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A Generalized HSS Iteration Method for Continuous Sylvester Equations
Joint Authors
Yang, Ai-Li
Wu, Yu-Jiang
Li, Xu
Yuan, Jin-Yun
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-12
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Based on the Hermitian and skew-Hermitian splitting (HSS) iteration technique, we establish a generalized HSS (GHSS) iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semidefinite matrices.
The GHSS method is essentially a four-parameter iteration which not only covers the standard HSS iteration but also enables us to optimize the iterative process.
An exact parameter region of convergence for the method is strictly proved and a minimum value for the upper bound of the iterative spectrum is derived.
Moreover, to reduce the computational cost, we establish an inexact variant of the GHSS (IGHSS) iteration method whose convergence property is discussed.
Numerical experiments illustrate the efficiency and robustness of the GHSS iteration method and its inexact variant.
American Psychological Association (APA)
Li, Xu& Wu, Yu-Jiang& Yang, Ai-Li& Yuan, Jin-Yun. 2014. A Generalized HSS Iteration Method for Continuous Sylvester Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-482177
Modern Language Association (MLA)
Li, Xu…[et al.]. A Generalized HSS Iteration Method for Continuous Sylvester Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-482177
American Medical Association (AMA)
Li, Xu& Wu, Yu-Jiang& Yang, Ai-Li& Yuan, Jin-Yun. A Generalized HSS Iteration Method for Continuous Sylvester Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-482177
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482177