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C++ API

: z = polyeig (C0, C1, …, Cl)

: [v, z] = polyeig (C0, C1, …, Cl)

Solve the polynomial eigenvalue problem of degree l.

Given an n*n matrix polynomial

C(s) = C0 + C1 s + … + Cl s^l

polyeig solves the eigenvalue problem

(C0 + C1 + … + Cl)v = 0.

Note that the eigenvalues z are the zeros of the matrix polynomial. z is a row vector with n*l elements. v is a matrix (n x n*l) with columns that correspond to the eigenvectors.

See also: eig, eigs, compan.

Package: octave