{"id":477,"date":"2021-05-10T22:42:09","date_gmt":"2021-05-10T14:42:09","guid":{"rendered":"http:\/\/www.wayln.com\/?p=477"},"modified":"2021-05-11T14:13:19","modified_gmt":"2021-05-11T06:13:19","slug":"4-9-%e9%a9%ac%e5%b0%94%e7%a7%91%e5%a4%ab%e9%93%be%e4%b8%ad%e7%9a%84%e5%ba%94%e7%94%a8","status":"publish","type":"post","link":"https:\/\/www.wayln.com\/?p=477","title":{"rendered":"4.9 \u9a6c\u5c14\u79d1\u592b\u94fe\u4e2d\u7684\u5e94\u7528"},"content":{"rendered":"

\u672c\u8282\u4e2d\u63cf\u8ff0\u7684\u9a6c\u5c14\u79d1\u592b\u94fe\uff0c\u5728\u8bb8\u591a\u5b66\u79d1\u5982\u751f\u7269\u5b66\u3001\u5546\u4e1a\u3001\u5316\u5b66\u3001\u5de5\u7a0b\u5b66\u53ca\u7269\u7406\u5b66\u7b49\u9886\u57df\u4e2d\u88ab\u7528\u6765\u505a\u6570\u5b66\u6a21\u578b\u3002\u5728\u6bcf\u79cd\u60c5\u5f62\u4e2d\uff0c\u8be5\u6a21\u578b\u4e60\u60ef\u4e0a\u7528\u6765\u63cf\u8ff0\u7528\u540c\u4e00\u79cd\u65b9\u6cd5\u8fdb\u884c\u591a\u6b21\u7684\u5b9e\u9a8c\u6216\u6d4b\u91cf\uff0c\u5b9e\u9a8c\u4e2d\u6bcf\u6b21\u6d4b\u8bd5\u7684\u7ed3\u679c\u5c5e\u4e8e\u51e0\u4e2a\u6307\u5b9a\u7684\u53ef\u80fd\u7ed3\u679c\u4e4b\u4e00\uff0c\u6bcf\u6b21\u6d4b\u8bd5\u7ed3\u679c\u4ec5\u4f9d\u8d56\u4e8e\u6700\u8fd1\u7684\u524d\u4e00\u6b21\u6d4b\u8bd5\u3002
\n\u3000\u4e00\u4e2a\u5177\u6709\u975e\u8d1f\u5206\u91cf\u4e14\u4e2a\u5206\u91cf\u7684\u6570\u503c\u76f8\u52a0\u7b49\u4e8e1\u7684\u5411\u91cf\u79f0\u4e3a\u6982\u7387\u5411\u91cf<\/strong>;\u968f\u673a\u77e9\u9635<\/strong>\u662f\u5404\u5217\u5411\u91cf\u5747\u4e3a\u6982\u7387\u5411\u91cf\u7684\u65b9\u9635\uff1b\u9a6c\u5c14\u79d1\u592b\u94fe<\/strong>\u662f\u4e00\u4e2a\u6982\u7387\u5411\u91cf\u5e8f\u5217x_0,x_1,x_2,\\dots<\/span>\u548c\u4e00\u4e2a\u968f\u673a\u77e9\u9635P<\/span>,\u4f7f\u5f97<\/p>\n

x_1=Px_0,x_2=Px_1,x_3=Px_2,\\dots\n<\/div>\n

\u4e8e\u662f\u9a6c\u5c14\u79d1\u592b\u94fe\u53ef\u7528\u4e00\u9636\u5dee\u5206\u65b9\u7a0b\u6765\u523b\u753b\uff1a<\/p>\n

x_{k+1}=Px_k,k=0,1,2,\\dots\n<\/div>\n

\u5f53\u5411\u91cf\u5728R^n<\/span>\u4e2d\u7684\u4e00\u4e2a\u9a6c\u5c14\u79d1\u592b\u94fe\u63cf\u8ff0\u4e00\u4e2a\u7cfb\u7edf\u6216\u5b9e\u73b0\u7684\u5e8f\u5217\u65f6\uff0cx_k<\/span>\u4e2d\u7684\u6570\u503c\u5206\u522b\u5217\u51fa\u7cfb\u7edf\u5728n\u4e2a\u53ef\u80fd\u72b6\u6001\u4e2d\u7684\u6982\u7387\uff0c\u6216\u5b9e\u9a8c\u7ed3\u679c\u662fn\u4e2a\u53ef\u80fd\u7ed3\u679c\u4e4b\u4e00\u7684\u6982\u7387\u3002\u56e0\u6b64\uff0cx_k<\/span>\u901a\u5e38\u79f0\u4e3a\u72b6\u6001\u5411\u91cf<\/strong>\u3002<\/p>\n

\u7a33\u6001\u5411\u91cf<\/h1>\n

\u3000\u82e5P\u662f\u4e00\u4e2a\u968f\u673a\u77e9\u9635\uff0c\u5219\u76f8\u5bf9\u4e8eP\u7684\u7a33\u6001\u5411\u91cf\uff08\u6216\u5e73\u8861\u5411\u91cf\uff09<\/strong>\u662f\u4e00\u4e2a\u6ee1\u8db3<\/p>\n

“`math
\n Pq=q
\n “`
\n \u7684\u6982\u7387\u5411\u91cfq<\/span>\u3002\u53ef\u4ee5\u8bc1\u660e\u6bcf\u4e00\u4e2a\u968f\u673a\u77e9\u9635\u6709\u4e00\u4e2a\u7a33\u6001\u5411\u91cf\u3002<\/p>\n

\u6211\u4eec\u8bf4\u4e00\u4e2a\u968f\u673a\u77e9\u9635\u662f\u6b63\u5219<\/strong>\u7684\uff0c\u5982\u679c\u77e9\u9635\u7684\u67d0\u6b21\u5e42P^k<\/span>\u4ec5\u5305\u542b\u6b63\u7684\u6570\u503c\u3002
\n \u53e6\u5916\uff0c\u6211\u4eec\u8bf4\u4e00\u4e2a\u5411\u91cf\u5e8f\u5217\{x_k:k=1,2,\\dots\}<\/span>\u5f53k \\rightarrow \\infty<\/span>\u65f6\uff0c\u6536\u655b\u5230\u4e00\u4e2a\u5411\u91cfq<\/span>,\u5982\u679c\u5f53k<\/span>\u5145\u5206\u5927\u65f6\uff0cx_k<\/span>\u4e2d\u7684\u6570\u503c\u65e0\u9650\u63a5\u8fd1q<\/span>\u4e2d\u5bf9\u5e94\u7684\u6570\u503c\u3002<\/p>\n

\n \u5b9a\u740618<\/strong> \u82e5P<\/span>\u662f\u4e00\u4e2anxn\u7684\u6b63\u5219\u968f\u673a\u77e9\u9635\uff0c\u5219P\u5177\u6709\u552f\u4e00\u7684\u7a33\u6001\u5411\u91cfq\u3002\u8fdb\u4e00\u6b65\uff0c\u82e5x_0<\/span>\u662f\u4efb\u4e00\u4e2a\u8d77\u59cb\u72b6\u6001\uff0c\u4e14x_{k+1}=Px_k,k=0,1,2,\\dots<\/span>,\u5219\u5f53k \\rightarrow \\infty<\/span>\u65f6\uff0c\u9a6c\u5c14\u79d1\u592b\u94fe\{x_k\}<\/span>\u6536\u655b\u5230q<\/span>\u3002\n<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

\u672c\u8282\u4e2d\u63cf\u8ff0\u7684\u9a6c\u5c14\u79d1\u592b\u94fe\uff0c\u5728\u8bb8\u591a\u5b66\u79d1\u5982\u751f\u7269\u5b66\u3001\u5546\u4e1a\u3001\u5316\u5b66\u3001\u5de5\u7a0b\u5b66\u53ca\u7269\u7406\u5b66\u7b49\u9886\u57df\u4e2d\u88ab\u7528\u6765\u505a\u6570\u5b66\u6a21\u578b\u3002\u5728\u6bcf\u79cd\u60c5\u5f62\u4e2d\uff0c […]<\/p>\n","protected":false},"author":1,"featured_media":388,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21,22,26],"tags":[],"class_list":["post-477","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-21","category-22","category-26"],"_links":{"self":[{"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/477","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=477"}],"version-history":[{"count":3,"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/477\/revisions"}],"predecessor-version":[{"id":491,"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/477\/revisions\/491"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/media\/388"}],"wp:attachment":[{"href":"https:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=477"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=477"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=477"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}