Öz
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
Anahtar Kelimeler
Continued fraction expansion positive definite matrix function of matrices
Kaynakça
- T.Ando, Topics on operators inequalities, Ryukyu Univ. Lecture Note Series, 1 (1978).
- S. M. Cox & P. C. Matthews: Exponential time diferencing for sti_ systems. J. Comp. Phys., 176 (2); 430-455, 2002.
- A. Cuyt & V. Brevik Petersen, Handbook of continued fractions for special functions, Springer (2007).
- F. R. Gantmacher: The Theory of Matrices, Vol. I. Chelsa, New York, 1959. Elsevier Science Publishers, (1992).
- 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).
- Peter Lancaster & Miron Tismenetsky. The Theory of Matrices. Academic Press, New York, second editions, (1985).
- L.Lorentzen, H.Wadeland, Continued fractions with application, Elseiver Science Publishers, (1992).
- M.Raissouli & A.Kacha, Convergence for matrix continued fractions, Linear Algebra and its Applications, bf 320 (2000), pp.115-129.
- M.Raissouli & F.Leazizi, Continued fractions expansion of the geometric matrix means and applications, Linear Algebra and its Appl, 359 (2003), pp. 37-57.
- R.S.Varga, On higher order stable implicit methods for solving parabolic partial diferential equations, J. Math. Phys, 40 (1961), pp. 220-231.
Öz
Kaynakça
- T.Ando, Topics on operators inequalities, Ryukyu Univ. Lecture Note Series, 1 (1978).
- S. M. Cox & P. C. Matthews: Exponential time diferencing for sti_ systems. J. Comp. Phys., 176 (2); 430-455, 2002.
- A. Cuyt & V. Brevik Petersen, Handbook of continued fractions for special functions, Springer (2007).
- F. R. Gantmacher: The Theory of Matrices, Vol. I. Chelsa, New York, 1959. Elsevier Science Publishers, (1992).
- 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).
- Peter Lancaster & Miron Tismenetsky. The Theory of Matrices. Academic Press, New York, second editions, (1985).
- L.Lorentzen, H.Wadeland, Continued fractions with application, Elseiver Science Publishers, (1992).
- M.Raissouli & A.Kacha, Convergence for matrix continued fractions, Linear Algebra and its Applications, bf 320 (2000), pp.115-129.
- M.Raissouli & F.Leazizi, Continued fractions expansion of the geometric matrix means and applications, Linear Algebra and its Appl, 359 (2003), pp. 37-57.
- R.S.Varga, On higher order stable implicit methods for solving parabolic partial diferential equations, J. Math. Phys, 40 (1961), pp. 220-231.
Ayrıntılar
| Bölüm | Articles |
|---|---|
| Yazarlar | |
| Yayımlanma Tarihi | 1 Nisan 2013 |
| Yayımlandığı Sayı | Yıl 2013 Cilt: 1 Sayı: 1 |