Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE BOUNDS FOR THE SPECTRAL NORMS OF GEOMETRIC AND R-CIRCULANT MATRICES WITH BI-PERIODIC JACOBSTHAL NUMBERS

  • UYGUN, SUKRAN (Department of Mathematics, Faculty of Arts and Science, Gaziantep University) ;
  • AYTAR, HULYA (Department of Mathematics, Faculty of Arts and Science, Gaziantep University)
  • Received : 2019.03.11
  • Accepted : 2019.11.07
  • Published : 2020.01.30
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Abstract

The study is about the bounds of the spectral norms of r-circulant and geometric circulant matrices with the sequences called biperiodic Jacobsthal numbers. Then we give bounds for the spectral norms of Kronecker and Hadamard products of these r-circulant matrices and geometric circulant matrices. The eigenvalues and determinant of r-circulant matrices with the bi-periodic Jacobsthal numbers are obtained.

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References

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