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# Module polynomial

source code

Jacobi polynomials and Vandermonde matrices.

License: This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see U{http://www.gnu.org/licenses/}.

 Classes
LegendreFunction
DiffLegendreFunction
 Functions

 generic_vandermonde(points, functions) Return a Vandermonde matrix. source code

 generic_multi_vandermonde(points, functions) Return multiple Vandermonde matrices. source code

 legendre_vandermonde(points, N) source code

 monomial_vdm(levels) source code

 make_interpolation_coefficients(levels, tap) source code
 Function Details

### generic_vandermonde(points, functions)

source code

Return a Vandermonde matrix.

The Vandermonde Matrix is given by V_{i,j} := f_j(x_i) where `functions` is the list of f_j and points is the list of x_i.

### generic_multi_vandermonde(points, functions)

source code

Return multiple Vandermonde matrices.

The Vandermonde Matrix is given by V_{i,j} := f_j(x_i) where `functions` is the list of f_j and points is the list of x_i.

The functions f_j are multi-valued (i.e. return iterables), and one matrix is returned for each return value.

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