Sunday 21 February 2010

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 89-421
Full Name: Yan Wu
Position: Associate Professor
Age: ON
Sex: Male
Address: Department of Mathematical Sciences, P. O. Box 8093, Georgia Southern University, Statesboro, GA 30460
Country: UNITED STATES
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E-mail address: yan@georgiasouthern.edu
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Title of the Paper: On the Eigenstructures of Functional K-Potent Matrices and Their Integral Forms
Authors as they appear in the Paper: Yan Wu and Daniel F. Linder
Email addresses of all the authors: yan@georgiasouthern.edu, dlinder@students.mcg.edu
Number of paper pages: 10
Abstract: In this paper, a functional k-potent matrix satisfies the equation A^k=alpha*I+beta*A^r , where k and r are positive integers, alpha and beta 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.
Keywords: Nilpotent, Idempotent, Involutary, Unipotent, Skewed k-potent Matrix, Diagonalizability, Image Encryption
EXTENSION of the file: .doc
Special (Invited) Session: K-Potent Matrices-Construction and Applications in Digital Image Encryption
Organizer of the Session: 629-357
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