Matrices whose powers approximate the identity Original Research Article

In this work we characterize the matrices View the MathML sourceA with the following property: for each ε>0ε>0 there exists a k∈Nk∈N such that View the MathML source‖Ak−I‖<ε for a given matrix norm. This characterization is applied to the theory of unitary, Hermitian nonnegative, positive and stochastic matrices.