Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 95 ppsx
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 161 pot
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 162 ppsx
... 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 ....
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 163 potx
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 164 pot
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 165 potx
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 166 ppsx
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 167 pdf
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 168 pot
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 169 potx
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 170 docx
... 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...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 171 doc
... geometrical figure consisting, in N dimensions, of N +1
points (or vertices) and all their interconnecting line segments, polygonal faces, etc.
In two dimensions, a simplex is a triangle. In three dimensions ... Numerical Recipes Software.
Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machine-
read...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 172 docx
... N +1 points, defining an initial simplex. If you think of one of these
points (it matters not which) as being your initial starting point P
0
, then you can
take the other N points to be
P
i
= ... minimization
routine. Without bracketing, and with more than one independent variable, we
no longer have the option of requiring a certain tolerance for a single independent
variable. We typically ca...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 173 ppsx
... along the line going through the point p in the direction xi. linmin calls our
familiar one-dimensional routines mnbrak (§10.1) and brent (§10.3) and instructs
them to minimize f1dim. linmin communicates ... have space to include such routines in thisbook. Our linmin,which
works just fine, is instead a kind of bookkeeping swindle. It constructs an “artificial”
function of one variable calle...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 174 docx
... Derivatives
Kindly reread the last part of §10.5. We here want to do the same thing, but
using derivative information in performing the line minimization.
The modified version of linmin, called dlinmin, ... (which, incidentally, goes back
to Cauchy), is similar to the problem that was shown in Figure 10.5.1. The method
will perform many small steps ingoing down a long,narrow valley, even...
Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 175 pps
... iterations.
#define EPS 3.0e-8 Machine precision.
#define TOLX (4*EPS) Convergence criterion on x values.
#define STPMX 100.0 Scaled maximum step length allowed in
line searches.
#define FREEALL free_vector(xi,1,n);free_vector(pnew,1,n); ... corrected edition (Washington: Mathe-
matical Association of America), pp. 467–468.
10.8 Linear Programming and the Simplex
Method
The subject of linea...