A bound for condition numbers of matrices
Michael I. Gil’ · Electronic Journal of Linear Algebra · 2014
Let A be a diagonalizable matrix; so there is an invertible matrix T and a normal matrix Dˆ, such that T −1AT = Dˆ.A sharp bound for the constant κT = ∥T∥∥T −1∥ is suggested. Some applications of the obtained bound are also discussed.