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Continued fraction expansions of some functions of positive definite matrices
Abstract
In this paper we recall some results of matrix functions with eal cofficients. The aim of this paper is to provide some properties and results of continued fractions with matrix arguments. Then we give continued fractions expansions of some inverse of hyperbolic and circular functions and where is a positive definite matrix
Keywords
References
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- V. Gen H. Golub & Charles F. Van Loan: Matrix Computations, Johns Hopking University Press, Baltimore, MD, USA, third edition, (1996).
- W.B.Jons & W.J. Thron: Continued Fractions, Analytic Theory and Applications, Addison-Westly Publishing Company, 5. (1980).
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Details
Primary Language
Turkish
Subjects
-
Journal Section
-
Publication Date
April 1, 2013
Submission Date
March 13, 2015
Acceptance Date
-
Published in Issue
Year 2013 Volume: 1 Number: 1
APA
Kacha, A., Ounir, B., & Moalige, B. (2013). CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences, 1(1), 49-54. https://izlik.org/JA44AK87GN
AMA
1.Kacha A, Ounir B, Moalige B. CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences. 2013;1(1):49-54. https://izlik.org/JA44AK87GN
Chicago
Kacha, Ali, Brahim Ounir, and Brahim Moalige. 2013. “CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES”. New Trends in Mathematical Sciences 1 (1): 49-54. https://izlik.org/JA44AK87GN.
EndNote
Kacha A, Ounir B, Moalige B (April 1, 2013) CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences 1 1 49–54.
IEEE
[1]A. Kacha, B. Ounir, and B. Moalige, “CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES”, New Trends in Mathematical Sciences, vol. 1, no. 1, pp. 49–54, Apr. 2013, [Online]. Available: https://izlik.org/JA44AK87GN
ISNAD
Kacha, Ali - Ounir, Brahim - Moalige, Brahim. “CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES”. New Trends in Mathematical Sciences 1/1 (April 1, 2013): 49-54. https://izlik.org/JA44AK87GN.
JAMA
1.Kacha A, Ounir B, Moalige B. CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences. 2013;1:49–54.
MLA
Kacha, Ali, et al. “CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES”. New Trends in Mathematical Sciences, vol. 1, no. 1, Apr. 2013, pp. 49-54, https://izlik.org/JA44AK87GN.
Vancouver
1.Ali Kacha, Brahim Ounir, Brahim Moalige. CONTINUED FRACTION EXPANSIONS OF SOME FUNCTIONS OF POSITIVE DEFINITE MATRICES. New Trends in Mathematical Sciences [Internet]. 2013 Apr. 1;1(1):49-54. Available from: https://izlik.org/JA44AK87GN