|
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
- [; c# v. x. B D8 t& u* R/ T. g( F牛顿法优化程序代码如下: ]9 B/ ^; ?. ^
function [x,minf] = minNewton(f,x0,eps)
) @0 ~5 \9 l5 ]) q9 hformat long;( {9 ?6 _( Y D$ I" C
if nargin == 2
6 R- w" U9 s4 c7 `2 Q eps = 1.0e-6;
" z) A$ {4 C5 O3 b0 Q {end+ _1 W* B% f; k! @- `
2 S, n; A) `5 ^
df = diff(f);$ D9 g- l8 \5 T/ I3 x9 @
d2f = diff(df);3 K( ?( W. o$ T: Q8 s' ~0 y
k = 0;
- m' a" X; p$ L5 M% ]( Ltol = 1;
9 l* ]7 I5 v9 H& ?+ M4 {( b" i4 M4 {
0 p( Y3 o, o; B; q V1 m. f! m3 bwhile tol>eps u5 t6 h( t9 O$ B: {2 d- E
dfx = subs(df,findsym(df),x0);. j/ h* Z3 U3 n$ W+ E
if diff(d2f) == 0
U0 L1 I6 P; j* X d2fx = double(d2f);
1 `" o8 I8 X5 _4 u0 f. E& w else
0 x6 B2 t; G! k9 n3 ]' w d2fx = subs(d2f,findsym(d2f),x0); ~4 G) u, N5 j
end
7 Y+ ]7 i: u0 \. ^0 G x1 = x0 - dfx/d2fx;
2 A L0 G! J+ w# L# u1 ~1 y k = k + 1;
0 ], \4 Q$ L8 L4 f0 g9 C/ D9 m2 U0 F/ m tol = abs(dfx);
' k; o, k/ L( \/ j x0 = x1;. n9 `7 `! \% ?" p
end
' T6 y) \4 Z* M7 ?; }( P8 S7 G) o1 R' k2 D L- I! o
x = x1;/ v7 ]$ F% v* F9 ~& k4 T; f
minf = subs(f,findsym(f),x);8 Y, \1 ~5 K, n+ @
format short;5 x/ @, o" r+ [% P; e7 b8 h
复制代码; |2 d( ]% G- G& M
* p4 a& f) G( U2 r7 j主程序代码如下:
/ N( O n' S4 ?; g; `4 Qsyms t! G# |- k- m5 M% \; Y
f=t^2-log(t)-5& | X3 F) N6 T. l
x=minNewton(f,2) V7 g5 r4 |: |! I9 P8 @1 H
复制代码
) `) _+ d" M, P- X5 ^" V' t4 y! b9 U, Q4 O
运行主程序后,得到的结果如下:
, E8 d* z9 s0 D/ R# o>> minNewton_ex+ {7 v/ X2 g& [7 h
, p" D: i3 S4 C0 W# \, p4 Qf =
* ^ T7 R; Q3 T( W6 Y/ L Z- O; [
" A9 H% x$ D# D& r2 ?0 Wt^2 - log(t) - 56 o) Q! X! g" D0 x, `
+ |. b b) Z- z0 M: a/ g7 Q9 K
) m5 v5 q0 c/ h. }) a
x =
! ?+ S# `9 [8 U1 ?! y* q2 W" I+ a' k' F
7273770929600966997213123375563852928/10286665498236842695784281251177659137
* {' H% O! V( l( N( {+ ~
% @1 n+ d( R: R: `
4 M- v4 m, Y* G# g- n& s2 {x的值怎么会是这样,不应该是一个小数吗? |
|