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fegg7502: ½ð±Ò+1, Ó¦ÖúÖ¸Êý+1, 3ks 2014-06-19 08:04:35
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ÒòΪÄãÕâ¸öÇ°Ãæµ÷Óùýfun(x0)ûÎÊÌ⣬ÄÇôÎÊÌâ×î¿ÉÄÜÊÇÔÚx= fminunc('fun',x0);ÕâÒ»¾äÁË¡£
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7Â¥2014-06-18 23:03:05
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fegg7502: ½ð±Ò+1, 3ks 2014-06-19 08:04:07
fun û¶¨Òå
¸ø³öÍêÕûµÄ³ÌÐò¿´¿´¡£
MATLAB¡¢MSСÎÊÌâ¡¢ÆÕͨÎÊÌâÇë·¢ÌûÇóÖú£¡Ê±¼ä¾«Á¦ÓÐÏÞ£¬Ë¡²»½ÓÊÜÎÞ³¥Ë½ÐÅÇóÖú¡£
2Â¥2014-06-18 18:49:08
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a364448242

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fegg7502: ½ð±Ò+1, ¹ÄÀø½»Á÷ 2014-06-19 08:04:15
ÒýÓûØÌû:
2Â¥: Originally posted by ÔÂÖ»À¶ at 2014-06-18 18:49:08
fun û¶¨Òå
¸ø³öÍêÕûµÄ³ÌÐò¿´¿´¡£

clc
tic
x0=input('ÇëÊäÈë³õʼµã(ÐÎʽÈç[0 0])£º');
x0=x0';
disp('±ä³ß¶È·¨Çó½âÎÞÔ¼Êø×îÓÅ»¯ÎÊÌ⣬±¾³ÌÐòÒÔRosenbrockº¯ÊýΪÀý');
disp('1-----ArmijoËÑË÷');
disp('2-----Armijo_goldsteinËÑË÷');
tt=input('ÇëÄúÑ¡ÔñËÑË÷·½·¨\n');
disp('1-----DFPУÕý¹«Ê½');
disp('2-----Symmetric Rank 1УÕý¹«Ê½');
disp('3-----BFGSУÕý¹«Ê½');
zz=input('ÇëÄúÑ¡ÔñËùÓõÄϵÊý¹«Ê½\n');
disp('ÕýÔÚ¼ÆË㣬ÇëÉԵȡ­¡­');
f0=fun(x0);
g0=gfun(x0);
p0=-gfun(x0);
bcd(x0,tt,zz);
disp('---------µ÷ÓÃϵͳº¯ÊýÏà±È½Ï-----------');
x= fminunc('fun',x0);
f=fun(x);
disp('×îСֵʱµÄµü´úµã :');
        x
        disp('º¯ÊýµÄ×îСֵΪ:');
        f

disp('CPUÔËÐÐʱ¼ä£º')
disp('-------------½áÊø-------------');
toc
3Â¥2014-06-18 19:46:28
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ÒýÓûØÌû:
3Â¥: Originally posted by a364448242 at 2014-06-18 19:46:28
clc
tic
x0=input('ÇëÊäÈë³õʼµã(ÐÎʽÈç)£º');
x0=x0';
disp('±ä³ß¶È·¨Çó½âÎÞÔ¼Êø×îÓÅ»¯ÎÊÌ⣬±¾³ÌÐòÒÔRosenbrockº¯ÊýΪÀý');
disp('1-----ArmijoËÑË÷');
disp('2-----Armijo_goldsteinËÑË÷');
tt=input('Çë ...

gfunµÄ¶¨ÒåÄØ
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4Â¥2014-06-18 20:31:23
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ÒýÓûØÌû:
3Â¥: Originally posted by a364448242 at 2014-06-18 19:46:28
clc
tic
x0=input('ÇëÊäÈë³õʼµã(ÐÎʽÈç)£º');
x0=x0';
disp('±ä³ß¶È·¨Çó½âÎÞÔ¼Êø×îÓÅ»¯ÎÊÌ⣬±¾³ÌÐòÒÔRosenbrockº¯ÊýΪÀý');
disp('1-----ArmijoËÑË÷');
disp('2-----Armijo_goldsteinËÑË÷');
tt=input('Çë ...

