solve_amat_beta

sofia_redux.toolkit.resampling.solve_amat_beta(phi, data, weights)

Convenience function returning matrices suitable for linear algebra.

Given independent variables $\mathrm{\Phi }$, data $y$, and weights $W$, returns matrices $A$ and $B$ where:

$$\begin{array}{r}\begin{array}{c}A=\mathrm{\Phi }W{\mathrm{\Phi }}^T\\ B=\mathrm{\Phi }Wy\end{array}\end{array}$$

Parameters:

phinumpy.ndarray (n_terms, n_samples)

Polynomial terms of independent variables for each sample in the fit.

datanumpy.ndarray (n_samples,)

Sample data values.

weightsnumpy.ndarray (n_samples,)

Squared weights.

Returns:

A, Bnumpy.ndarray (n_terms, n_terms), numpy.ndarray (n_terms,)

The $A$ and $B$ terms described above.