The Determinants, Inverses, Norm, and Spread of Skew Circulant Type Matrices Involving Any Continuous Lucas Numbers | Zendy

Jinjiang Yao | Zendy; Zhaolin Jiang | Zendy

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The Determinants, Inverses, Norm, and Spread of Skew Circulant Type Matrices Involving Any Continuous Lucas Numbers

Author(s) -

Jinjiang Yao,

Zhaolin Jiang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/239693

Subject(s) - circulant matrix , mathematics , skew , inverse , norm (philosophy) , combinatorics , matrix (chemical analysis) , matrix norm , pure mathematics , discrete mathematics , eigenvalues and eigenvectors , computer science , geometry , physics , telecommunications , materials science , quantum mechanics , political science , law , composite material

We consider the skew circulant and skew left circulant matrices with any continuous Lucas numbers. Firstly, we discuss the invertibility of the skew circulant matrices and present the determinant and the inverse matrices by constructing the transformation matrices. Furthermore, the invertibility of the skew left circulant matrices is also discussed. We obtain the determinants and the inverse matrices of the skew left circulant matrices by utilizing the relationship between skew left circulant matrices and skew circulant matrix, respectively. Finally, the four kinds of norms and bounds for the spread of these matrices are given, respectively

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