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MATLAB¡¢MSСÎÊÌâ¡¢ÆÕͨÎÊÌâÇë·¢ÌûÇóÖú£¡Ê±¼ä¾«Á¦ÓÐÏÞ£¬Ë¡²»½ÓÊÜÎÞ³¥Ë½ÐÅÇóÖú¡£
5Â¥2014-06-18 20:31:55
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fegg7502: ½ð±Ò+1, Ó¦ÖúÖ¸Êý+1, ¹ÄÀø½»Á÷ 2014-06-19 08:04:27
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6Â¥2014-06-18 20:33:35
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a364448242

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ÒýÓûØÌû:
4Â¥: Originally posted by ÔÂÖ»À¶ at 2014-06-18 20:31:23
gfunµÄ¶¨ÒåÄØ...

%(ÇóÌݶÈ)
function g=gfun(x0)
syms x1 x2
f=100*(x2-x1^2)^2+(1-x1)^2;
gg=jacobian(f,[x1;x2]);
g=(subs(gg,{x1,x2},{x0(1),x0(2)}))';
8Â¥2014-06-19 09:24:05
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

a364448242

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ÒýÓûØÌû:
5Â¥: Originally posted by ÔÂÖ»À¶ at 2014-06-18 20:31:55
ÒÔ¼°bcdµÄ¶¨Òå...

function [x,f,times]=bcd(x0,tt,zz)
xx1=-1:0.1:2;
xx2=-1:0.1:2;
%----------»æÍ¼º¯Êý
set(0,'defaultfigurecolor',[1 .8 0]);
[x1,x2]=meshgrid(xx1,xx2);
f=100*(x2-x1.^2).^2+(1-x1).^2;
contour(x1,x2,f,20);
hold on
title('±ä³ß¶È·¨','FontSize',16,'fontweight','bold');
strl(1)={'ÐÅ¿Æ012°à'};
strl(2)={'9ºÅ;23ºÅ'};
uicontrol('Style','text','FontSize',12,'Position',[75 320 120 38],...
   'String',strl);
%---------------±ä³ß¶È·¨ËÑË÷×îСֵº¯Êý
%---------------tt±íÑ¡ÔñËÑË÷·½·¨ÏµÊý
%---------------zz±íÑ¡ÔñϵÊý
x=x0;
h0=[1 0;0 1];
epis=0.000001;
f=fun(x0);
g=gfun(x0);
times=0;
plot(x0(1),x0(2),'k*')
while norm(g)>=epis
    p0=-h0'*g;
    times=times+1;
    x0=x;
    f0=f;
    g0=g;
    switch tt         %--------------------Ñ¡ÔñËÑË÷·½·¨
        case 1        %--------------------Armijo·¨
    x=s1(x0,p0);
        case 2        %--------------------Armijo_goldstein·¨
    x=s2(x0,p0);
  otherwise
    return
   end
   
    plot(x(1),x(2),'g*')
    plot([x0(1), x(1)],[x0(2), x(2)],'r')
    f=fun(x);
    g=gfun(x);
    s0=x-x0;
    y0=g-g0;
    if norm(g)<epis
        disp('×îºóµÄµü´ú²½ÊýΪ:')
        times
        disp('×îСֵʱµÄµü´úµã :');
        x
        disp('º¯ÊýµÄ×îСֵΪ:');
        f
        break;
      end
   switch zz
          case 1
          h=h0+(s0*s0')/(s0'*y0)-(h0*y0*y0'*h0)/(y0'*h0*y0);                %-------DFPУÕý¹«Ê½
          case 2
          h=h0+((s0-h0*y0)*(s0-h0*y0)')/(y0'*(s0-h0*y0));                     %-------Symmetric Rank 1УÕý¹«Ê½
          case 3
          h=h0+((1+(y0'*h0*y0)/(s0'*y0))*s0*s0'-h0*y0*s0'-s0*y0'*h0)/(s0'*y0); %----------BFGSУÕý¹«Ê½
         otherwise
             return
     end
         h0=h;
      
     end
9Â¥2014-06-19 09:26:33
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

a364448242

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Ëͺ컨һ¶ä
ÒýÓûØÌû:
6Â¥: Originally posted by ÔÂÖ»À¶ at 2014-06-18 20:33:35
ÄãÕâ¸öº¯ÊýÉæ¼°µÄº¯Êý±È½Ï¶à£¬Äã°ÑËùÓеĺ¯Êý¶¼·ÅÔÚmatlabµÄ¹¤×÷Ŀ¼ÏÂÊÔÊÔ¿´¿´¡£

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10Â¥2014-06-19 15:44:53
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