On Frobenius normwise condition numbers for Moore–Penrose inverse and linear least‐squares problems
Huaian Diao, Yimin Wei · Numerical Linear Algebra with Applications · 2007
Abstract Condition numbers play an important role in numerical analysis. Classical condition numbers are normwise: they measure the size of both input perturbations and output errors using norms. In this paper, we give explicit, computable expressions depending on the data, for the normwise condition numbers for the computation of the Moore–Penrose inverse as well as for the solutions of linear least‐squares problems with full‐column rank. Copyright © 2007 John Wiley & Sons, Ltd.