On reverse order laws for the weighted generalized inverse
Joint Authors
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 34, Issue 2A (31 Jul. 2009), pp.195-203, 9 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2009-07-31
Country of Publication
Saudi Arabia
No. of Pages
9
Main Subjects
Abstract AR
ندرس في هذه الورقة قوانين الترتيب العكسي لعدة أنواع من المعكوسات المعتمة الموزونة بما فيها معكوسات-g الموزونة ذات المعيار الأصغر الناتج عن ضرب مصفوفتين باستخدام تعبير الرتب القصوى و الدنيا لمتممات Schur المعتمة.
سنعرض شروطا ضرورية و كافية لتحقيق قوانين الترتيب العكسي لهذه المعكوسات المعممة الموزونة.
Abstract EN
In this paper we study the reverse order laws for several types of weighted generalized inverses including the weighted least square g−inverse and the weighted minimum norm g−inverse of a product of two matrices by using the expressions of maximal and minimal ranks of generalized Schur complements.
Necessary and sufficient conditions for the reverse order laws of these weighted generalized inverses to hold are presented.
American Psychological Association (APA)
Zheng, Bing& Xiong, Zhiping. 2009. On reverse order laws for the weighted generalized inverse. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 34, no. 2A, pp.195-203.
https://search.emarefa.net/detail/BIM-327721
Modern Language Association (MLA)
Zheng, Bing& Xiong, Zhiping. On reverse order laws for the weighted generalized inverse. The Arabian Journal for Science and Engineering. Section A, Science Vol. 34, no. 2A (Jul. 2009), pp.195-203.
https://search.emarefa.net/detail/BIM-327721
American Medical Association (AMA)
Zheng, Bing& Xiong, Zhiping. On reverse order laws for the weighted generalized inverse. The Arabian Journal for Science and Engineering. Section A, Science. 2009. Vol. 34, no. 2A, pp.195-203.
https://search.emarefa.net/detail/BIM-327721
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 202-203
Record ID
BIM-327721