id: 02371120
dt: j
an: 2007c.00384
au: Huang, Huang-Nan; Marcantognini, Stefania; Young, Nicholas
ti: Chain rules for higher derivatives.
so: Math. Intell. 28, No. 2, 61-69 (2006).
py: 2006
pu: Springer US, New York, NY
la: EN
cc: I45
ut: chain rule; directional derivatives
ci:
li: doi:10.1007/BF02987158
ab: From the introduction: We define a notion of higher-order directional
derivative of a smooth function and use it to establish three simple
formulae for the n-th derivative of the composition of two functions.
These three "higher order chain rules" are alternatives to the
classical Faà di Bruno formula. They are less explicit than Faà di
Brunoâ€™s formula but are much simpler and avoid Diophantine or
combinatorial complications.
rv: