Relative Perturbation Bounds for the Subunitary Polar Factor Under Unitarily Invariant Norms
Wen Li · Advances in Mathematics · 2006
Let A be an m × n complex matrix. A decomposition A = QH is said to be a generalized polar decomposition of A if Q is an m × n subunitary matrix and H is an n × n Hermitian positive semidefinite matrix. In this paper, some relative perturbation bounds of the subunitary polar factor under unitarily invariant norms are presented, which are tighter in some sense, compared with the absolute perturbation bounds obtained by Li C. R. and so on.