[EN] Computational electromagnetics based on the solution of the integral form of Maxwell s
equations with boundary element methods require the solution of large and dense linear
systems. For large-scale problems the ...
[EN] This article presents the work carried out to adapt the subject Mathematics II in
the Technical Architecture degree of the Polytechnic University of València
(UPV) to the confinement conditions due to the COVID-19 ...
[EN] An approximate inverse LU preconditioner is constructed based on the Sherman-Morrison formula. Applying recursively that inversion formula a multiplicative decomposition of the inverse of a matrix is obtained. This ...
[EN] We consider the numerical solution of linear systems arising from computational electromagnetics applications. For large scale problems the solution is usually obtained iteratively with a Krylov subspace method. It ...
Cerdán Soriano, Juana Mercedes; Faraj El Guelei, Táher; Malla Martínez, Natalia; Marín Mateos-Aparicio, José; Mas Marí, José(KENT STATE UNIVERSITY, ETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, USA, OH, 44242-0001, 2010)
[EN] In this paper block approximate inverse preconditioners to solve sparse nonsymmetric linear systems
with iterative Krylov subspace methods are studied. The computation of the preconditioners involves consecutive
updates ...
[EN] Let Ax = b be a large and sparse system of linear equations where A is a nonsingular matrix. An approximate solution is frequently obtained by applying preconditioned terations. Consider the matrix B = A + PQT where ...
Guerrero Flores, Danny Joel(Universitat Politècnica de València, 2018-07-02)
El tema principal de esta tesis es el desarrollo de técnicas de actualización de precondicionadores para resolver sistemas lineales de gran tamaño y dispersos Ax=b mediante el uso de métodos iterativos de Krylov. Se ...
In this paper we survey our work on preconditioners based on the
Inverse Sherman-Morrison factorization. The most important theoretical results are also summarized and some numerical conclusions are provided.
Cerdán Soriano, Juana Mercedes; Guerrero-Flores, Danny Joel; Marín Mateos-Aparicio, José; Mas Marí, José(Elsevier, 2018-12-01)
[EN] We present a preconditioning technique for solving nonsymmetric linear systems Ax = b, where the coefficient matrix A has a skew-symmetric part that can be well approximated with a skew-symmetric low-rank matrix. The ...
[EN] In this paper we present a method for computing sparse preconditioners for iteratively solving rank deficient least squares problems (LS) by the LSMR method. The main idea of the method proposed is to update an ...