Ordinary Eigenvector

Some articles on eigenvector, ordinary eigenvectors:

Eigenvalue Algorithm - Eigenvalues and Eigenvectors
... numbers, an eigenvalue λ and its associated generalized eigenvector v are a pair obeying the relation where v is a nonzero n × 1 column vector, I is the n × n identity matrix, k is a positive integer ... When k = 1, the vector is called simply an eigenvector, and the pair is called an eigenpair ... Any eigenvalue λ of A has ordinary eigenvectors associated to it, for if k is the smallest integer such that (A - λI)k v = 0 for a generalized eigenvector v, then (A - λI)k-1 v ...

Famous quotes containing the word ordinary:

    The ordinary man is an anarchist. He wants to do as he likes. He may want his neighbour to be governed, but he himself doesn’t want to be governed. He is mortally afraid of government officials and policemen.
    George Bernard Shaw (1856–1950)