DEFINITION MODULE DBrentM; (* EXPORT QUALIFIED DBrent; *) FROM NRMath IMPORT RealFunction; PROCEDURE DBrent( ax, bx, cx: REAL; func, dfunc: RealFunction; tol: REAL; VAR xmin: REAL): REAL; (* Given a function func and its derivative function dfunc, and given a bracketing triplet of abscissas ax, bx, cx [such that bx is between ax and cx, and func(bx) is less than both func(ax) and func(cx)], this routine isolates the minimum to a fractional precision of about tol using a modification of Brent's method that uses derivatives. The abscissa of the minimum is returned as xmin, and the minimum function value is the returned function value. *) END DBrentM.