An Alternating Direction Implicit Method for Solving Projected Generalized Continuous-Time Sylvester Equations
Joint Authors
Lin, Yiqin
Zhou, Yujian
Bao, Liang
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We present the generalized low-rank alternating direction implicit method and the low-rank cyclic Smith method to solve projected generalized continuous-time Sylvester equations with low-rank right-hand sides.
Such equations arise in control theory including the computation of inner products and ℍ2 norms and the model reduction based on balanced truncation for descriptor systems.
The requirements of these methods are moderate with respect to both computational cost and memory.
Numerical experiments presented in this paper show the effectiveness of the proposed methods.
American Psychological Association (APA)
Zhou, Yujian& Bao, Liang& Lin, Yiqin. 2013. An Alternating Direction Implicit Method for Solving Projected Generalized Continuous-Time Sylvester Equations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031845
Modern Language Association (MLA)
Zhou, Yujian…[et al.]. An Alternating Direction Implicit Method for Solving Projected Generalized Continuous-Time Sylvester Equations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1031845
American Medical Association (AMA)
Zhou, Yujian& Bao, Liang& Lin, Yiqin. An Alternating Direction Implicit Method for Solving Projected Generalized Continuous-Time Sylvester Equations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1031845
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031845