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```SUBROUTINE DSE15

PURPOSE
TO COMPUTE A VECTOR OF SMOOTHED FUNCTION VALUES GIVEN A
VECTOR OF FUNCTION VALUES WHOSE ENTRIES CORRESPOND TO
EQUIDISTANTLY SPACED ARGUMENT VALUES.

USAGE
CALL DSE15(Y,Z,NDIM,IER)

DESCRIPTION OF PARAMETERS
Y	 -  GIVEN VECTOR OF DOUBLE PRECISION FUNCTION VALUES
(DIMENSION NDIM)
Z	 -  RESULTING VECTOR OF DOUBLE PRECISION SMOOTHED
FUNCTION VALUES (DIMENSION NDIM)
NDIM  -  DIMENSION OF VECTORS Y AND Z
IER	 -  RESULTING ERROR PARAMETER
IER = -1  - NDIM IS LESS THAN 5
IER =  0  - NO ERROR

REMARKS
(1)	IF IER=-1 THERE HAS BEEN NO COMPUTATION.
(2)	 Z CAN HAVE THE SAME STORAGE ALLOCATION AS Y.  IF Y IS
DISTINCT FROM Z, THEN IT IS NOT DESTROYED.

SUBROUTINE AND FUNCTION SUBPROGRAMS REQUIRED
NONE

METHOD
IF X IS THE (SUPPRESSED) VECTOR OF ARGUMENT VALUES, THEN
EXCEPT AT THE POINTS X(1),X(2),X(NDIM-1) AND X(NDIM), EACH
SMOOTHED VALUE Z(I) IS OBTAINED BY EVALUATING AT X(I) THE
LEAST-SQUARES POLYNOMIAL OF DEGREE 1 RELEVANT TO THE 5
SUCCESSIVE POINTS (X(I+K),Y(I+K)) K = -2,-1,...,2.  (SEE
HILDEBRAND, F.B., INTRODUCTION TO NUMERICAL ANALYSIS,
MC GRAW-HILL, NEW YORK/TORONTO/LONDON, 1956, PP. 295-302.)
```