`scipy.interpolate._fitpack_repro:F`

source: /scipy/interpolate/_fitpack_repro.py :512

Signature

   class     F (    x    ,    y    ,    t    ,    k    ,    s    ,    w    =  None   ,  * ,     R    =  None   ,    Y    =  None     )

Members

__call__
__init__

Summary

The r.h.s. of f(p) = s.

Extended Summary

Given scalar p, we solve the system of equations in the LSQ sense:

where A is the matrix of b-splines and b is the discontinuity matrix (the jumps of the k-th derivatives of b-spline basis elements at knots).

Since we do that repeatedly while minimizing over p, we QR-factorize A only once and update the QR factorization only of the B rows of the augmented matrix A, B/p.

The system of equations is Eq. (15) Ref. ^[1], the strategy and implementation follows that of FITPACK, see specific links below.

Aliases

scipy.interpolate._fitpack_repro.F