project(M, N)
calculates the projection of M
onto N
,
i.e., \(N (N^t N)^{-1} N^t M\).
orth(M, N)
orthogonalises M
with respect to N
,
i.e., it calculates the projection of M
onto the orthogonal
space of N
: \(M - N (N^t N)^{-1} N^t M\).
Corth(M, N)
calculates the coefficient matrix needed to
orthogonalise future matrices, that is,
\((N^t N)^{-1} N^t M\). Future
matrices m
and n
can be orthogonalised with
m - n %*% Corth(M, N)
.