Abstract
In this paper, a functional k-potent matrix satisfies the equation A k=αI +βA r, where k and r are positive integers, α and β 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 244-253 |
| Number of pages | 10 |
| Journal | WSEAS Transactions on Mathematics |
| Volume | 9 |
| Issue number | 4 |
| State | Published - Apr 2010 |
Keywords
- Diagonalizability
- Idempotent
- Image encryption
- Involutary
- Nilpotent
- Skewed k-potent matrix
- Unipotent
ASJC Scopus subject areas
- Algebra and Number Theory
- Endocrinology, Diabetes and Metabolism
- Statistics and Probability
- Discrete Mathematics and Combinatorics
- Management Science and Operations Research
- Control and Optimization
- Computational Mathematics
- Applied Mathematics
