Continued fraction expansions of real powers of positive definite matrices with applications to matrix means
Joint Authors
Raissoulli, M.
Kacha, A.
Salhi, S.
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 31, Issue 1A (31 Jan. 2006), pp.41-55, 15 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2006-01-31
Country of Publication
Saudi Arabia
No. of Pages
15
Main Subjects
Abstract AR
نهدف من خلال هذا البحث إلى تقديم بعض النتائج و التطبيقات للكسور المتصلة الخاصة بالمصفوفات.
في البداية، سوف نقدم نشرا ل Aα باعتماد الكسور المتصلة حيث A مصفوفة معرفة ايجابيا و α عدد حقيقي موجب قطعا.
ثم سوف نعطي تطبيقا يمكن من حساب المعدلات الهندسية للمصفوفات بطريقة جيدة.
و ختم هذا العمل بإعطاء بعض التطبيقات العددية للنتائج النظرية المحصل عليها.
Abstract EN
The aim of this paper is to provide some results and applications for continued fractions with matrix arguments.
First, we introduce a continued fraction expansion of Aα where A is a positive definite matrix and α a positive real.
Then we provide an application to matrix means (defined below), which makes their computation practical as well as efficient.
At the end, some numerical examples are discussed.
American Psychological Association (APA)
Raissoulli, M.& Kacha, A.& Salhi, S.. 2006. Continued fraction expansions of real powers of positive definite matrices with applications to matrix means. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 31, no. 1A, pp.41-55.
https://search.emarefa.net/detail/BIM-358467
Modern Language Association (MLA)
Raissoulli, M.…[et al.]. Continued fraction expansions of real powers of positive definite matrices with applications to matrix means. The Arabian Journal for Science and Engineering. Section A, Science Vol. 31, no. 1A (Jan. 2006), pp.41-55.
https://search.emarefa.net/detail/BIM-358467
American Medical Association (AMA)
Raissoulli, M.& Kacha, A.& Salhi, S.. Continued fraction expansions of real powers of positive definite matrices with applications to matrix means. The Arabian Journal for Science and Engineering. Section A, Science. 2006. Vol. 31, no. 1A, pp.41-55.
https://search.emarefa.net/detail/BIM-358467
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 55
Record ID
BIM-358467
