On the characteristic polynomial of the real part of the frobenius companion matrix
Author
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 25, Issue 1 (31 Dec. 2010), pp.119-124, 6 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2010-12-31
Country of Publication
Jordan
No. of Pages
6
Main Subjects
Topics
Abstract AR
لتكن C (P) هي المصفوفة الرفيقة (Frobenius companion matrix) لكثير حدود عقدي P بمتغير واحد.
في هذا البحث نبين طريقة لكتابة كثير الحدود الذاتي للجزء الحقيقي الديكارتي من C(P)، ReC(P) = 1/2 [C(P)+ 〖C (P)〗^*]، كتجميع خطي لكثيرات حدود من نوع شيبيشيف (Chebychev).
2000 Mathematics Subject Classification : 15A18, 15A97, 26C10, 42C05
Abstract EN
Let C, (p) denote the Frobenius companion matrix of the monic polynomial p with complex coefficients and let ReC, (p) be the Cartesian real part of C, (p).
An expansion of the characteristic polynomial of ReC, (p) as a linear combination of a type of Chebyshev polynomials is obtained.
2000 Mathematics Subject Classification: 15A18, 15A97, 26C10, 42C05
American Psychological Association (APA)
al-Sakit, Amal Hikmat. 2010. On the characteristic polynomial of the real part of the frobenius companion matrix. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 25, no. 1, pp.119-124.
https://search.emarefa.net/detail/BIM-253076
Modern Language Association (MLA)
al-Sakit, Amal Hikmat. On the characteristic polynomial of the real part of the frobenius companion matrix. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 25, no. 1 (Dec. 2010), pp.119-124.
https://search.emarefa.net/detail/BIM-253076
American Medical Association (AMA)
al-Sakit, Amal Hikmat. On the characteristic polynomial of the real part of the frobenius companion matrix. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2010. Vol. 25, no. 1, pp.119-124.
https://search.emarefa.net/detail/BIM-253076
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 123-124
Record ID
BIM-253076
