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

Yan Wu, Daniel F. Linder

Research output: Contribution to journalArticlepeer-review

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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 languageAmerican English
JournalWSEAS Transactions on Mathematics
Volume9
StatePublished - Jan 1 2010

Keywords

  • Diagonalizability
  • Idempotent
  • Image encryption
  • Involutary
  • Nilpotent
  • Skewed k-potent matrix
  • Unipotent

DC Disciplines

  • Public Health
  • Biostatistics
  • Community Health

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