FDist2 {SMFilter}

Compute the squared Frobenius distance between two matrices.

Description

This function Compute the squared Frobenius distance between two matrices.

Usage

FDist2(mX, mY)

Arguments

mX

a p \times r matrix where p \geq r.

mY

another p \times r matrix where p \geq r.

Details

The Frobenius distance between two matrices is defined to be

d(X, Y) = \sqrt{ \mathrm{tr} \{ A' A \} }

where A = X - Y.

The Frobenius distance is a possible measure of the distance between two points on the Stiefel manifold.

Value

the Frobenius distance.

Author(s)

Yukai Yang, [e-mail]

Examples

FDist2(runif_sm(1,4,2)[1,,], runif_sm(1,4,2)[1,,])