ON DETERMINANTS AND PERMANENTS OF k-TRIDIAGONAL TOEPLITZ MATRICES

Asci M., TAŞCI D., El-Mikkawy M.

UTILITAS MATHEMATICA, cilt.89, ss.97-106, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 89
  • Basım Tarihi: 2012
  • Dergi Adı: UTILITAS MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.97-106
  • Anahtar Kelimeler: k-Tridiagonal matrices, LU factorization, Determinants and Permanents, GENERALIZED FIBONACCI, FAST ALGORITHM, NUMBERS
  • Gazi Üniversitesi Adresli: Evet

Özet

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).