On the Pfaffians and determinants of some skew-centrosymmetric matrices
Journal of integer sequences, Tome 20 (2017) no. 4.

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Summary: 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 $n$. Furthermore, the formulas have no divisions at all, i.e., they fall into the class of breakdown-free algorithms.
Classification : 15A15, 15A23
Keywords: Pfaffian, determinant, skew-centrosymmetric matrix
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     title = {On the {Pfaffians} and determinants of some skew-centrosymmetric matrices},
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Yılmaz, Fatih; Sogabe, Tomohiro; Kırklar, Emrullah. On the Pfaffians and determinants of some skew-centrosymmetric matrices. Journal of integer sequences, Tome 20 (2017) no. 4. http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a2/