New Perturbation Bounds for Unitary Polar Factors
Wen Li, Weiwei Sun · SIAM Journal on Matrix Analysis and Applications · 2003
In this paper, we present some new perturbation bounds for polar decompositions in the Frobenius norm. We prove that under any active condition of the perturbation being small, our bounds always improve previous bounds. Some perturbation bounds in the spectral norm and general unitarily invariant norms are also given.