Continued fraction expansions of some functions of positive definite matrices

Volume: 1 Number: 1 April 1, 2013
  • Ali Kacha
  • Brahim Ounir
  • Brahim Moalige
EN TR

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

  1. T.Ando, Topics on operators inequalities, Ryukyu Univ. Lecture Note Series, 1 (1978).
  2. S. M. Cox & P. C. Matthews: Exponential time diferencing for sti_ systems. J. Comp. Phys., 176 (2); 430-455, 2002.
  3. A. Cuyt & V. Brevik Petersen, Handbook of continued fractions for special functions, Springer (2007).
  4. F. R. Gantmacher: The Theory of Matrices, Vol. I. Chelsa, New York, 1959. Elsevier Science Publishers, (1992).
  5. V. Gen H. Golub & Charles F. Van Loan: Matrix Computations, Johns Hopking University Press, Baltimore, MD, USA, third edition, (1996).
  6. W.B.Jons & W.J. Thron: Continued Fractions, Analytic Theory and Applications, Addison-Westly Publishing Company, 5. (1980).
  7. Peter Lancaster & Miron Tismenetsky. The Theory of Matrices. Academic Press, New York, second editions, (1985).
  8. L.Lorentzen, H.Wadeland, Continued fractions with application, Elseiver Science Publishers, (1992).

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Ali Kacha This is me

Brahim Ounir This is me

Brahim Moalige This is me

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