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Browsing by Author "Marín Mateos-Aparicio, José"

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Browsing by Author "Marín Mateos-Aparicio, José"

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    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 ...
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    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 ...
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    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 ...
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    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 ...
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    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 ...
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    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 ...
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    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, ...
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    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 ...
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    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 ...
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    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 ...
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    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 ...
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    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.
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    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 ...
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    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 ...
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    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 ...