Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 296
Continued fraction representation of the generalized operator entropy
Ali Kacha, Sarra Ahallal, Said Mennou
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2256
April 15, 2256

Abstract: Recently, the extension of continued fractions theory from real numbers to the matrix case has seen several development and interesting applications [1,2,3,4]. Since calculations involving matrix valued functions with matrix arguments are feasible with large computers, it will be an interesting attempt to develop such matrix theory. The real case is relatively well studied in the literature [7,8]. However, in contrast to the theoretical importance, one can find in mathematical literature only a few results on the continued fractions with matrix argument [5,6]. The direct calculation of the ...