ConjComp: Calculate a basis for the conjugate complement of a conjugate...

In gmonette/p3d: Plot 3d Data and Fitted Surfaces

Calculate a basis for the conjugate complement of a conjugate projection

Description

ConjComp returns a basis for the conjugate complement of the conjugate projection of X into span(Z) with respect to inner product with matrix ip.

Usage

ConjComp(X, Z = diag(nrow(X)), ip = diag(nrow(X)), tol = 1e-07)

Arguments

X	A matrix
Z	A matrix giving the span for the projection, assumed to be of full column rank
ip	inner product matrix
tol	tolerance

Details

none yet

Value

A matrix of the same size as X

Author(s)

Georges Monette

See Also

none yet

Examples

X <- matrix(1:15, ncol=3)
X
R <- ConjComp(X)
round(t(R) %*% X)
round(t(X) %*% R)

gmonette/p3d documentation built on Nov. 16, 2023, 11:31 p.m.