         NEWTON'S METHOD FOR INTEGRAL FUNCTIONS

Michael Lloyd (http://www.hsu.edu/faculty/lloydm/ti/prgmtabl.html)
Henderson State University

HISTORY
1.0 24 April 1994
1.1 August 2015 - updated file to .8xp

DESCRIPTION
This is used as a subroutine for most of the critical value stat
progams.

VARIABLES USED
C = area under pdf
I = old integral
J = new integral
L = lower limit of integral
P = x skip
Q = tolerance
T = root
U = upper limit of integration
X = variable of integration
Y0 = probability density function

PROGRAM LISTING
0\->\J:0\->\T
Repeat J\>=\C
T+P\->\T:J\->\I
J+fnInt(Y\0\,X,T-P,T)\->\J
End
T\->\U:T-(J-C)/(J-I)\->\T
Repeat abs(T-U)<Q
U\->\L:T\->\U
J+fnInt(Y\0\,X,L,U)\->\J
U-(J-C)/Y\0\(U)\->\T
End


