The K-Th derivatives of the immanant and the X-symmetric power of an operator

Carvalho, SoniaFreitas, Pedro Jorge2015-08-252015-08-252014CARVALHO, Sónia Raquel Ferreira; FREITAS, Pedro Jorge – The K-Th derivatives of the immanant and the X-symmetric power of an operator. Electronic Journal of Linear Algebra. ISSN: 1081-3810. Vol. 27 (2014), pp. 284-3011081-3810http://hdl.handle.net/10400.21/5016In recent papers, formulas are obtained for directional derivatives, of all orders, of the determinant, the permanent, the m-th compound map and the m-th induced power map. This paper generalizes these results for immanants and for other symmetric powers of a matrix.engCompound MatrixDerivativeImmanantInduced Power of a MatrixThe K-Th derivatives of the immanant and the X-symmetric power of an operatorjournal article