds), Proceedings of Numerical Analysis 1999, pp 83-92, CRC Press LLC, 1999. BibTeX entry, Compressed PS |
| [10] |
F. Chaitin-Chatelin.
Le Sens de la Vie. Technical Report TR/PA/99/20, Keywords: Calcul, fiabilite du calcul, mecanisme du calcul, information, complexite, harmonie, temps, espace, symbole, sens, synthese, calcul qualitatif, exact, asymptotique, a precision finie, evolution lineaire, evolution cyclique, horloges biologiques. BibTeX entry, Compressed PS, PDF |
| [11] |
A. R. Conn, N. I. M. Gould, D. Orban, and Ph. L. Toint.
A Primal-Dual Trust-Region Algorithm for Non-Convex Nonlinear Programming. Technical Report TR/PA/99/27, Keywords: Nonlinear constrained programming,interior point methods, primal-dual methods, trust regions, logarithmic barrier. Published in Mathematical Programming Davidon Festschrift Online First, DOI 10.1007/s101070000144, March 15, 2000. BibTeX entry, Compressed PS |
| [12] |
L. M. Carvalho, L. Giraud, and G. Meurant.
Local preconditioners for two-level non-overlapping domain decomposition methods. Tech. Rep. TR/PA/99/38, Keywords: Domain decomposition, two-level preconditioning, Schur complement, parallel distributed computing, elliptic partial differential equations, parabolic partial differential equations. Preliminary version of the article published in Numerical Linear Algebra with Applications, vol. 8, nber 4, pp 207-227, 2001. BibTeX entry, Compressed PS |
| [13] |
L. M. Carvalho and L. Giraud.
Parallel subdomain-based preconditioner for the Schur complement. Technical Report TR/PA/99/04, Keywords: No keywords supplied, Preliminary version of the proceedings EUROPAR'99 Parallel Processing, 1999. BibTeX entry, Compressed PS |
| [14] |
A. Bouras, F. Chaitin-Chatelin, V. Frayssé, and A. Ilahi.
Nouvelles analyses de la méthode de la puissance. partie 1 : Etude asymptotique générale. Technical Report TR/PA/99/35, Keywords: Eigenvalue, eigenvector, power method convergence, multiple eigenvalue. BibTeX entry, Compressed PS |
| [15] |
P. R. Amestoy, I. S. Duff, J.-Y. L'Excellent, and J. Koster.
A fully asynchronous multifrontal solver using distributed dynamic scheduling. Technical Report TR/PA/99/28, Keywords: MPI, distributed memory architecture, sparse matrices, multifrontal direct methods. Preliminary version of the article published in SIMAX, vol. 23, nber 1, pp 15-41, 2001. BibTeX entry, Compressed PS |
| [16] |
F. Chaitin-Chatelin, S. Dallakyan, and V. Frayssé.
On the GPS Carrier Phase Ambiguity Resolution. The LAMBDA method: an analysis of speed, efficiency and numerical robustness. Contract Report IR/PA/99/23, Keywords: No keywords supplied. BibTeX entry |
| [17] |
The Parallel Algorithms Project.
Scientific Report for 1998. Technical Report TR/PA/99/16, Keywords: No keywords supplied. BibTeX entry, Compressed PS |