Carvalho, SoniaFreitas, Pedro Jorge2015-08-252015-08-252014CARVALHO, Sónia Raquel Ferreira; FREITAS, Pedro Jorge – The norm of the K- Th derivative of the X-symmetric power of an operator. Electronic Journal of Linear Algebra. ISSN: 1081-3810. Vol. 27 (2014), pp. 302-3161081-3810http://hdl.handle.net/10400.21/5017In this paper, the exact value for the norm of directional derivatives, of all orders, for symmetric tensor powers of operators on finite dimensional vector spaces is presented. Using this result, an upper bound for the norm of all directional derivatives of immanants is obtained.engCompound MatrixDerivativeImmanantInduced Power of a MatrixNormsjournal article