caa a22 4500 445851856 CHVBK 20180317145415.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s11227-009-0351-0 doi (NATIONALLICENCE)springer-10.1007/s11227-009-0351-0 Parallel nonlinear preconditioners on multicore architectures [Elektronische Daten] [Vicente Galiano, Héctor Migallón, Violeta Migallón, José Penadés] Parallel nonlinear preconditioners, for solving mildly nonlinear systems, are proposed. These algorithms are based on both the Fletcher-Reeves version of the nonlinear conjugate gradient method and a polynomial preconditioner type based on block two-stage methods. The behavior of these algorithms is analyzed when incomplete LU factorizations are used in order to obtain the inner splittings of the block two-stage method. As our illustrative example we have considered a nonlinear elliptic partial differential equation, known as the Bratu problem. The reported experiments show the performance of the algorithms designed in this work on two multicore architectures. Springer Science+Business Media, LLC, 2009 Multicore nationallicence Nonlinear conjugate gradient algorithms nationallicence ILUfactorizations nationallicence Two-stage methods nationallicence Bratu problem nationallicence Galiano Vicente Departamento de Física y Arquitectura de Computadores, Universidad Miguel Hernández, 03202, Elche, Alicante, Spain aut Migallón Héctor Departamento de Física y Arquitectura de Computadores, Universidad Miguel Hernández, 03202, Elche, Alicante, Spain aut Migallón Violeta Departamento de Ciencia de la Computación e Inteligencia Artificial, Universidad de Alicante, 03071, Alicante, Spain aut Penadés José Departamento de Ciencia de la Computación e Inteligencia Artificial, Universidad de Alicante, 03071, Alicante, Spain aut The Journal of Supercomputing Springer US; http://www.springer-ny.com 58/2(2011-11-01), 160-167 0920-8542 58:2<160 2011 58 11227 https://doi.org/10.1007/s11227-009-0351-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11227-009-0351-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Galiano Vicente Departamento de Física y Arquitectura de Computadores, Universidad Miguel Hernández, 03202, Elche, Alicante, Spain aut NATIONALLICENCE 700 1- Migallón Héctor Departamento de Física y Arquitectura de Computadores, Universidad Miguel Hernández, 03202, Elche, Alicante, Spain aut NATIONALLICENCE 700 1- Migallón Violeta Departamento de Ciencia de la Computación e Inteligencia Artificial, Universidad de Alicante, 03071, Alicante, Spain aut NATIONALLICENCE 700 1- Penadés José Departamento de Ciencia de la Computación e Inteligencia Artificial, Universidad de Alicante, 03071, Alicante, Spain aut NATIONALLICENCE 773 0- The Journal of Supercomputing Springer US; http://www.springer-ny.com 58/2(2011-11-01), 160-167 0920-8542 58:2<160 2011 58 11227 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer