Explicit formulas for the constituent matrices. Application to the matrix functions-Reference-Cited by-同舟云学术

Explicit formulas for the constituent matrices. Application to the matrix functions

Published:2015-01-23 Issue:1 Volume:3 Page:
ISSN:2300-7451
Container-title:Special Matrices
language:
Short-container-title:

Author:

Taher R. Ben,Rachidi M.

Abstract

AbstractWe present a constructive procedure for establishing explicit formulas of the constituents matrices. Our approach is based on the tools and techniques from the theory of generalized Fibonacci sequences. Some connections with other results are supplied. Furthermore,we manage to provide tractable expressions for the matrix functions, and for illustration purposes we establish compact formulas for both the matrix logarithm and the matrix pth root. Some examples are also provided.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2015-0004/pdf

Reference14 articles.

1. Computing the pth Roots of a Matrix with Repeated Eigenvalues Applied Mathematical No;Sadeghi;Sciences,2011

2. The Missing Spectral Basis in Algebra and Number Theory The American Mathematical No;Sobczyk;Monthly,2001

3. Application of Markov chains properties to r - generalized Fibonacci sequences;Mouline;Fibonacci Quarterly,1999

4. On the existence and uniqueness of the real logarithm of matrix Proceeding of the American Mathematical No;Culver;Society,1966

5. On weighted r - generalized Fibonacci sequences;Dubeau;Fibonacci Quarterly,1997

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generalized Tetranacci Hybrid Numbers;Annales Mathematicae Silesianae;2020-10-06

2. On the matrix pth root functions and generalized Fibonacci sequences;Journal of Information and Optimization Sciences;2018-05-02

3. An effective recursive formula for the Frobenius covariants in matrix functions;Special Matrices;2017-01-26