EDU> diary dil8sess.txt
EDU> help dilate

  dilate.m
  Script to bracket a minimum for a scalar function of one real variable.
   fname (in workspace) - string for function name
   aa (returned) - left end of bracketing interval
   bb (returned) - interior point of bracketing interval
   cc (returned) - right end of bracketing interval

EDU> fname = 'cos'

fname =

cos

EDU> dilate
 
dilate:  Table of intermediate results follows:
 
   xlo        ylo        xhi        yhi        xnew       ynew
 1.00e+000  5.40e-001  0.00e+000  1.00e+000  2.62e+000 -8.66e-001 
 2.62e+000 -8.66e-001  0.00e+000  1.00e+000  6.85e+000  8.41e-001 
 
dilate:  Finished; returning values aa=0, bb=2.618, cc=6.8541.
 
EDU> fname = '-sin';
EDU> dilate
 
dilate:  Table of intermediate results follows:
 
   xlo        ylo        xhi        yhi        xnew       ynew
 1.00e+000 -8.41e-001  0.00e+000  0.00e+000  2.62e+000 -5.00e-001 
 
dilate:  Finished; returning values aa=0, bb=1, cc=2.618.
 
EDU> fname = 'exp';
EDU> dilate
 
dilate:  Table of intermediate results follows:
 
   xlo        ylo        xhi        yhi        xnew       ynew
 0.00e+000  1.00e+000  1.00e+000  2.72e+000 -1.62e+000  1.98e-001 
-1.62e+000  1.98e-001  1.00e+000  2.72e+000 -5.85e+000  2.87e-003 
-5.85e+000  2.87e-003  1.00e+000  2.72e+000 -1.69e+001  4.38e-008 
-1.69e+001  4.38e-008  1.00e+000  2.72e+000 -4.60e+001  1.08e-020 
-4.60e+001  1.08e-020  1.00e+000  2.72e+000 -1.22e+002  1.05e-053 
-1.22e+002  1.05e-053  1.00e+000  2.72e+000 -3.21e+002  3.92e-140 
-3.21e+002  3.92e-140  1.00e+000  2.72e+000 -8.42e+002  0.00e+000 
-8.42e+002  0.00e+000  1.00e+000  2.72e+000 -2.21e+003  0.00e+000 
-2.21e+003  0.00e+000  1.00e+000  2.72e+000 -5.78e+003  0.00e+000 
-5.78e+003  0.00e+000  1.00e+000  2.72e+000 -1.51e+004  0.00e+000 
-1.51e+004  0.00e+000  1.00e+000  2.72e+000 -3.96e+004  0.00e+000 
 
*** dilate:  Function exp appears to be monotonic on the interval
*** [-39602,1]:  try rescaling the independent variable.
 
dilate:  Finished; returning values aa=-39602, bb=-15125.9999, cc=1.
 
EDU> help dil8

  [a,b,c]=dil8(fname)
  Function to bracket a minimum for a scalar function of one real variable.
  Inputs:
   fname = string containing the name of a function m-file
  Returns:
   a = left end of bracketing interval
   b = point interior to bracketing interval with low function value
   c = right end of bracketing interval

EDU> [a,b,c] = dil8('exp')
*** dil8:  Function exp appears to be monotonic on the interval
*** [-39602,1]:  try rescaling the independent variable.

a =

 -3.9602e+004


b =

 -1.5126e+004


c =

     1

EDU> [a,b,c] = dil8('cos');
EDU> prtmtx([a,b,c]);
 0.00e+000  2.62e+000  6.85e+000 
EDU> diary off