# The Faddeev-LeVerrier algorithm and the Pfaffian

#### Autoren: Christian Bär (2021)

We adapt the Faddeev-LeVerrier algorithm for the computation of characteristic polynomials to the computation of the Pfaffian of a skew-symmetric matrix. This yields a very simple, easy to implement and parallelize algorithm of computational cost O(n4) where n is the size of the matrix. We compare its performance to that of other algorithms and show how it can be used to compute the Euler form of a Riemannian manifold.

Zeitschrift:
Linear Algebra and its Applications
Seiten:
39-55
Band:
630

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