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compan | Examples See Also |
A
=
compan(u)
A = compan(u)
returns the corresponding companion matrix whose first row is -u(2:n)/u(1)
, where u
is a vector of polynomial coefficients. The eigenvalues of compan(u)
are the roots of the polynomial.
The polynomial has a companion matrix given by
u = [1 0 -7 6] A = compan(u) A = 0 7 -6 1 0 0 0 1 0The eigenvalues are the polynomial roots:
eig(compan(u)) ans = -3.0000 2.0000 1.0000This is also
roots(u)
.
eig
Eigenvalues and eigenvectors
poly
Polynomial with specified roots
polyval
Polynomial evaluation
roots
Polynomial roots