The k-th derivatives of the immanent and the chisymmetric power of an operator

Carvalho, SoniaFreitas, Pedro J.2018-02-282018-02-282014-04CARVALHO, Sónia; FREITAS, Pedro J. – The k-th derivatives of the immanent and the chisymmetric power of an operator. Electronic Journal of Linear Algebra. ISSN 1081-3810. Vol. 27, (2014), pp. 284-301.1081-3810http://hdl.handle.net/10400.21/8152In 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.engImmanantDerivativeCompound matrixInduced power of a matrixThe k-th derivatives of the immanent and the chisymmetric power of an operatorjournal articlehttps://doi.org/10.13001/1081-3810.1619