taylorrevert INDEX

TAYLORREVERT _ _ _ _ _ _ _ _ _ _ _ _ operator

taylorrevert allows reversion of a Taylor series of a function f, i.e., to compute the first terms of the expansion of the inverse of f from the expansion of f.

syntax:

taylorrevert(<expression>, <var>,<var>)

The first argument must evaluate to a Taylor kernel with the second argument being one of its expansion variables.

examples:


    taylor(u - u**2,u,0,5); 

       2      6
  U - U  + O(U ) 


    taylorrevert (ws,u,x); 

       2      3      4       5      6
  X + X  + 2*X  + 5*X  + 14*X  + O(X )