... originally published, in different form, in Computers
in Physics magazine, Copyright
c
American Institute of Physics, 1988–1992.
First Edition originally published 1988; Second Edition originally ... equations (Chapter 2), interpolation and extrapolation (Chaper 3), integration
(Chaper 4), nonlinear root-finding (Chapter 9), eigensystems (Chapter 11), and
ordinary differential equation...
... a single-screen license and
password immediately, on-line, from the On-Line Store, with fees ranging from
$50 (PC, Macintosh, educational institutions’ UNIX) to $140 (general UNIX).
Downloading ... are available in IBM-compatible format for machines
running Windows 3.1, 95, or NT. CDROM versions in ISO-9660 format for PC,
Macintosh,and UNIX systems are also available; these include both ....
... method
10.5 linmin minimum of a function along a ray in N-dimensions
10.5 f1dim function used by linmin
10.6 frprmn minimize in N-dimensions by conjugate gradient
10.6 dlinmin minimum of a function ... qsimp integrate using Simpson’s rule
4.3 qromb integrate using Romberg adaptive method
4.4 midpnt extended midpoint rule
4.4 qromo integrate using open Romberg adaptive method
4.4 midinf in...
... linbcg more general
that is dependent on First Edition routines, we do not recommend blindly replacing
them by the corresponding routines in this book. We do recommend that any new
programming ... of Numerical Recipes in Pascal
and Numerical Recipes Routines and Examples in BASIC are also available; while
not containing the additional material of the Second Edition versions in C a...
... dates to be searched.
#define IYEND 2000
int main(void) /* Program badluk */
{
void flmoon(int n, int nph, long *jd, float *frac);
long julday(int mm, int id, int iyyy);
int ic,icon,idwk,im,iyyy,n;
float ... that task, giving incidentally
all other Fridays the 13th as a by-product.
#include <stdio.h>
#include <math.h>
#define ZON -5.0 Time zone −5 is Eastern Standard Time.
#defi...
... producing an integer result, throwing away any integer remainder.
In floating-pointrepresentation, a number is represented internally by a sign bit
s (interpreted as plus or minus), an exact integer ... the function prototype of all Numerical Recipes routines that are called by
other Numerical Recipes routines internally to the calling routine. (That also makes
our routines much more r...
... be
evaluated by summing a finite number of leading terms in its in nite series, rather
than all in nity terms. In cases like this, there is an adjustable parameter, e.g., the
number of points or of terms, ... preferentially
in one direction. In this case the total will be of order N
m
.
(ii) Some especially unfavorable occurrences can vastly increase the roundoff
error of single o...
... function at an intermediate point x and obtains a new, smaller
bracketing interval, either (a, x) or (x, b). The process continues untilthe bracketing
interval is acceptably small. It is optimal ... the so-called “simplex algorithm”
for linear programming problems.
394
10.1 Golden Section Search in One Dimension
397
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTIN...
... function at an intermediate point x and obtains a new, smaller
bracketing interval, either (a, x) or (x, b). The process continues until the bracketing
interval is acceptably small. It is optimal ... than) the square root of your machine’s floating-point precision, since
smaller values will gain you nothing.
It remains to decide on a strategy for choosing the new point x,given(a, b, c).
Suppos...
... your machine’s floating-point precision.
#include <math.h>
#include "nrutil.h"
#define ITMAX 100
#define CGOLD 0.3819660
#define ZEPS 1.0e-10
Here
ITMAX is the maximum allowed number ... points are collinear,
in which case the denominator is zero (minimum of the parabola is in nitely far
10.3 One-Dimensional Search with First Derivatives
405
Sample page from NUMERICAL RECIP...