On k-circulant matrices with arithmetic sequence | Zendy

Biljana Radičić | Zendy

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On k-circulant matrices with arithmetic sequence

Author(s) -

Biljana Radičić

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1708517r

Subject(s) - circulant matrix , mathematics , invertible matrix , sequence (biology) , eigenvalues and eigenvectors , arithmetic , combinatorics , euclidean geometry , algebra over a field , pure mathematics , discrete mathematics , geometry , genetics , physics , quantum mechanics , biology

Let k be a nonzero complex number. In this paper we consider k - circulant matrices with arithmetic sequence and investigate the eigenvalues, determinants and Euclidean norms of such matrices. Also, for k=1 , the inverses of such ( invertible ) matrices are obtained (in a way different from the way presented in the paper: M. Bahsi and S. Solak , On the Circulant Matrices with Arithmetic Sequence , Int. J. Contemp . Math. Sci. 5 (25) (2010), 1213-1222, and the Moore-Penrose inverses of such (singular) matrices are derived.

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