OJDMOpen Journal of Discrete Mathematics2161-7635Scientific Research Publishing10.4236/ojdm.2016.71001OJDM-72558Technical NotesPhysics&Mathematics A Note on a Natural Correspondence of a Determinant and Pfaffian GaryMiller1Department of Mathematics, Petroleum Institute, Abu Dhabi, United Arab Emirates* E-mail:0612201607011224, August 20163, December 2016 6, December 2016© Copyright 2014 by authors and Scientific Research Publishing Inc. 2014This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/

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.