Source: wikibot/faddeev-leverrier-algorithm

= Faddeev–LeVerrier algorithm
{wiki=Faddeev–LeVerrier_algorithm}

The Faddeev–LeVerrier algorithm is a mathematical procedure used to compute the characteristic polynomial of a square matrix and, from that, to derive important properties such as the eigenvalues and eigenvectors of the matrix. This algorithm is particularly useful in linear algebra and numerical analysis. \#\#\# Key Steps of the Algorithm: 1. **Initialization**: Start with a square matrix \\( A \\) of size \\( n \\times n \\) and an identity matrix of the same size.