  We study the well-known methods of alternating and simultaneous projections
when applied to two nonorthogonal linear subspaces of a real Euclidean space.
Assuming that both of the methods have a common starting point chosen from
either one of the subspaces, we show that the method of alternating projections
converges significantly faster than the method of simultaneous projections. On
the other hand, we provide examples of subspaces and starting points, where the
method of simultaneous projections outperforms the method of alternating
projections.
