ON DETERMINANTS AND PERMANENTS OF k-TRIDIAGONAL TOEPLITZ MATRICES


Asci M., TAŞCI D., El-Mikkawy M.

UTILITAS MATHEMATICA, vol.89, pp.97-106, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 89
  • Publication Date: 2012
  • Journal Name: UTILITAS MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.97-106
  • Keywords: k-Tridiagonal matrices, LU factorization, Determinants and Permanents, GENERALIZED FIBONACCI, FAST ALGORITHM, NUMBERS
  • Gazi University Affiliated: Yes

Abstract

In this paper we introduce k-tridiagonal Toeplitz matrices and give algorithms for determinants and permanents of these matrices. We give illustrative examples for these algorithms. In the last section we give examples of matrices whose determinants are powers of generalized Fibonacci numbers. These algorithms can be implemented in all Computer Algebra Systems (CAS).