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arXiv · 1305.1143

The $k$-th derivatives of the immanant and the $χ$-symmetric power of an operator

Sónia Carvalho·Pedro J. Freitas
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Abstract

In recent papers, R. Bhatia, T. Jain and P. Grover obtained formulas for directional derivatives, of all orders, of the determinant, the permanent, the $m$-th compound map and the $m$-th induced power map. In this paper we generalize these results for immanants and for other symmetric powers of a matrix.

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Sónia Carvalho, Pedro J. Freitas. 2013-05-06. The $k$-th derivatives of the immanant and the $χ$-symmetric power of an operator. https://arxiv.org/abs/1305.1143

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