orthovalMj
j-th orthogonal evaluation for M matrices.
Syntax
F = orthovalMj(j, M, domain, basis)
Description
F = orthovalMj(j, M, domain, basis) returns the value of
a polynomial evaluated (orthogonally) at Pj(M).
Inputs
j = j-th polynomial (integer scalar).
M = input for eval (sparse matrix).
domain = domain [a b] of orthogonality (double vector).
basis = orthogonal polynomial basis (integer scalar or char).
1 or 'ChebyshevT' to Chebyshev of first kind,
2 or 'ChebyshevU' to Chebyshev of second kind,
3 or 'LegendreP' to Legendre,
4 or 'HermiteH' to Hermite,
5 or 'LaguerreL' to Laguerre and
6 or 'GegenbauerC' to Gegenbauer.
Output
F = Pj(M) (double matrix).
See also
orthovalv, orthovalvj, orthovalM and orthovald.
F = orthovalMj(j, M, domain, basis) returns the value of a polynomial evaluated (orthogonally) at Pj(M).
Inputs
j = j-th polynomial (integer scalar).
M = input for eval (sparse matrix).
domain = domain [a b] of orthogonality (double vector).
basis = orthogonal polynomial basis (integer scalar or char).
1 or 'ChebyshevT' to Chebyshev of first kind,
2 or 'ChebyshevU' to Chebyshev of second kind,
3 or 'LegendreP' to Legendre,
4 or 'HermiteH' to Hermite,
5 or 'LaguerreL' to Laguerre and
6 or 'GegenbauerC' to Gegenbauer.
Output
F = Pj(M) (double matrix).
See also
orthovalv, orthovalvj, orthovalM and orthovald.
F = Pj(M) (double matrix).