The norm of the K- Th derivative of the X-symmetric power of an operator

Carvalho,  Sonia; Freitas, Pedro Jorge

http://hdl.handle.net/10400.21/5017

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Authors

Carvalho, Sonia

Freitas, Pedro Jorge

Abstract(s)

In this paper, the exact value for the norm of directional derivatives, of all orders, for symmetric tensor powers of operators on finite dimensional vector spaces is presented. Using this result, an upper bound for the norm of all directional derivatives of immanants is obtained.

Keywords

Compound Matrix Derivative Immanant Induced Power of a Matrix Norms

URI

http://hdl.handle.net/10400.21/5017

Citation

CARVALHO, Sónia Raquel Ferreira; FREITAS, Pedro Jorge – The norm of the K- Th derivative of the X-symmetric power of an operator. Electronic Journal of Linear Algebra. ISSN: 1081-3810. Vol. 27 (2014), pp. 302-316