Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 102 potx

... 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...

Ngày tải lên: 01/07/2014, 09:20

... 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 ....

Ngày tải lên: 01/07/2014, 09:20

... 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...

Ngày tải lên: 01/07/2014, 09:20

... 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...

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... 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...

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... 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...

Ngày tải lên: 01/07/2014, 09:20

... 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...

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... 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...

Ngày tải lên: 01/07/2014, 09:20

... 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...

Ngày tải lên: 01/07/2014, 09:20

... 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...

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... 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...

Ngày tải lên: 01/07/2014, 09:20

... 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...

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... 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...

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... 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...

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... 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...

Ngày tải lên: 01/07/2014, 09:20