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0 B" L B8 m( M% R; s4 p牛顿法优化程序代码如下:
9 O/ G6 t+ T& `8 t( wfunction [x,minf] = minNewton(f,x0,eps)
( k v% { r2 }# [5 Iformat long;
; H# f- T. O% mif nargin == 27 K- e! ?/ }# i
eps = 1.0e-6;
7 n; o, g4 _9 ~" oend
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: k$ |; z4 X: i. pdf = diff(f);
% F6 U' _3 p T1 P- }) K9 vd2f = diff(df);
D3 h/ |5 M) i) G) n I( C. uk = 0;( ?9 `7 `8 a4 q i( |& T$ F; i
tol = 1;
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6 v) K6 |; g- }0 vwhile tol>eps/ J% f; ]& A; _; ]- A7 ~
dfx = subs(df,findsym(df),x0);
9 N; x$ }5 L+ `- @- E) k if diff(d2f) == 0' [+ ]6 b$ E8 }1 r
d2fx = double(d2f);
5 n4 j+ ^. J; C' u" m2 D else
1 k$ _5 K' t' h6 _ d2fx = subs(d2f,findsym(d2f),x0);
1 t4 x; m ^2 O% S2 B end
6 c, m% ` i3 e' V0 O' q x1 = x0 - dfx/d2fx;
* S9 n& r% S- T k = k + 1;4 Y; f+ D! o/ w9 R8 q
tol = abs(dfx);8 h1 @- m, _7 s- [+ j8 W& G$ K+ q9 j+ c
x0 = x1;1 h3 \3 W: l( ~; h
end
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x = x1;
- o3 k5 f; r. n# J2 L/ Iminf = subs(f,findsym(f),x);
* \7 u+ Z4 G' A# m2 P2 jformat short;
7 l( ]5 z( K, h: ?复制代码3 q- @9 i1 X9 F1 h1 g! l
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主程序代码如下:
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f=t^2-log(t)-5" C4 G( V( @" l$ \/ a/ o# t/ M
x=minNewton(f,2)
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- \9 D0 E, D2 M- B
运行主程序后,得到的结果如下:
5 H6 A# n$ O7 }4 z- ^1 G>> minNewton_ex
0 S$ c9 E6 r( ~, {
9 ?8 c* V8 |0 R7 }; Y! Hf =
* f2 Y. X" Q( x R
; U8 h# M7 o- c0 T2 K: D ct^2 - log(t) - 5% I5 t5 U/ ~! L0 O* k$ g& ^
7 S' z1 D" v: ?2 c* A# K2 M. }
2 \7 d) ^+ o+ p0 J
x =
* F1 V: d, @+ x/ p; i
! Z7 G- {% T- V g2 K( a- T9 f7273770929600966997213123375563852928/10286665498236842695784281251177659137
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0 A: X/ ~3 {8 P- v& wx的值怎么会是这样,不应该是一个小数吗? |
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