On the Eigenstructures of Functional K-Potent Matrices and Their Integral Forms

Authors

Yan Wu, Georgia Southern University
Daniel F. Linder, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

1-2010

Publication Title

WSEAS Transactions on Mathematics

ISSN

2224-2880

Abstract

In this paper, a functional k-potent matrix satisfies the equation, where k and r are positive integers, and are real numbers. This class of matrices includes idempotent, Nilpotent, and involutary matrices, and more. It turns out that the matrices in this group are best distinguished by their associated eigen-structures. The spectral properties of the matrices are exploited to construct integral k-potent matrices, which have special roles in digital image encryption.

Comments

Article obtained from the WSEAS Transactions on Mathematics.

Recommended Citation

Wu, Yan, Daniel F. Linder. 2010. "On the Eigenstructures of Functional K-Potent Matrices and Their Integral Forms." WSEAS Transactions on Mathematics, 9 (1): 244-253.
https://digitalcommons.georgiasouthern.edu/biostat-facpubs/2