A familiar and natural decomposition of square matrices leads to the construction of a Pfaffian with the same value as the determinant of the square matrix.
Determinant PfaffianAcknowledgements
The author thanks the Petroleum Institute for continued financial support.
Cite this paper
Miller, G. (2017) A Note on a Natural Correspondence of a Determinant and Pfaffian. Open Journal of Discrete Mathematics, 7, 1-2. http://dx.doi.org/10.4236/ojdm.2017.71001
ReferencesIshikawa, M. and Wakayama, M. (2006) Applications of the Minor Summation Formula III: Plucker Relations, Lattice Paths and Pfaffians. Journal of Combinatorial Theory, Series A, 113, 113-155.