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Volume 9, Issue 2
The Semi-Convergence of Generalized SSOR Method for Singular Augmented Systems

J.-L. Li, T.-Z. Huang & D. Luo

Int. J. Numer. Anal. Mod., 9 (2012), pp. 270-275.

Published online: 2012-09

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  • Abstract

Recently, Zhang and Lu proposed the generalized symmetric SOR (GSSOR) method for solving the nonsingular augmented systems and studied the convergence of the GSSOR method. In this paper, we prove the semi-convergence of the GSSOR method when it is applied to solve the singular augmented systems, which is the generalization of the GSSOR iteration method.

  • Keywords

Semi-convergence, singular augmented systems, generalized symmetric SOR method, iterative method.

  • AMS Subject Headings

65F10, 65F50

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-9-270, author = {Li , J.-L.Huang , T.-Z. and Luo , D.}, title = {The Semi-Convergence of Generalized SSOR Method for Singular Augmented Systems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {2}, pages = {270--275}, abstract = {

Recently, Zhang and Lu proposed the generalized symmetric SOR (GSSOR) method for solving the nonsingular augmented systems and studied the convergence of the GSSOR method. In this paper, we prove the semi-convergence of the GSSOR method when it is applied to solve the singular augmented systems, which is the generalization of the GSSOR iteration method.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/626.html} }
TY - JOUR T1 - The Semi-Convergence of Generalized SSOR Method for Singular Augmented Systems AU - Li , J.-L. AU - Huang , T.-Z. AU - Luo , D. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 270 EP - 275 PY - 2012 DA - 2012/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/626.html KW - Semi-convergence, singular augmented systems, generalized symmetric SOR method, iterative method. AB -

Recently, Zhang and Lu proposed the generalized symmetric SOR (GSSOR) method for solving the nonsingular augmented systems and studied the convergence of the GSSOR method. In this paper, we prove the semi-convergence of the GSSOR method when it is applied to solve the singular augmented systems, which is the generalization of the GSSOR iteration method.

Li , J.-L.Huang , T.-Z. and Luo , D.. (2012). The Semi-Convergence of Generalized SSOR Method for Singular Augmented Systems. International Journal of Numerical Analysis and Modeling. 9 (2). 270-275. doi:
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