NAG Library Manual, Mark 30
Interfaces:  FL   CL   CPP   AD 

NAG FL Interface Introduction
Example description

 D04BAF Example Program Results
 
  Find the derivatives of the polygamma (psi) function
  using function values generated by S14AEF.
 
  Demonstrate the effect of successively reducing HBASE.
 
  Derivative (1) calculated using S14AEF :  4.0153E+02
  Derivative and error estimates for derivative (1)
          hbase       DER(1)     EREST(1)
     2.5000E-03   4.0204E+02      1.4E+02
     2.5000E-04   4.0153E+02      5.0E-11
     2.5000E-05   4.0153E+02      2.2E-10
     2.5000E-06   4.0153E+02      1.2E-09
 
  Derivative (2) calculated using S14AEF : -1.6002E+04
  Derivative and error estimates for derivative (2)
          hbase       DER(2)     EREST(2)
     2.5000E-03  -1.6022E+04      5.6E+03
     2.5000E-04  -1.6002E+04      1.3E-07
     2.5000E-05  -1.6002E+04      6.1E-06
     2.5000E-06  -1.6002E+04      9.6E-04
 
  Derivative (3) calculated using S14AEF :  9.6001E+05
  Derivative and error estimates for derivative (3)
          hbase       DER(3)     EREST(3)
     2.5000E-03   9.1465E+05     -7.4E+06
     2.5000E-04   9.6001E+05      2.4E-04
     2.5000E-05   9.6001E+05      4.2E-02
     2.5000E-06   9.6001E+05      6.0E+01