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An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation AXB+CXHD=F
Joint Authors
Li, Ning
Jiang, Jing
Wang, Qing-Wen
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We propose an iterative algorithm for solving the reflexive solution of the quaternion matrix equation AXB+CXHD=F.
When the matrix equation is consistent over reflexive matrix X, a reflexive solution can be obtained within finite iteration steps in the absence of roundoff errors.
By the proposed iterative algorithm, the least Frobenius norm reflexive solution of the matrix equation can be derived when an appropriate initial iterative matrix is chosen.
Furthermore, the optimal approximate reflexive solution to a given reflexive matrix X0 can be derived by finding the least Frobenius norm reflexive solution of a new corresponding quaternion matrix equation.
Finally, two numerical examples are given to illustrate the efficiency of the proposed methods.
American Psychological Association (APA)
Li, Ning& Wang, Qing-Wen& Jiang, Jing. 2013. An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation AXB+CXHD=F. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-455414
Modern Language Association (MLA)
Li, Ning…[et al.]. An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation AXB+CXHD=F. Journal of Applied Mathematics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-455414
American Medical Association (AMA)
Li, Ning& Wang, Qing-Wen& Jiang, Jing. An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation AXB+CXHD=F. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-455414
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455414