Exploring the Set of Square Matrices with Circulant Operators

Exploring the Set of Square Matrices with Circulant Operators

Circulant operators are useful tools to highlight the way in which the twelve triangular matrix forms of Pascal triangle (collectively referred to as G-matrices) relate to each other. In this paper, we recall the notions of G-matrices and circulant operators, and then we present some main algebraic...

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Veröffentlicht in:WSEAS Transactions Mathematics 2007-02, Vol.6 (2), p.281-288
Hauptverfasser: Birregah, B., Doh, Prosper K., Adjallah, Kondo Hloindo
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Mathematics
Operator Algebras
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Zusammenfassung:Circulant operators are useful tools to highlight the way in which the twelve triangular matrix forms of Pascal triangle (collectively referred to as G-matrices) relate to each other. In this paper, we recall the notions of G-matrices and circulant operators, and then we present some main algebraic properties of these operators. We generalize these operators to the case of any square matrix.
ISSN:1109-2769
2224-2880