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

Carvalho,  Sonia; Freitas, Pedro J.

http://hdl.handle.net/10400.21/8152

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Authors

Carvalho, Sonia

Freitas, Pedro J.

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.

Keywords

Immanant Derivative Compound matrix Induced power of a matrix

URI

http://hdl.handle.net/10400.21/8152

Citation

CARVALHO, 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.