|
|
EDA365欢迎您登录!
您需要 登录 才可以下载或查看,没有帐号?注册
x
! n3 @& n/ d* f. J- M
牛顿法优化程序代码如下:0 R- r+ o( l" H% B' |9 K5 a
function [x,minf] = minNewton(f,x0,eps)
2 B+ N# F. D2 k5 H Tformat long;
/ `, D4 y2 j8 Rif nargin == 2+ C5 z& b5 V$ {& S
eps = 1.0e-6;: I& r9 Y$ h# r1 g5 a
end
* V( X/ u8 ?. E3 y$ z% U' D# f
" j& g, G& ]9 n$ H3 ?# _& ldf = diff(f);
, W$ z) P7 B% k) \) @, i9 J& sd2f = diff(df);
6 B# @4 g: n# S3 A$ nk = 0;+ r: E& c" [' L
tol = 1;! o. d: Z1 `5 _- n
: m3 X+ A* `4 ~" W8 _
while tol>eps
% V0 F, c: o" X dfx = subs(df,findsym(df),x0);% ^: X1 K) C: @& |% |+ m- E
if diff(d2f) == 06 C* b& w* R7 S" q H
d2fx = double(d2f);
! H6 ?; c, `$ K) h8 a3 H else, c9 a$ {! I d' Q0 f! j _0 \+ X
d2fx = subs(d2f,findsym(d2f),x0);
2 h, L, H3 p! c& ^ d' ` end
) t: b6 v- g& J& [" J8 ~6 i x1 = x0 - dfx/d2fx;, ]7 Z+ N( X |! T) E, d5 [' Y
k = k + 1;
9 }( d2 a1 K+ P) e4 g0 v1 f8 H1 N tol = abs(dfx);
) R& ]3 X% X5 m$ p) D) x7 M. c- o x0 = x1;% Y2 g/ A3 W6 X* A, n' L
end6 c! b4 Z1 D$ q" D2 P
, P$ C2 }0 H1 Fx = x1;
' P i4 f# f- r8 S$ P) x" V9 ~minf = subs(f,findsym(f),x);
$ d6 C% J* C" W+ m) n# vformat short;$ |- U0 W$ _% G! E/ t4 Y
复制代码
3 S8 W4 p8 I' q; _' G8 U9 u" I* z {6 J2 R6 n# t0 ~
主程序代码如下:
# G, _! D1 f3 ]4 J9 G5 {7 hsyms t
: n3 y6 J7 Q; C- A+ L3 tf=t^2-log(t)-5
* p4 [; |1 x# i+ M5 tx=minNewton(f,2)
; A- n6 ?0 P5 u, F复制代码
/ {9 X' M: Z6 h+ W1 V4 e
- U7 d M/ |5 S7 S( {6 F i* U运行主程序后,得到的结果如下:
4 ?) ~! q, E' n5 a7 L1 x>> minNewton_ex! p$ y% i; ]8 x7 D
2 z t" L4 ]+ j8 U2 ~$ U
f =3 G2 K$ y" {4 G2 V. M( e
% E3 ?, s, x' I+ E# ^) Q
t^2 - log(t) - 56 M0 [: z) J: W# N9 f" B: W0 I( d
& `4 J Z* ~! v/ Y
7 [! w& U, l( i, b: f5 c3 `. \) lx =4 `4 N5 Q5 |, @/ r
3 E' E1 S) t( H X# T0 U: e
7273770929600966997213123375563852928/10286665498236842695784281251177659137- z+ n! w: {) L/ I, p( o5 x
9 M. Q1 D2 m- u! v7 W& u0 R
1 c. U7 q; j9 [& l: I% z5 H _x的值怎么会是这样,不应该是一个小数吗? |
|