section m of routines in roots.i

Home Manual Packages Global Index Keywords Quick Reference | # functions in roots.i - m
mnbrent |
                 fmin= mnbrent(f, x0, x1, x2)
              or fmin= mnbrent(f, x0, x1, x2, xmin)
              or fmin= mnbrent(f, x0, x1, x2, xmin, xerr)

         returns the minimum of the function F (of a single argument x),
         given three points X0, X1, and X2 such that F(X1) is less than
         either F(X0) or F(X2), and X1 is between X0 and X2.  If the
         XMIN argument is provided, it is set to the x value which
         produced FMIN.  If XERR is supplied, the search stops when
         a fractional error of XERR in x is reached; note that XERR
         smaller than the square root of the machine precision (or
         omitted) will cause convergence to machine precision in FMIN.
         The algorithm is Brent's method - a combination of inverse
         parabolic interpolation and golden section search - as adapted
         from Numerical Recipes Ch. 10 (Press, et. al.).

    interpreted function, defined at i/roots.i   line 233
SEE ALSO: | mxbrent, nraphson, f_inverse
mxbrent |
                 fmax= mxbrent(f, x0, x1, x2)
              or fmax= mxbrent(f, x0, x1, x2, xmax)
              or fmax= mxbrent(f, x0, x1, x2, xmax, xerr)

         returns the maximum of the function F (of a single argument x),
         given three points X0, X1, and X2 such that F(X1) is greater than
         either F(X0) or F(X2), and X1 is between X0 and X2.  If the
         XMAX argument is provided, it is set to the x value which
         produced FMAX.  If XERR is supplied, the search stops when
         a fractional error of XERR in x is reached; note that XERR
         smaller than the square root of the machine precision (or
         omitted) will cause convergence to machine precision in FMAX.
         The algorithm is Brent's method - a combination of inverse
         parabolic interpolation and golden section search - as adapted
         from Numerical Recipes Ch. 10 (Press, et. al.).

    interpreted function, defined at i/roots.i   line 208
SEE ALSO: | mxbrent, nraphson, f_inverse