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Enabling quaternion derivatives: the generalized HR calculus

Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; however, in many applications, functions of interest are real-valued and hence not analytic, a typical case being the standard real mean square error objective function. The recent HR calculus is a step fo...

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Detalles Bibliográficos
Autores principales: Xu, Dongpo, Jahanchahi, Cyrus, Took, Clive C., Mandic, Danilo P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4555860/
https://www.ncbi.nlm.nih.gov/pubmed/26361555
http://dx.doi.org/10.1098/rsos.150255