{"id":6444,"date":"2024-08-08T16:01:01","date_gmt":"2024-08-08T08:01:01","guid":{"rendered":""},"modified":"2024-08-08T16:01:01","modified_gmt":"2024-08-08T08:01:01","slug":"matlab\u4e2dfminimax_matlab\u591a\u5143\u62df\u5408","status":"publish","type":"post","link":"https:\/\/mushiming.com\/6444.html","title":{"rendered":"matlab\u4e2dfminimax_matlab\u591a\u5143\u62df\u5408"},"content":{"rendered":"
\n

\u8bbe\u67d0\u57ce\u5e02\u6709\u67d0\u79cd\u7269\u54c1\u768410\u4e2a\u9700\u6c42\u70b9\uff0c\u7b2ci\u4e2a\u9700\u6c42\u70b9Pi\u7684\u5750\u6807\u4e3a(ai,bi),\u9053\u8def\u7f51\u4e0e\u5750\u6807\u8f74\u5e73\u884c\uff0c\u5f7c\u6b64\u6b63\u4ea4\u3002\u73b0\u6253\u7b97\u5efa\u4e00\u4e2a\u8be5\u7269\u54c1\u7684\u4f9b\u5e94\u4e2d\u5fc3\uff0c\u4e14\u7531\u4e8e\u53d7\u5230\u57ce\u5e02\u67d0\u4e9b\u6761\u4ef6\u7684\u9650\u5236\uff0c\u8be5\u4f9b\u5e94\u4e2d\u5fc3\u53ea\u80fd\u8bbe\u5728x\u754c\u4e8e[5,8]\uff0cy\u754c\u4e8e[5.8]\u7684\u8303\u56f4\u4e4b\u5185\u3002\u95ee\u8be5\u4e2d\u5fc3\u5e94\u5efa\u5728\u4f55\u5904\u4e3a\u597d?<\/p>\n

P\u70b9\u7684\u5750\u6807\u4e3a\uff1a<\/p>\n

ai<\/p>\n

1<\/p>\n

4<\/p>\n

3<\/p>\n

5<\/p>\n

9<\/p>\n

12<\/p>\n

6<\/p>\n

20<\/p>\n

17<\/p>\n

8<\/p>\n

bi<\/p>\n

2<\/p>\n

10<\/p>\n

8<\/p>\n

18<\/p>\n

1<\/p>\n

4<\/p>\n

5<\/p>\n

10<\/p>\n

8<\/p>\n

9<\/p>\n

\u89e3\uff1a\u8bbe\u4f9b\u5e94\u4e2d\u5fc3\u7684\u4f4d\u7f6e\u4e3a(x,y)\uff0c\u8981\u6c42\u5b83\u5230\u6700\u8fdc\u9700\u6c42\u70b9\u7684\u8ddd\u79bb\u5c3d\u53ef\u80fd\u5c0f\uff0c\u6b64\u5904\u91c7\u7528\u6cbf\u9053\u8def\u884c\u8d70\u8ba1\u7b97\u8ddd\u79bb(\u5982\u56fe8-1)\uff0c\u5219\u6570\u5b66\u6a21\u578b\u4e3a\uff1a<\/p>\n

\"matlab\u4e2dfminimax_matlab\u591a\u5143\u62df\u5408<\/p>\n

\"matlab\u4e2dfminimax_matlab\u591a\u5143\u62df\u5408<\/p>\n

\u56fe8-1\u4f9b\u5e94\u4e2d\u5fc3\u5230\u9700\u6c42\u70b9\u7684\u884c\u8d70\u8def\u7ebf\u56fe<\/p>\n

\u7528MATLAB\u7684fminimax\u51fd\u6570\u8fdb\u884c\u6c42\u89e3<\/p>\n

fun011.m<\/p>\n

function f=fun011(x)<\/p>\n

m=[1 4 3 5 9 12 6 20 17 8];<\/p>\n

n=[2 10 8 18 1 4 5 10 8 9];<\/p>\n

str=[repmat(\u2018   (\u2018,10,1) num2str(m\u2018)  num2str(n\u2018) repmat(\u2018)\u2018,10,1)];<\/p>\n

plot(m,n,\u2018o\u2018)<\/p>\n

text(m,n,cellstr(str))<\/p>\n

hold on<\/p>\n

for i=1:10<\/p>\n

f(i)=abs(x(1)-m(i))+abs(x(2)-n(i));<\/p>\n

end<\/p>\n

\u4e3b\u51fd\u6570<\/p>\n

fun011yunxing.m<\/p>\n

clc<\/p>\n

tic<\/p>\n

x0=[6;6];<\/p>\n

A=[-1 0;1 0;0 -1;0 1];<\/p>\n

b=[-5;8;-5;8];<\/p>\n

lb=[0;0];<\/p>\n

ub=[];<\/p>\n

[x,fva,maxfval,exitflag,output]=fminimax(@fun011,x0,A,b,[],[],lb,ub)<\/p>\n

plot(x(1),x(2),\u2018r *\u2018)<\/p>\n

toc<\/p>\n

\u89e3\u5f97\uff1a<\/p>\n

x =<\/p>\n

8<\/p>\n

8<\/p>\n

fva =<\/p>\n

13     6     5    13     8     8     5    14     9     1<\/p>\n

maxfval =<\/p>\n

14<\/p>\n

exitflag =<\/p>\n

4<\/p>\n

output =<\/p>\n

iterations: 3<\/p>\n

funcCount: 14<\/p>\n

\u2026\u2026<\/p>\n

\u65f6\u95f4\u5df2\u8fc7 0.\u79d2\u3002<\/p>\n

\u6c42\u89e3\u7684\u540c\u65f6\u6211\u4eec\u7528\u56fe8-2\u63cf\u8ff0\u4e86\u8be5\u95ee\u9898\uff0c*\u70b9\u5c31\u662f\u6240\u6c42\u70b9\u3002\u4e14\u6700\u5c0f\u7684\u6700\u5927\u4f9b\u5e94\u8ddd\u79bb14\u4e3a\u4ece\u4f9b\u5e94\u4e2d\u5fc3(8\uff0c8)\u5230\u9700\u6c42\u70b9(20\uff0c10)\u7684\u8ddd\u79bb\u3002<\/p>\n

\"matlab\u4e2dfminimax_matlab\u591a\u5143\u62df\u5408<\/p>\n

\u56fe 8-2\u9700\u6c42\u70b9\u53ca\u4f9b\u5e94\u4e2d\u5fc3<\/p>\n

\u7248\u6743\u58f0\u660e\uff1a\u672c\u6587\u4e3a\u535a\u4e3b\u539f\u521b\u6587\u7ae0\uff0c\u672a\u7ecf\u535a\u4e3b\u5141\u8bb8\u4e0d\u5f97\u8f6c\u8f7d\u3002<\/p>\n

\u539f\u6587\uff1ahttp:\/\/blog.csdn.net\/lzx\/article\/details\/<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"matlab\u4e2dfminimax_matlab\u591a\u5143\u62df\u5408\u8bbe\u67d0\u57ce\u5e02\u6709\u67d0\u79cd\u7269\u54c1\u768410\u4e2a\u9700\u6c42\u70b9\uff0c\u7b2ci\u4e2a\u9700\u6c42\u70b9Pi\u7684\u5750\u6807\u4e3a(ai,bi),\u9053\u8def\u7f51\u4e0e\u5750\u6807\u8f74\u5e73\u884c\uff0c\u5f7c\u6b64\u6b63\u4ea4","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts\/6444"}],"collection":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/comments?post=6444"}],"version-history":[{"count":0,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts\/6444\/revisions"}],"wp:attachment":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/media?parent=6444"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/categories?post=6444"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/tags?post=6444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}