A Note on a Natural Correspondence of a Determinant and Pfaffian

Gary  Miller

doi:10.4236/ojdm.2016.71001

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OJDM Vol.7 No.1 , January 2017

A Note on a Natural Correspondence of a Determinant and Pfaffian

Gary Miller

Abstract: 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.

Keywords: Determinant, Pfaffian

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. doi: 10.4236/ojdm.2016.71001.

References

[1] Ishikawa, 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.