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Yao, Jin-jiang; Jiang, Zhao-lin

The determinants, inverses, norm, and spread of skew circulant type matrices involving any continuous Lucas numbers. (English) Zbl 1437.15052

J. Appl. Math. 2014, Article ID 239693, 10 p. (2014).
Summary: 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.

Cited in 3 Documents

MSC:

15B57 Hermitian, skew-Hermitian, and related matrices
15A15 Determinants, permanents, traces, other special matrix functions
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
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