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Invertibility and Explicit Inverses of Circulant-Type Matrices with -Fibonacci and -Lucas Numbers

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  • Zhaolin Jiang
  • Yanpeng Gong
  • Yun Gao

Abstract

Circulant matrices have important applications in solving ordinary differential equations. In this paper, we consider circulant-type matrices with the -Fibonacci and -Lucas numbers. We discuss the invertibility of these circulant matrices and present the explicit determinant and inverse matrix by constructing the transformation matrices, which generalizes the results in Shen et al. (2011).

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  • Zhaolin Jiang & Yanpeng Gong & Yun Gao, 2014. "Invertibility and Explicit Inverses of Circulant-Type Matrices with -Fibonacci and -Lucas Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, May.
    • Handle: RePEc:hin:jnlaaa:238953
    DOI: 10.1155/2014/238953
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    Cited by:

    1. Zhaolin Jiang & Weiping Wang & Yanpeng Zheng & Baishuai Zuo & Bei Niu, 2019. "Interesting Explicit Expressions of Determinants and Inverse Matrices for Foeplitz and Loeplitz Matrices," Mathematics, MDPI, vol. 7(10), pages 1-19, October.

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