Perturbation Analysis for the Matrix Equation X−∑i=1mAi∗XAi+∑j=1nBj∗XBj=I
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-16
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider the perturbation analysis of the matrix equation X−∑i=1mAi∗XAi+∑j=1nBj∗XBj=I.
Based on the matrix differentiation, we first give a precise perturbation bound for the positive definite solution.
A numerical example is presented to illustrate the sharpness of the perturbation bound.
American Psychological Association (APA)
Duan, Xue-Feng& Wang, Qing-Wen. 2012. Perturbation Analysis for the Matrix Equation X−∑i=1mAi∗XAi+∑j=1nBj∗XBj=I. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993691
Modern Language Association (MLA)
Duan, Xue-Feng& Wang, Qing-Wen. Perturbation Analysis for the Matrix Equation X−∑i=1mAi∗XAi+∑j=1nBj∗XBj=I. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993691
American Medical Association (AMA)
Duan, Xue-Feng& Wang, Qing-Wen. Perturbation Analysis for the Matrix Equation X−∑i=1mAi∗XAi+∑j=1nBj∗XBj=I. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993691
