see also chap 17

Ngày tải lên: 26/01/2014, 06:20

... separate chapters on children younger than year of age, adolescents, and incidence vs mortality trends The monograph is also available from the SEER home page under publications (http://www-seer.ims.nci.nih.gov) ... subgroups are contained in other chapters Figure 6: Age-adjusted* incidence rates for childhood cancer by ICCC group and race/ethnicity age

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Ngày tải lên: 12/06/2014, 11:31

... v is the previous value of w; u is the point at which the function was evaluated most recently Also appearing in the algorithm is the point xm , the midpoint between a and b; however, the function ... 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America) 404 Chapter 10 Minimization or Maximization of Functions #include #include "nrutil.h" #define ... converging in due course by virtue of the latter The reason for comparing to the step before last seems essentially heuristic: Experience shows that it is better not to “punish” the algorithm for...

Ngày tải lên: 01/07/2014, 09:20

... 406 Chapter 10 Minimization or Maximization of Functions #include #include "nrutil.h" #define ... (inverse linear interpolation), which by itself is superlinear of order 1.618 (The golden mean again: see [1], p 57.) We impose the same sort of restrictions on this new trial point as in Brent’s method ... roundoff errors, sometimes because of truncation error in the method of derivative evaluation You will see that the following routine is closely modeled on brent in the previous section 10.3 One-Dimensional...

Ngày tải lên: 01/07/2014, 09:20

... appropriate sequence of such steps will always converge to a minimum of the function described in §10.8, also makes use of the geometrical concept of a simplex Otherwise it is completely unrelated to the ... (North America only),or send email to trade@cup.cam.ac.uk (outside North America) reflection 410 Chapter 10 Minimization or Maximization of Functions Pi = P0 + λei (10.4.1) where the ei ’s are ... input Its ndim+1 rows are ndim-dimensional vectors which are the vertices of the starting simplex Also input is the vector y[1 ndim+1], whose components must be preinitialized to the values of funk...

Ngày tải lên: 01/07/2014, 09:20

... implement (It is also the version of Powell’s method given in Acton [2], from which parts of the following discussion are drawn.) 10.5 Direction Set (Powell’s) Methods in Multidimensions 417 f0 ≡ f(P0 ... which the function f made its largest decrease This seems paradoxical, since that direction was the best of the previous iteration However, it is also likely to be a major component of the new direction ... return to in §10.7!) How does the gradient f change as we move along some direction? Evidently 416 Chapter 10 Minimization or Maximization of Functions Discarding the Direction of Largest Decrease...

Ngày tải lên: 01/07/2014, 09:20

... dbrent instead of brent, i.e., that uses the gradient in doing the line minimizations See note below 424 /* Chapter 10 Minimization or Maximization of Functions gg += g[j]*g[j]; dgg += xi[j]*xi[j]; ... technique for solving linear algebraic equations by minimizing a quadratic form That formalism can also be applied to the problem of minimizing a function approximated by the quadratic Sample page ... 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America) (b) 422 Chapter 10 Minimization or Maximization of Functions form (10.6.1) Recall that, starting with an...

Ngày tải lên: 01/07/2014, 09:20

... also nearly singular There is a simple fix for this rare problem, the same as was mentioned in §10.4: In case of any doubt, you should restart the algorithm at the claimed minimum point, and see ... Likewise, some fancier implementations of variable metric methods (going beyond the scope of this book, see below) have been developed to a greater level of sophistication on issues like the minimization ... (10.7.6) as if it were actually A−1 , that is, xi+1 − xi = Hi+1 · ( fi+1 − fi ) (10.7.7) We might also imagine that the updating formula should be of the form Hi+1 = Hi + correction What “objects”...

Ngày tải lên: 01/07/2014, 09:20

... contemporary account, see [3].) 434 Chapter 10 Minimization or Maximization of Functions Maximize z = 2x2 − 4x3 (10.8.8) with x1 , x2 , x3 , and x4 all nonnegative and also with x1 = − 6x2 + ... vectors also lie on the boundary of the allowed region The simplex method steps among feasible basic vectors until the optimal feasible vector is found with all the x’s nonnegative and also with ... + 4x4 − y1 − y2 + y3 ) (10.8 .17) (where the last equality follows from using 10.8.16) We now perform the simplex method on the auxiliary objective function (10.8 .17) with the constraints (10.8.16)...

Ngày tải lên: 01/07/2014, 09:20

... exp(const × N ), becoming rapidly prohibitive in cost as N increases The traveling salesman problem also belongs to a class of minimization problems for which the objective function E Sample page ... analogy is not perfect, there is a sense in which all of the minimization algorithms thus far in this chapter correspond to rapid cooling or quenching In all cases, we have gone greedily for the quick, ... algorithm is based on quite a different procedure The so-called Boltzmann probability distribution, 446 Chapter 10 Minimization or Maximization of Functions N E=L≡ (xi − xi+1 )2 + (yi − yi+1 )2 (10.9.2)...

Ngày tải lên: 01/07/2014, 09:20

... denoted by “†”) 458 Chapter 11 Eigensystems Left and Right Eigenvectors x · A = λx (11.0.7) These are called left eigenvectors By taking the transpose of equation (11.0.7), we see that every left ... and using the fact that the determinant of a matrix equals the determinant of its transpose, we also see that the left and right eigenvalues of A are identical If the matrix A is symmetric, then ... corresponds to a complex-conjugate pair of complex eigenvalues We will see this idea exploited in some routines given later in the chapter The “grand strategy” of virtually all modern eigensystem routines...

Ngày tải lên: 01/07/2014, 09:20

... (x) at the point x The Newton-Raphson formula can also be applied using a numerical difference to approximate the true local derivative, 366 Chapter Root Finding and Nonlinear Sets of Equations ... will also be a root When the coefficients are complex, the complex roots need not be related Multiple roots, or closely spaced roots, produce the most difficulty for numerical algorithms (see Figure ... trade@cup.cam.ac.uk (outside North America) 363 9.4 Newton-Raphson Method Using Derivative f(x) 364 Chapter Root Finding and Nonlinear Sets of Equations f(x) Figure 9.4.3 Unfortunate case where Newton’s...

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Ngày tải lên: 08/08/2012, 17:35

... giải tranh chấp KD-TM theo phương thức trọng tài September 9, 2012 Biên soạn: ThS.Nguyễn Quốc Sỹ 17 TỐ TỤNG TRỌNG TÀI Câu hỏi Trong điều khoản giải tranh chấp hợp đồng kinh doanh – thương mại,...

Ngày tải lên: 09/08/2012, 08:59

... chóp Biết thể tích khối chóp bằng4 lần thể tích khối nón, tính diện tích toàn phần hình chóp Câu 17( HV BCVT_99A) Trong không gian với hệ toạ độ Oxyz cho hình lập phơng ABCD A1B1C1D1 mà D(0;0;0), ... (d) (d) chéo Tính khoảng cách hai đờng thẳng Hai điểm A, B khác cố định đờng thẳng (d) cho AB = 117 Khi C di động (d), tìm giá trị nhỏ diện tích tam giác ABC Câu 64(HV QHQT_97A) 11 Trờng THPT ... Gọi H hình chiếu vuông góc O (ABC) Chứng minh H trực tâm tam giác ABC Tính OH theo a, b, c (d1) : 17 Trờng THPT Việt Yên - Việt Yên - Bắc Giang Gv Thân Văn Đảm Chứng minh (SABC ) = (SOAB ) + (SOBC...

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