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Advisor(s)
Abstract(s)
In 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.
Description
Keywords
Compound Matrix Derivative Immanant Induced Power of a Matrix
Citation
CARVALHO, 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. 284-301