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Trailing-Edge - PDP-10 Archives - decus_20tap2_198111 - decus/20-0026/qtfe.doc
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SUBROUTINE QTFE

PURPOSE
   TO COMPUTE THE VECTOR OF INTEGRAL VALUES FOR A GIVEN
   EQUIDISTANT TABLE OF FUNCTION VALUES.

USAGE
   CALL QTFE (H,Y,Z,NDIM)

DESCRIPTION OF PARAMETERS
   H	  - THE INCREMENT OF ARGUMENT VALUES.
   Y	  - THE INPUT VECTOR OF FUNCTION VALUES.
   Z	  - THE RESULTING VECTOR OF INTEGRAL VALUES. Z MAY BE
	    IDENTICAL WITH Y.
   NDIM   - THE DIMENSION OF VECTORS Y AND Z.

REMARKS
   NO ACTION IN CASE NDIM LESS THAN 1.

SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
   NONE

METHOD
   BEGINNING WITH Z(1)=0, EVALUATION OF VECTOR Z IS DONE BY
   MEANS OF TRAPEZOIDAL RULE (SECOND ORDER FORMULA).
   FOR REFERENCE, SEE
   F.B.HILDEBRAND, INTRODUCTION TO NUMERICAL ANALYSIS,
   MCGRAW-HILL, NEW YORK/TORONTO/LONDON, 1956, PP.75.