compute_dGhalf: Compute Matrix Square Root Derivative

In lgspline: Lagrangian Multiplier Smoothing Splines for Smooth Function Estimation

Compute Matrix Square Root Derivative

Description

Calculates d\textbf{G}^{1/2}/d\lambda matrices for each partition using eigendecomposition. Follows similar approach to compute_G_eigen() but for matrix derivatives.

Usage

compute_dGhalf(
  dG_dlambda,
  nc,
  K,
  parallel,
  cl,
  chunk_size,
  num_chunks,
  rem_chunks
)

Arguments

dG_dlambda	List of nc \times nc d\textbf{G}/d\lambda matrices by partition
nc	Integer; number of columns per partition
K	Integer; number of interior knots (K)
parallel, cl, chunk_size, num_chunks, rem_chunks	Parallel computation parameters

Value

List of nc \times nc matrices containing d\textbf{G}_k^{1/2}/d\lambda for each partition k

lgspline documentation built on Nov. 18, 2025, 9:06 a.m.