quotientrule {dsfa} R Documentation

## Quotientrule

### Description

Quotientrule for derivs objects.

### Usage

quotientrule(f_list, tri, deriv_order)


### Arguments

 f_list list of derivs objects of length M, e.g. list(f_1(\cdot), f_2(\cdot),...,f_M(\cdot)) tri list; created by the function trind_generator(). deriv_order integer; maximum order of derivative. Available are 0,2 and 4.

### Details

Let f_m be a function defined in trind(), where m \in {1,...,M}. Define h((x_{n1},x_{n2},...,x_{nK})) = f_1(\cdot) / f_2(\cdot) ... / f_M(x_{n1},x_{n2},...,x_{nK})). In order to get the derivatives of h(\cdot) w.r.t all parameters x_{nk}, the quotientrule is applied. For more details see trind() and trind_generator().The values of the derivs objects must be positive. Numerically not precise, but included for reasons of completeness.

### Value

Returns an object of class derivs for the function h(\cdot).

Other derivs: chainrule(), derivs_transform(), differencerule(), ind2joint(), list2derivs(), productrule(), sumrule(), trind_generator(), trind()
A<-matrix(c(1:9)/10, ncol=1)