On The Pfaflians and Determinants of Some Skew-Centrosymmetric Matrices

Yilmaz F., Sogabe T., Kirklar E.

JOURNAL OF INTEGER SEQUENCES, cilt.20, sa.4, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 4
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF INTEGER SEQUENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Gazi Üniversitesi Adresli: Evet

Özet

This paper shows that the Pfaffians and determinants of some skew centrosymmetric matrices can be computed by a paired two-term recurrence relation, or a general number sequence of second order. As a result, the complexities of the formulas are of order It. Furthermore, the formulas have no divisions at all, i.e., they fall into the class of breakdown-free algorithms.