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Autores
Orientador(es)
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. This work is inspired in results by R. Bhatia, J. Dias da Silva, P. Grover, and T. Jain.
Descrição
Palavras-chave
Norms Derivatives Compound matrix Induced power of a matrix, Immanant
Contexto Educativo
Citação
CARVALHO, Sónia; FREITAS, Pedro J. – The norm of the k-the derivative of the Chisymmetric power of an operator. Electronic Journal of Linear Algebra. ISSN 1081-3810. Vol. 27, (2014), pp. 302-316.
Editora
International Linear Algebra Society