Skew circulant type matrices involving the sum of Fibonacci and Lucas numbers. (English) Zbl 1383.15027

Jiang, Zhaolin; Wei, Yunlan

Abstr. Appl. Anal. 2015, Article ID 951340, 9 p. (2015).

Summary: Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed. The invertibility of the skew circulant type matrices is considered. The determinant and the inverse matrices are presented. Furthermore, the maximum column sum matrix norm, the spectral norm, the Euclidean (or Frobenius) norm, the maximum row sum matrix norm, and bounds for the spread of these matrices are given, respectively.

MSC:

15B05	Toeplitz, Cauchy, and related matrices
15B36	Matrices of integers

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