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On the Eigenstructures of Functional K-Potent Matrices and Their Integral Forms
WSEAS Transactions on Mathematics
  • Yan Wu, Georgia Southern University
  • Daniel F. Linder, Georgia Southern University
Document Type
Article
Publication Date
1-1-2010
Disciplines
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.

Citation Information
Yan Wu and Daniel F. Linder. "On the Eigenstructures of Functional K-Potent Matrices and Their Integral Forms" WSEAS Transactions on Mathematics Vol. 9 (2010) p. 244 - 253
Available at: http://works.bepress.com/daniel_linder/6/