On the computational and numerical approaches for the powers of the doubly Lefkovitch matrix by linear difference equations
Authors
A. Aloui
- Departement de Mathematiques et Informatique, Faculte des Sciences, Universite Ibn Tofail, Kenitra, Morocco.
M. Rachidi
- Institute of Mathematics INMA, Federal University of Mato Grosso do Sul UFMS, Campo Grande, MS 79070-900, Brazil.
Abstract
We explore here a study to derive purely explicit formulas for entries of the \(n-th\) powers of doubly Lefkovitch matrices. Our tool is based on some linear properties of difference equations, including recursive, analytical and derivative aspects of solutions to these equations. Three algorithms for computing the entries of the powers of doubly Lefkovitch matrix are built. Moreover, illustrative applications and examples are furnished.
Share and Cite
ISRP Style
A. Aloui, M. Rachidi, On the computational and numerical approaches for the powers of the doubly Lefkovitch matrix by linear difference equations, Journal of Mathematics and Computer Science, 31 (2023), no. 3, 287--304
AMA Style
Aloui A., Rachidi M., On the computational and numerical approaches for the powers of the doubly Lefkovitch matrix by linear difference equations. J Math Comput SCI-JM. (2023); 31(3):287--304
Chicago/Turabian Style
Aloui, A., Rachidi, M.. "On the computational and numerical approaches for the powers of the doubly Lefkovitch matrix by linear difference equations." Journal of Mathematics and Computer Science, 31, no. 3 (2023): 287--304
Keywords
- Doubly Lefkovitch matrix
- entries of the powers of doubly Lefkovitch matrix
- linear difference equations
- doubly Leslie matrix
MSC
References
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