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Weighted acute perturbation for two matrices
Joint Authors
Xu, Zhaoliang
Gu, Chao
Feng, Biao
Source
The Arabian Journal for Science and Engineering. D, Mathematics
Issue
Vol. 35, Issue 1D (31 May. 2010), pp.129-143, 15 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2010-05-31
Country of Publication
Saudi Arabia
No. of Pages
15
Main Subjects
Topics
Abstract AR
باستخدام طريقة تحليل القيم الشاذة المعممة، نقدم بعض النتائج على اضطراب المسقطات المائلة AA+MN و BB+MN، حيث يمثل A+MN معكوس Moore-Penrose الموزون للمصفوفة A، و M و N مصفوفتان هرميتيتان موجبتان.
كما نقدم اضطراب (M, N)-موزون حاد للمصفوفتين A و B و نناقش خواص هذا النوع من الاضطراب.
يمكن اعتبار نتائجنا هذه كامتداد لنتائج على المسقطات المتعامدة AA+ و BB+ و الاضطراب الحاد للمصفوفتين A و B.
Abstract EN
Using the method of generalized singular values decomposition, some results of the perturbation of the oblique projectors AA†MN and BB†MN are given, where A†MN is the weighted Moore–Penrose inverse of A, and M and N are two Hermitian positive definite matrices.
Also, an (M, N)-weighted acute perturbation for the two matrices A and B is introduced and the properties of this kind of perturbation are discussed.
Our work can be regarded as an extension of results on the orthogonal projectors AA† and BB† and the acute perturbation of the two matrices A and B.
American Psychological Association (APA)
Xu, Zhaoliang& Gu, Chao& Feng, Biao. 2010. Weighted acute perturbation for two matrices. The Arabian Journal for Science and Engineering. D, Mathematics،Vol. 35, no. 1D, pp.129-143.
https://search.emarefa.net/detail/BIM-546441
Modern Language Association (MLA)
Xu, Zhaoliang…[et al.]. Weighted acute perturbation for two matrices. The Arabian Journal for Science and Engineering. D, Mathematics Vol. 35, no. 1D (May. 2010), pp.129-143.
https://search.emarefa.net/detail/BIM-546441
American Medical Association (AMA)
Xu, Zhaoliang& Gu, Chao& Feng, Biao. Weighted acute perturbation for two matrices. The Arabian Journal for Science and Engineering. D, Mathematics. 2010. Vol. 35, no. 1D, pp.129-143.
https://search.emarefa.net/detail/BIM-546441
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 142
Record ID
BIM-546441