Now showing items 1-4 of 4

    • The interesting spectral interlacing property for a certain tridiagonal matrix 

      da Fonseca, Carlos M.; Kılıç, Emrah; Pereira, Antonio (International Linear Algebra Society, 2020-08)
      In this paper, a new tridiagonal matrix, whose eigenvalues are the same as the Sylvester-Kac matrix of the same order, is provided. The interest of this matrix relies also in that the spectrum of a principal submatrix is ...
    • A matrix approach to some second-order difference equations with sign-alternating coefficients 

      Andelic, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah (Taylor and Francis Ltd., 2020-02)
      In this paper, we analyse and unify some recent results on the double sequence {yn,k}, for n, k ? 1, defined by the second-order difference equation (Formula presented.) with (Formula presented.) and (Formula presented.), ...
    • An observation on the determinant of a Sylvester-Kac type matrix 

      da Fonseca, Carlos M.; Kılıç, Emrah (Sciendo, 2020-03)
      Based on a less-known result, we prove a recent conjecture concerning the determinant of a certain Sylvester-Kac type matrix related to some Lie Algebras. The determinant of an extension of that matrix is presented.
    • An observation on the determinant of a Sylvester-Kac type matrix 

      da Fonseca, Carlos M.; Kılıç, Emrah (sciendo, 2020-04-09)
      Based on a less-known result, we prove a recent conjecture concern-ing the determinant of a certain Sylvester-Kac type matrix related tosome Lie Algebras. The determinant of an extension of that matrix ispresented.