Some new results will be presented on the perturbation analysis for the orthogonal projection of a point onto a linear manifold. The obtained perturbation upper bound is with respect to the distance from the perturbed solution to the unperturbed manifold.
SIAM Journal on Matrix Analysis and Applications
(1998). Perturbation Results for Projecting a Point Onto a Linear Manifold. SIAM Journal on Matrix Analysis and Applications, 19(3), 696-700.
Available at: http://aquila.usm.edu/fac_pubs/4927