Some recent papers



(click on the title you are interested in to download the corresponding .pdf file)

2017

L. Bergamaschi, E. Facca, A. Martínez and M. Putti.
Spectral preconditioners for the efficient numerical solution of a continuous branched transport model
JCAM, Published online on 31 January, 2018.

L. Bergamaschi and A. Martínez.
Spectral acceleration of parallel iterative eigensolvers for large scale scientific computing
Proceeding of the Parco2017 Conference, Bologna, September 2017

L. Bergamaschi, D. di Serafino, V. De Simone and A. Martínez.
BFGS-like updates of constraint preconditioners for sequences of KKT linear systems in quadratic programming
Numerical Linear Algebra with Applications, in press

L. Bergamaschi and A. Martínez.
Two-stage spectral preconditioners for iterative eigensolvers
Numerical Linear Algebra with Applications, 24(3): 1-14, 2017

2016

A. Martínez.
Tuned preconditioners for the eigensolution of large SPD matrices arising in engineering problems
Numerical Linear Algebra with Applications, 23: 427-443, 2016

2015

L. Bergamaschi and A. Martínez.
Efficiently preconditioned inexact Newton methods for large symmetric eigenvalue problems.
Optimization Methods and Software, DOI:10.1080/10556788.2014.908878.


2013

L. Bergamaschi and A. Martínez.
Parallel RFSAI-BFGS preconditioners for large symmetric eigenproblems.
Journal of Applied Mathematics, vol. 2013, Article ID 767042, 10 pages, 2013. doi:10.1155/2013/767042.


L. Bergamaschi, R. Bru, A. Martínez, J. Mas and M. Putti.
Low-Rank update of preconditioners for the nonlinear Richards equation.
Mathematical and Computer Modelling, 57(7--8):1933--1941, 2013.


2012

L. Bergamaschi and A. Martínez.
Banded target matrices and recursive FSAI for parallel preconditioning
Numerical Algorithms, 61(2):223-241, 2012.


 L. Bergamaschi, A. Martínez, and G. Pini.
Parallel Rayleigh Quotient Optimization with FSAI Preconditioning.
Journal of Applied Mathematics, accepted on February 3, 2012.


L. Bergamaschi and A. Martínez.
RMCP: Relaxed Mixed Constraint Preconditioners for Saddle Point Linear Systems arising in Geomechanics
Comp. Meth. Appl. Mech. Engrg. 221--222: 54--62, 2012


L. Bergamaschi, R. Bru, A. Martínez, and M. Putti.
Quasi-Newton acceleration of ILU preconditioners for nonlinear two-phase flow equations in porous media.
Advances in Engineering Software, 46(1): 63-68, 2012.


2011

L. Bergamaschi, R. Bru, and A. Martínez.
Low-rank update of preconditioners for the inexact Newton method with SPD jacobian.
Mathematical and Computer Modelling, 54: 1863-1873, 2011.


L. Bergamaschi and A. Martínez.
Parallel Inexact Constraint Preconditioners for Saddle Point Problems
LNCS, 6583: 78i--89, 2011.


L. Bergamaschi, and A. Martínez.
FSAI-based Parallel Mixed Constraint Preconditioners for Saddle Point Problems Arising in Geomechanics.
Journal of Computational and Applied Mathematics, 236(3):308-318, 2011.


2010

L. Bergamaschi, A. Martínez, and G. Pini.
Parallel Mixed Constraint Preconditioners for the iterative solution of Coupled Consolidation Problems.
Proceedings of the Seventh Int. Conf. on Engineering Comput. Technology, Paper 33. Civil-Comp Press, 2010. CD-ROM.


2009

A. Martínez, L. Bergamaschi, M. Caliari, and M. Vianello.
A massively parallel exponential integrator for advection-diffusion models.
JCAM, 231(1):82--91, 2009.

L. Bergamaschi, A. Martínez, and G. Pini.
An efficient parallel MLPG method for poroelastic models.
CMES 49(3):191--216, 2009.


2006

L. Bergamaschi, M. Caliari, A. Martínez, and M. Vianello.
Comparing Leja and Krylov approximations of large scale matrix exponentials
ICCS 2006, Reading (UK), LNCS 3994, pp 685-692, 2006.


L.Bergamaschi, A.Martínez, and G.Pini.
Parallel PCG optimization of the Rayleigh quotient for the solution of sparse eigenproblems.
Applied Mathematics and Computation, 175(2), pp. 1694--1715, 2006.


L. Bergamaschi, R. Bru, A. Martínez, and M. Putti.
Quasi-Newton preconditioners for the Inexact Newton method
ETNA, 23 pp. 63-74, 2006.


2005

L. Bergamaschi, M. Caliari, A. Martínez, and M. Vianello.
A parallel exponential integrator for large-scale discretizations of advection-diffusion models.
Recent Advances in PVM and MPI, LNCS 3666, pp. 483-492, 2005.


L. Bergamaschi, and A. Martínez
Parallel acceleration of Krylov solvers by factorized approximate inverse preconditioners.
Proceedings of the 6th international Meeting Vecpar04. LNCS 3402 pp. 623-636, 2005.


2004

L. Bergamaschi, A. Martínez and G. Pini
Parallel solution of sparse eigenproblems by simultaneous Rayleigh quotient optimization with preconditioning.
Proceedings of ParCo 03 Conference, pp. 275-282, 2004.


2000

J. Cerdán, J. Marín, and A. Martínez
Polynomial preconditioners based on factorized sparse approximate inverses.
Applied Mathematics and Computation, 133:171--186.


P. Favati, M. Leoncini, and A. Martínez.
On the robustness of Gaussian elimination with partial pivoting.
BIT Numerical Mathematics, 40(1):62--73.


R. Bru, C. Corral, A. Martínez, and J. Mas.
Multisplitting preconditioners based on incomplete Choleski factorizations.
SIAM Journal on Matrix Analysis and Applications, 16(4):1210--1222.


Accesses since 18/05/2014