Geodesic
On the Pfaffians and determinants of some skew-centrosymmetric matrices
Journal of integer sequences, Tome 20 (2017) no. 4
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 
@article{JIS_2017__20_4_a2,
     author = {Y{\i}lmaz,  Fatih and Sogabe,  Tomohiro and K{\i}rklar,  Emrullah},
     title = {On the {Pfaffians} and determinants of some skew-centrosymmetric matrices},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {4},
     zbl = {1355.15008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a2/}
}
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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/