legcompanion(c)
The basis polynomials are scaled so that the companion matrix is symmetric when c
is an Legendre basis polynomial. This provides better eigenvalue estimates than the unscaled case and for basis polynomials the eigenvalues are guaranteed to be real if numpy.linalg.eigvalsh
is used to obtain them.
1-D array of Legendre series coefficients ordered from low to high degree.
Scaled companion matrix of dimensions (deg, deg).
Return the scaled companion matrix of c.
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