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Listar por autor "Marín Mateos-Aparicio, José"

Mostrando ítems 1-15 de 15

A two-level ILU preconditioner for electromagnetic applications

Cerdán Soriano, Juana Mercedes; Marín Mateos-Aparicio, José; Mas Marí, José (Elsevier, 2017)

[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 ...
An inverse LU preconditioner based on the Sherman-Morrison formula

Bru García, Rafael; Cerdán Soriano, Juana Mercedes; Marín Mateos-Aparicio, José; Mas Marí, José (Universitatea "Ovidius" Constanta, 2024-04-01)

[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 ...
Application of the Jacobi Davidson method for spectral low-rank preconditioning in computational electromagnetics problems

Mas Marí, José; Cerdán Soriano, Juana Mercedes; Malla Martínez, Natalia; Marín Mateos-Aparicio, José (Springer, 2015-01)

[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 ...
Balanced incomplete factorization preconditioner with pivoting

Marín Mateos-Aparicio, José; Mas Marí, José (Springer-Verlag, 2023-01)

[EN] In this work we study pivoting strategies for the preconditioner presented in Bru (SIAM J Sci Comput 30(5):2302-2318, 2008) which computes the LU factorization of a matrix A. This preconditioner is based on the Inverse ...
Block approximate inverse preconditioners for sparse nonsymmetric linear systems

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 ...
Compact quasi-Newton preconditioners for symmetric positive definite linear systems

BERGAMASCHI, LUCA; Marín Mateos-Aparicio, José; MARTINEZ, ANGELES (John Wiley & Sons, 2020-12)

[EN] In this paper, preconditioners for the conjugate gradient method are studied to solve the Newton system with symmetric positive definite Jacobian. In particular, we define a sequence of preconditioners built by means ...
Improved balanced incomplete factorization

Bru García, Rafael; Marín Mateos-Aparicio, José; Mas Marí, José; Tuma, Miroslav (Society for Industrial and Applied Mathematics, 2010)

[EN] . In this paper we improve the BIF algorithm which computes simultaneously the LU factors (direct factors) of a given matrix and their inverses (inverse factors). This algorithm was introduced in [R. Bru, J. Mar´ın, ...
Low-rank updates of balanced incomplete factorization preconditioners

Cerdán Soriano, Juana Mercedes; Marín Mateos-Aparicio, José; Mas Marí, José (Springer-Verlag, 2017)

[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 ...
On Updating Preconditioners for the Iterative Solution of Linear Systems

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 ...
Pivoting in ISM factorizations

Mas Marí, José; Marín Mateos-Aparicio, José (Universitat Politècnica de València, 2022-07-15)

[EN] In this work we study pivoting strategies for the preconditioner presented Balanced Incomplete Preconditioner (SIAM J Sci Comput 30(5):2302¿2318, 2008) which computes the LU factorization of a matrix A. We present a ...
Preconditioned iterative methods for solving linear least squares problems

Bru García, Rafael; Marín Mateos-Aparicio, José; Mas Marí, José; Tuma, Miroslav (Society for Industrial and Applied Mathematics, 2014)

New preconditioning strategies for solving m × n overdetermined large and sparse linear least squares problems using the conjugate gradient for least squares (CGLS) method are described. First, direct preconditioning of ...
Preconditioners based on the ISM factorization

Bru García, Rafael; Cerdán Soriano, Juana Mercedes; Marín Mateos-Aparicio, José; Mas Marí, José; Tuma, Miroslav (Tipografia Universitatii Ovidius, 2015)

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.
Preconditioners for nonsymmetric linear systems with low-rank skew-symmetric part

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 ...
Preconditioners for rank deficient least squares problems

Cerdán Soriano, Juana Mercedes; Guerrero, D.; Marín Mateos-Aparicio, José; Mas Marí, José (Elsevier, 2020-07)

[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 ...
Updating preconditioners for modified least squares problems

Marín Mateos-Aparicio, José; Mas Marí, José; Guerrero-Flores, Danny Joel; Hayami, K. (Springer-Verlag, 2017)

[EN] In this paper, we analyze how to update incomplete Cholesky preconditioners to solve least squares problems using iterative methods when the set of linear relations is updated with some new information, a new variable ...