Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10553/47206
Título: New implementation of QMR-type algorithms
Autores/as: García, M. D.
Florez, E. 
Suárez Sarmiento, Antonio Félix 
González, L. 
Montero, G. 
Clasificación UNESCO: 12 Matemáticas
1206 Análisis numérico
Palabras clave: Krylov subspace methods
Nonsymmetric linear systems
Preconditioning
Quasi-minimal residual methods
Reordering, et al.
Fecha de publicación: 2005
Proyectos: Simulacion Numerica de Campos de Viento Orientados A Procesos Atmofericos. 
Publicación seriada: Computers and Structures 
Conferencia: 9th International Conference on Civil and Structural Engineering Computing/7th International Conference on the Application of Artificial Intelligence to Civil and Structural Engineering 
Resumen: Quasi-minimal residual algorithms, these are QMR, TFQMR and QMRCGSTAB, are biorthogonalisation methods for solving nonsymmetric linear systems of equations which improve the irregular behaviour of BiCG, CGS and BiCGSTAB algorithms, respectively. They are based on the quasi-minimisation of the residual using the standard Givens rotations that lead to iterations with short term recurrences. In this paper, these quasi-minimisation problems are solved using a different direct solver which provides new versions of QMR-type methods, the modified QMR methods (MQMR). MQMR algorithms have different convergence behaviour in finite arithmetic although are equivalent to the standard ones in exact arithmetic. The new implementations may reduce the number of iterations in some cases. In addition, we study the effect of reordering and preconditioning with Jacobi, ILU, SSOR or sparse approximate inverse preconditioners on the performance of these algorithms. Some numerical experiments are solved in order to compare the results obtained by standard and modified algorithms.
URI: http://hdl.handle.net/10553/47206
ISSN: 0045-7949
DOI: 10.1016/j.compstruc.2005.03.026
Fuente: Computers and Structures [ISSN 0045-7949], v. 83 (28-30), p. 2414-2422
Colección:Actas de congresos
Vista completa

Citas SCOPUSTM   

4
actualizado el 24-mar-2024

Visitas

115
actualizado el 10-feb-2024

Google ScholarTM

Verifica

Altmetric


Comparte



Exporta metadatos



Los elementos en ULPGC accedaCRIS están protegidos por derechos de autor con todos los derechos reservados, a menos que se indique lo contrario.