CrossSum | R Documentation |
Implements several operations of objects of class
‘ADCube’.
CrossSum(u, w)
CrossMult(u, w)
CrossDivide(u, w)
CrossSquare(u)
CrossExp(u)
CrossLog(u)
CrossPow(u, r)
CrossSqrt(u)
CrossRaisePow(u, w)
u |
an object of |
w |
an object of |
r |
a positive real number. |
Assume u
and w
contain the evaluations of functions f()
and g()
, together with evaluations of all their cross-derivatives, at points x
and y
, respectively.
CrossSum
returns the evaluation of f()+g()
, together with all evaluated cross-derivates.
CrossMult
returns the evaluation of f()g()
, together with all evaluated cross-derivates.
CrossDivide
returns the evaluation of f()/g()
, together with all evaluated cross-derivates.
CrossSquare
returns the evaluation of (f())^2
, together with all evaluated cross-derivates.
CrossExp
returns the evaluation of \exp(f())
, together with all evaluated cross-derivates.
CrossLog
returns the evaluation of \log(f())
, together with all evaluated cross-derivates.
CrossPow
returns the evaluation of (f())^r
, together with all evaluated cross-derivates.
CrossSqrt
returns the evaluation of \sqrt{f()}
, together with all evaluated cross-derivates.
CrossRaisePow
returns the evaluation of f()^{g()}
, together with all evaluated cross-derivates.
An object of class
‘ADCube’ is returned. See ‘Details’.
Berwin A. Turlach berwin.turlach@gmail.com
Griewank, A., Lehmann, L., Leovey, H. and Zilberman, M. (2014). Automatic evaluations of cross-derivatives, Mathematics of Computation 83(285): 251-274.
NewCube
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.