dot-compute_Xy_V: Compute Partitioned GLS Cross-Products

.compute_Xy_VR Documentation

Compute Partitioned GLS Cross-Products

Description

Computes \mathbf{X}_k^{\top}\mathbf{V}^{-1}\mathbf{y} for each partition, accounting for cross-partition contributions from the correlation structure.

Usage

.compute_Xy_V(X, y, VhalfInv_perm, K, p_expansions, order_list)

Arguments

X

List of partition-specific design matrices.

y

List of response vectors by partition.

VhalfInv_perm

\mathbf{V}^{-1/2} permuted to partition ordering.

K, p_expansions

Integer dimensions.

order_list

Partition-to-data index mapping (unused here but retained for interface consistency).

Value

A list of K+1 column vectors, each p\_expansions \times 1.


lgspline documentation built on Aug. 5, 2026, 1:10 a.m.