Deflated BiCG with an Application to Model Reduction
Joint Authors
Li, Hou-Biao
Meng, Jing
Zhu, Pei-Yong
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Most calculations in model reduction involve the solutions of a sequence of dual linear systems with multiple right-hand sides.
To solve such systems efficiently, a new deflated BiCG method is explored in this paper.
The proposed algorithm uses harmonic Ritz vectors to approximate left and right invariant subspaces inexpensively via small descenting direction vectors found by subsequent runs of deflated BiCG and then derives the deflated subspaces for the next pair of dual linear systems.
This process leads to faster convergence for the next pair of systems.
Numerical examples illustrate the effectiveness of the proposed method.
American Psychological Association (APA)
Meng, Jing& Zhu, Pei-Yong& Li, Hou-Biao. 2015. Deflated BiCG with an Application to Model Reduction. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073638
Modern Language Association (MLA)
Meng, Jing…[et al.]. Deflated BiCG with an Application to Model Reduction. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1073638
American Medical Association (AMA)
Meng, Jing& Zhu, Pei-Yong& Li, Hou-Biao. Deflated BiCG with an Application to Model Reduction. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1073638
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073638