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

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Resumo(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.

Descrição

Palavras-chave

Compound Matrix Derivative Immanant Induced Power of a Matrix Norms

Contexto Educativo

Citação

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

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Editora

International Linear Algebra Society

Licença CC