Publications of
Linear regression models, least-squares problems, normal equations, and stopping criteria for the conjugate gradient method
In : Computer Physics Communications (CPC), Elsevier, Vol. 183 N. 11, pp. 2322-2336, 2012.
Mario Arioli, Iain Duff, Serge Gratton, Stéphane Pralet
Note on GMRES Preconditionned by a Perturbed LDLt Decomposition with Static Pivoting. SIAM Journal on Scientific Computing
In : SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 25 N. 5, pp. 2024-2044, 2007.
Mario Arioli, Iain Duff, Daniel Ruiz, Miloud Sadkane
Block Lanczos techniques for accelerating the Block Cimmino method
In : SIAM J. on Scientific and Statistical Computing, Vol. 16, pp. 1478-1511, 1995.
Mario Arioli, Iain Duff, Joseph Noailles, Daniel Ruiz
A block projection method for sparse matrices
In : SIAM Journal on Scientific and Statistical Computing, Vol. 13, pp. 47-70, 1992.
Mario Arioli, Iain Duff, Daniel Ruiz
Stopping criteria for iterative solvers
In : SIAM Journal on Matrix Analysis and Applications, Vol. 13, pp. 138-144, 1992.
A Chebyshev-based two-stage iterative method as an alternative to the direct solution of linear systems
In : IMET 2004, Iterative Methods, Preconditioning & Numerical PDEs, Prague, Czech Republic, 22/05/04-28/05/04, Radim Blaheta, Jiri Stary (Eds.).
A Chebyshev-based two-stage iterative method as an alternative to the direct solution of linear systems
In : Numerical Analysis 2001, Dundee, Scotland, UK, 26/06/01-29/06/01.
Preconditioners for the block conjugate gradient algorithm
In : IMA Conference on Linear Algebra and Its Applications, University of Manchester, England, 10/07/95.
Block Conjugate Gradient with Subspace Iteration for solving linear systems
In : Proceedings of the Second IMACS International Symposium on Iterative Methods in Linear Algebra, Blagoevgrad, Bulgaria, 17/06/95-20/06/95, Svetozar D. Margenov and Panayot S. Vassilevski, pp. 64-79, June 1995.
Mario Arioli, A Drummond, Iain Duff, Daniel Ruiz
A Parallel Scheduler for Block Iterative Solvers in Heterogeneous Computing Environments
In : Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, Philadelphia, USA, SIAM, pp. 460-465, January 1995.
Mario Arioli, Iain Duff, Daniel Ruiz, Miloud Sadkane
Techniques for accelerating the block Cimmino method
In : Fifth SIAM conference on Parallel Processing for Scientific Computing, Houston, Texas, USA, 10/04/92-17/04/92, J. Dongarra, K. Kennedy, P. Messina, D.C. Sorensen, Voigt (Eds.), SIAM, pp. 98-104, April 1992.