# norm_matrix_H_derivatives: Computation of the H-norm of the derivatives of a set of... In ardeeshany/FLAME: FLAME for high-dimensional Function-on-Scalar regression problems

## Description

It computes the H norm of the derivatives of a set of functions represented as their projection on a basis of the space H.

## Usage

 1 norm_matrix_H_derivatives(M, pairwise_derivatives) 

## Arguments

 M matrix. J \times N matrix containing in the column n the coefficients of the projection of a function y_n on the J-dimensional basis functions. pairwise_derivatives matrix. J \times J matrix containing the integral of the pairwise product of the basis functions. It can be computed with the compute_pairwise_integrals function.

## Value

vector of length N containing the H-norm of the derivatives of the functions

## Examples

 1 2 3 4 data(SobolevKernel) T_domain <- seq(0, 1, length = 50) pairwise_derivartives <- compute_pairwise_integrals(derivatives, T_domain) sum(norm_matrix_H_derivatives(t(Y_matrix), pairwise_derivartives)) 

ardeeshany/FLAME documentation built on Sept. 25, 2017, 9:55 a.m.