This is a preview. Log in through your library . This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers ...

Let A → Ar be the map that takes a positive definite matrix to its rth power, and let DAr be the Fréchet derivative of this map. It is known that ∥DAr∥ = ∥rAr−1∥ if r ≤ 1 or if r ≥ 2, and also that ...