Tài liệu Minimization or Maximization of Functions part 1 pptx

... or CDROMsvisit website http://www.nr.com or call 1- 800-872-7423 (North America only), or send email to trade@cup.cam.ac.uk (outside North America).Chapter 10 . Minimization or Maximization of ... aone-dimensional minimization sub-algorithm such as Brent’s method (seeabove). Storage is of order N2.There are two major families of algorithms for multidimensional minimization with calculation of ﬁrst ... form of golden section search, as described in 10 .1. • Forone-dimensional minimizationwithcalculation of the derivative, 10 .3supplies a variant of Brent’s method which makes limited use of...

Tài liệu Minimization or Maximization of Functions part 6 pptx

... 412 Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge ... point P0. 416 Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge ... del,fp,fptt,t,*pt,*ptt,*xit;pt=vector (1, n);ptt=vector (1, n);xit=vector (1, n);*fret=(*func)(p);for (j =1; j<=n;j++) pt[j]=p[j]; Save the initial point.for (*iter =1; ;++(*iter)) {fp=(*fret);ibig=0; 418 Chapter 10 . Minimization...

Tài liệu Minimization or Maximization of Functions part 7 pptx

... 420Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge ... quadraticform, as above in equation (10 .5 .1) ,f(x) ≈ c − b · x + 1 2x · A · x (10 .6 .1) Then the number of unknown parameters in f is equal to the number of freeparameters in A and b,whichis 1 2N(N +1) ,whichweseetobeoforderN2.Changing ... quadratic422Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge...

Tài liệu Minimization or Maximization of Functions part 10 pptx

... ALEN(x[i1],x[i2],y[i1],y[i2]);}i1=iorder[ncity]; Close the loop by tying path ends together.i2=iorder [1] ;path += ALEN(x[i1],x[i2],y[i1],y[i2]);idum = -1; iseed =11 1;for (j =1; j< =10 0;j++) { Try up to 10 0 temperature ... books,diskettes, or CDROMsvisit website http://www.nr.com or call 1- 800-872-7423 (North America only), or send email to trade@cup.cam.ac.uk (outside North America).0. 51 0.5 1 0. 51 0.5 1 0. 51 0.5 1 (a)(b)(c)Figure ... ncity);itmp=iorder[k];iorder[k]=iorder[l];iorder[l]=itmp;}}450Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92...

Tài liệu Minimization or Maximization of Functions part 2 docx

... of points is (a, b, x);398Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 ... interval400Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge ... http://www.nr.com or call 1- 800-872-7423 (North America only), or send email to trade@cup.cam.ac.uk (outside North America).644635 1 52Figure 10 .1. 1. Successive bracketing of a minimum. The...

Tài liệu Minimization or Maximization of Functions part 3 pdf

... 402Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge ... ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge University Press.Programs Copyright (C) 19 88 -19 92 by Numerical Recipes Software. Permission is granted for ... books,diskettes, or CDROMsvisit website http://www.nr.com or call 1- 800-872-7423 (North America only), or send email to trade@cup.cam.ac.uk (outside North America). 1 423parabola through 1 2 3parabola...

Tài liệu Minimization or Maximization of Functions part 4 ppt

... ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge University Press.Programs Copyright (C) 19 88 -19 92 by Numerical Recipes Software. Permission is granted for ... ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge University Press.Programs Copyright (C) 19 88 -19 92 by Numerical Recipes Software. Permission is granted for ... triplet of abscissas (a, b, c), but utilizing an additional capability to compute the function’sﬁrst derivative as well as its value.406Chapter 10 . Minimization or Maximization of Functions Sample...

Tài liệu Minimization or Maximization of Functions part 5 docx

... 408Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge ... guess, that is, an N-vector of independentvariablesas the ﬁrst point to try. The algorithmis then supposed to make its own way 410 Chapter 10 . Minimization or Maximization of Functions Sample page ... ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by Cambridge University Press.Programs Copyright (C) 19 88 -19 92 by Numerical Recipes Software. Permission is granted for...

Tài liệu Minimization or Maximization of Functions part 8 ppt

... *dg,*g,*hdg,**hessin,*pnew,*xi;dg=vector (1, n);g=vector (1, n);hdg=vector (1, n);hessin=matrix (1, n ,1, n);pnew=vector (1, n);xi=vector (1, n);fp=(*func)(p); Calculate starting function value and gra-dient,(*dfunc)(p,g);for (i =1; i<=n;i++) ... searches.#define FREEALL free_vector(xi ,1, n);free_vector(pnew ,1, n); \free_matrix(hessin ,1, n ,1, n);free_vector(hdg ,1, n);free_vector(g ,1, n); \free_vector(dg ,1, n);void dfpmin(float p[], int n, ... that it stores426Chapter 10 . Minimization or Maximization of Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)Copyright (C) 19 88 -19 92 by...

Tài liệu Minimization or Maximization of Functions part 9 pdf

... -a[i +1] [1] /a[i +1] [kp +1] ;if (q < q1) {*ip=i;q1=q;} else if (q == q1) { We have a degeneracy.for (k =1; k<=n;k++) {qp = -a[*ip +1] [k +1] /a[*ip +1] [kp +1] ;q0 = -a[i +1] [k +1] /a[i +1] [kp +1] ;if ... the form (10 .8.3) or (10 .8.4), but rather only equality constraints of theform (10 .8.5) and nonnegativity constraints of the form (10 .8.2).434Chapter 10 . Minimization or Maximization of Functions Sample ... namelyx 1 =2−6x2+x3→ x2= 1 3− 1 6x 1 + 1 6x3 (10 .8 .11 )We then substitute this into the old z-row,z =2x2−4x3=2 1 3− 1 6x 1 + 1 6x3−4x3=23− 1 3x 1 − 11 3x3 (10 .8 .12 )and into all other...

Xem thêm