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The Faddeev-LeVerrier algorithm and the Pfaffian - MaRDI portal

The Faddeev-LeVerrier algorithm and the Pfaffian (Q820990)

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The Faddeev-LeVerrier algorithm and the Pfaffian
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    The Faddeev-LeVerrier algorithm and the Pfaffian (English)
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    29 September 2021
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    The Fadeev-LeVerrier algorithm for the computation of the characteristic polynomial is adapted for the computation of the Pfaffian of a skew-symmetric matrix. The performance of the given algorithm is compared with other known algorithms and it is also shown how it can be used to compute the Euler form of a Riemannian manifold using the SageMath software.
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    characteristic polynomial
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    determinant
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    Pfaffian
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    Gauss-Bonnet-Chern theorem
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