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Research Article Open access CC BY 4.0

Exact Determinants and Inverses of Skew Symmetric Generalized Loeplitz Matrices

Xiaoting Chen

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 1 Oct 2019

10.9734/jamcs/2019/v33i630196

Abstract

In this paper, exact determinants and inverses of skew symmetric generalized Loeplitz matricesare given by constructing the special transformation matrices. And an example is provided to verify the feasibility of the formulas.

generalized Loeplitz matrix determinant inverse Lucas number.

References (7)

  1. 1 Algebraic Methods for Toeplitz-like Matrices and Operators [DOI]
  2. 2 On the Norms of Toeplitz Matrices Involving Fibonacci and Lucas Numbers
  3. 3 Invertibility and Explicit Inverses of Circulant-Type Matrices with k -Fibonacci and k -Lucas Numbers [DOI]
  4. 4 Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers [DOI]
  5. 5 The spectral norms of g-circulant matrices with classical Fibonacci and Lucas numbers entries [DOI]
  6. 6 Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices [DOI]
  7. 7 Determinants and Inverses of Skew Symmetric Generalized Foeplitz Matrices [DOI]

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