DPOLVL(3)

SYNOPSIS
SUBROUTINE DPOLVL (NDER, XX, YFIT, YP, N, X, C, WORK, IERR)

NAME
dpolvl - Calculate the value of a polynomial and its first NDER derivatives where the polynomial was produced by a previous call to DPLINT.

LIBRARY
SLATEC

CATEGORY
E3

TYPE
DOUBLE PRECISION (POLYVL-S, DPOLVL-D)

KEYWORDS
POLYNOMIAL EVALUATION

AUTHOR
Huddleston, R. E., (SNLL)

DESCRIPTION
Abstract - Subroutine DPOLVL calculates the value of the polynomial and its first NDER derivatives where the polynomial was produced by a previous call to DPLINT. The variable N and the arrays X and C must not be altered between the call to DPLINT and the call to DPOLVL. ****** Dimensioning Information ******* YP must be dimensioned by at least NDER X must be dimensioned by at least N (see the abstract ) C must be dimensioned by at least N (see the abstract ) WORK must be dimensioned by at least 2*N if NDER is .GT. 0. *** Note *** If NDER=0, neither YP nor WORK need to be dimensioned variables. If NDER=1, YP does not need to be a dimensioned variable. ***** Input parameters *** All TYPE REAL variables are DOUBLE PRECISION *** NDER - the number of derivatives to be evaluated XX - the argument at which the polynomial and its derivatives are to be evaluated. N - ***** * N, X, and C must not be altered between the call X - * to DPLINT and the call to DPOLVL. C - ***** ***** Output Parameters *** All TYPE REAL variables are DOUBLE PRECISION *** YFIT - the value of the polynomial at XX YP - the derivatives of the polynomial at XX. The derivative of order J at XX is stored in YP(J) , J = 1,...,NDER. IERR - Output error flag with the following possible values. = 1 indicates normal execution ***** Storage Parameters WORK = this is an array to provide internal working storage for DPOLVL. It must be dimensioned by at least 2*N if NDER is variable.

REFERENCES
L. F. Shampine, S. M. Davenport and R. E. Huddleston, Curve fitting by polynomials in one variable, Report SLA-74-0270, Sandia Laboratories, June 1974.

ROUTINES CALLED
(NONE)

REVISION HISTORY (YYMMDD)
740601 DATE WRITTEN
890531 Changed all specific intrinsics to generic. (WRB)
891006 Cosmetic changes to prologue. (WRB)
891006 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)
920501 Reformatted the REFERENCES section. (WRB)