|
Article information
2004 , Volume 9, ¹ 5, p.102-113
Chikina L.G., Krukier B.L.
Two parameters double cyclic iterative method for solving strongly non-symmetric linear equation systems
An idea of including only skew-symmetric component of a matrix into the iterative operator of the triangular parts belongs to L.A. Krukier (1979). Further, this idea was developed by him and his collaborators for the product (PTKM) and the double cyclic (DTKM) triangular skew-symmetric methods, where only one relaxation parameter was included into the operator of the method. The novelty of the suggested methods consists in the generalization to the case of two different parameters (relaxation parameter is different from the parameter in the operator of the method) of the method DTKM and in the application of the new ideas for the proof of convergence.
[full text] Classificator Msc2000:- *65F10 Iterative methods for linear systems
- 65N06 Finite difference methods
Keywords: dissipative matrix, acceleration of two-cycle methods
Author(s):
Chikina Lyubov Grigorievna
PhD.
Position: Senior Research Scientist
Office: Rostov state university
Address: 630090, Russia, Rostov
Phone Office: (8632) 97 50 94
E-mail: lchikina@rsu.ru
Krukier B.L.
Office: Rostov state university
Address: 630090, Russia, Rostov
E-mail: bk@rsu.ru
Bibliography link:
Chikina L.G., Krukier B.L. Two parameters double cyclic iterative method for solving strongly non-symmetric linear equation systems // Computational technologies. 2004. V. 9. ¹ 5. P. 102-113
|
|
|
|
