| [1] |
S. Gratton and Ph. L. Toint.
Approximate invariant subspaces and quasi-newton optimization methods. Technical Report TR/PA/09/165, Keywords: Large-scale optimization, quasi-Newton methods, limited memory algorithms, discretized problems, multilevel optimization. BibTeX entry, PDF |
| [2] |
L. Giraud, S. Gratton, X. Pinel, and X. Vasseur.
Flexible GMRES with deflated restarting. Technical Report TR/PA/09/111, Keywords: Krylov subspace methods, flexible preconditioning, deflation, implicit restarting. Revised and extended version of TR/PA/08/128. BibTeX entry, Compressed PS, PDF |
| [3] |
M. Fuchs.
Simulation based uncertainty handling with polyhedral clouds. Technical Report TR/PA/09/100, Keywords: Clouds, robust optimization, high-dimensional uncertainty handling, Cauchy deviates method, incomplete information. BibTeX entry, Compressed PS, PDF |
| [4] |
S. Gratton, A. Sartenaer, and J. Tshimanga.
On a class of limited memory preconditioners for large scale linear systems with multiple right hand sides. Technical Report TR/PA/09/99, Keywords: Preconditioners, linear systems, conjugate gradient, limited memory. BibTeX entry, Compressed PS, PDF |
| [5] |
S. Gratton, P. Laloyaux, A. Sartenaer, and J. Tshimanga.
A reduced and limited memory preconditioned approach for the 4dvar problem in data assimilation. Technical Report TR/PA/09/98, Keywords: Data assimilation, reduced 4DVar, seek filter, empirical orthogonal functions, limited memory preconditioner. BibTeX entry, Compressed PS, PDF |
| [6] |
S. Gratton, M. Mouffe, and Ph. L. Toint.
Stopping rules and backward error analysis for bound-constrained optimization. Technical Report TR/PA/09/95, Keywords: Nonlinear optimization, bound constraints, stopping criterion, backward error, multicriteria optimization. BibTeX entry, Compressed PS, PDF |
| [7] |
P. Jiránek and D. Titley-Peloquin.
Estimating the minimal backward error in LSQR. Technical Report TR/PA/09/77, Keywords: Linear least squares, iterative methods, large sparse matrix problems, stopping criteria, backward perturbation analysis. BibTeX entry, Compressed PS, PDF |
| [8] |
I. S. Duff and D. Mijuca.
On accurate and time efficient solution of primal-mixed finite-element equations in multiscale solid mechanics. Technical Report TR/PA/09/67, Keywords: Solid mechanics, thermoelasticity, geometrically multiscale, primal-mixed finite element, reliable, sparse, indefinite, time efficient, scaling, HSL, multifrontal method. Also appeared as Report RAL-TR-2009-013. BibTeX entry, Compressed PS, PDF |
| [9] |
I. S. Duff and B. Uçar.
Combinatorial problems in solving linear systems. Technical Report TR/PA/09/60, Keywords: Combinatorial scientific computing, graph theory, combinatorial optimization, sparse matrices, linear system solution. BibTeX entry, Compressed PS, PDF |
| [10] |
I. S. Duff and B. Uçar.
On the block triangular form of symmetric matrices. Technical Report TR/PA/09/57, Keywords: Sparse matrices, block triangular form, Dulmage-Mendelsohn decomposition, maximum cardinality matchings. Revised and extended version of TR/PA/08/26. BibTeX entry, Compressed PS, PDF |
| [11] |
Ph. Avery, Ch. Farhat, and U. Hetmaniuk.
A Padé-based factorization-free algorithm for identifying the eigenvalues missed by a generalized symmetric eigensolver. Technical Report TR/PA/09/53, Keywords: Eigensolver, missed eigenvalue, Padé, Sturm sequence. BibTeX entry, Compressed PS, PDF |
| [12] |
D. Ghosh, Ph. Avery, and Ch. Farhat.
A FETI-preconditioned congugate gradient method for large-scale stochastic finite element problems. Technical Report TR/PA/09/52, Keywords: Domain decomposition, FETI, polynomial chaos, stochastic finite element, uncertainty. BibTeX entry, Compressed PS, PDF |
| [13] |
Ph. Avery and Ch. Farhat.
The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces. Technical Report TR/PA/09/51, Keywords: Contact, Domain decomposition, FETI, Quadratic programming. Preliminary version of an article published in Computer Methods in Applied Mechanics and Engineering, vol. 198, number 21-26, pp 1673-1683. BibTeX entry, Compressed PS, PDF |
| [14] |
M. Mouffe, S. Gratton, A. Sartenaer, Ph. L. Toint, and D. Tomanos.
Numerical experience with a recursive trust-region method for multilevel nonlinear bound-constrained optimization. Technical Report TR/PA/09/48, Keywords: Nonlinear optimization, bound-constrained problems, multilevel problems, simplified models, recursive algorithms, numerical performance. BibTeX entry, Compressed PS, PDF |
| [15] |
M. Baboulin and S. Gratton.
Using dual techniques to derive componentwise and mixed condition numbers for a linear functional of a linear least squares solution. Technical Report TR/PA/09/47, Keywords: Dual norm, adjoint operator, componentwise perturbations, condition number, linear least squares. BibTeX entry |
| [16] |
M. Baboulin, J. Dongarra, S. Gratton, and J. Langou.
Computing the conditioning of the components of a linear least squares solution. Technical Report TR/PA/09/46, Keywords: Linear least squares. BibTeX entry |
| [17] |
M. Fares, S. Gratton, and Ph. L. Toint.
SVD-tail: a new linear-sampling reconstruction method for inverse scattering problems. Technical Report TR/PA/09/45, Keywords: Inverse scattering, linear sampling method, regularization heuristics, eigenspace recovery, numerical algorithms. BibTeX entry, Compressed PS, PDF |