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 ...
Mathematics of Computation, Vol. 71, No. 240 (Oct., 2002), pp. 1421-1430 (10 pages) Finite element derivative superconvergent points for harmonic functions under local rectangular mesh are ...