projection.ip: Projection of columns of a matrix.

In Epi: Statistical Analysis in Epidemiology

Projection of columns of a matrix.

Description

Projects the columns of the matrix M on the space spanned by the columns of the matrix X, with respect to the inner product defined by weight: <x|y>=sum(x*w*y).

Usage

projection.ip(X, M, orth = FALSE, weight = rep(1, nrow(X)))

Arguments

X	Matrix defining the space to project onto.
M	Matrix of columns to be projected. Must have the same number of rows as X.
orth	Should the projection be on the orthogonal complement to span(X)?
weight	Weights defining the inner product. Numerical vector of length nrow(X).

Value

A matrix of full rank with columns in span(X)

Author(s)

Bendix Carstensen, Steno Diabetes Center, http://bendixcarstensen.com, with help from Peter Dalgaard.

See Also

detrend

Epi documentation built on April 25, 2023, 9:09 a.m.