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href=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2020\/09\/LinearAlgebra.png\"><img loading=\"lazy\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2020\/09\/LinearAlgebra.png\" alt=\"LinearAlgebra\" width=\"1882\" height=\"1496\" class=\"alignleft size-full wp-image-5151\" \/><\/a><br \/>\n\u56fe1\uff1a\u300a\u7ebf\u6027\u4ee3\u6570\u300b\u4e3b\u8981\u6982\u5ff5\u3001\u6982\u5ff5\u5173\u7cfb\u3001\u5b66\u79d1\u5927\u56fe\u666f\uff08\u8bfe\u7a0b\u76ee\u6807\uff09\u3002<\/p>\n<p>\u8bfe\u7a0b\u76ee\u6807\uff1a\u7ebf\u6027\u4ee3\u6570\u7ed9\u63cf\u8ff0\u4e16\u754c\u63d0\u4f9b\u4e86\u6700\u91cd\u8981\u7684\u6570\u5b66\u7ed3\u6784\uff0c\u6570\u503c\u7ebf\u6027\u4ee3\u6570\u662f\u6700\u91cd\u8981\u7684\u6570\u503c\u8ba1\u7b97\u65b9\u6cd5\u3002\u56e0\u6b64\uff0c\u8fd9\u95e8\u8bfe\u7a0b\u7684<strong>\u77e5\u8bc6\u4e0a\u7684\u76ee\u6807\u662f\u5e2e\u52a9\u5b66\u751f\u5efa\u6784\u4ece\u96c6\u5408\u6620\u5c04\u5230\u7ebf\u6027\u7a7a\u95f4\u7684\u6570\u5b66\u6982\u5ff5\u4f53\u7cfb\uff0c\u4ee5\u53ca\u5b66\u4f1a\u505a\u6570\u503c\u7ebf\u6027\u4ee3\u6570<\/strong>\u3002\u540c\u65f6\uff0c\u5728\u672c\u8bfe\u7a0b\u5728<strong>\u601d\u7ef4\u65b9\u5f0f\u4e0a\u7684\u76ee\u6807\u662f\u628a\u95ee\u9898\u62bd\u8c61\u548c\u8f6c\u5316\u6210\u77e9\u9635\u548c\u77e2\u91cf\u7684\u95ee\u9898\u7684\u80fd\u529b\uff0c\u4f9d\u8d56\u62bd\u8c61\u6982\u5ff5\u5c55\u5f00\u601d\u8003\u7684\u80fd\u529b<\/strong>\u3002\u6ce8\u610f\uff0c\u5927\u91cf\u7684\u5bf9\u8c61\u90fd\u53ef\u4ee5\u88ab\u62bd\u8c61\u4e3a\u77e2\u91cf\u548c\u77e9\u9635\u4ee5\u53ca\u5f20\u91cf\u7b49\u6570\u5b66\u7ed3\u6784\u3002\u56e0\u6b64\uff0c\u672c\u8bfe\u7a0b\u7684\u5178\u578b\u5bf9\u8c61\u5c3d\u7ba1\u4ece\u6570\u5b66\u4e0a\u5c31\u662f\u77e2\u91cf\u3001\u77e9\u9635\u3001\u5f20\u91cf\uff0c\u4f46\u662f\u5728\u5e94\u7528\u4e0a\uff0c\u8981\u901a\u8fc7\u4f8b\u5b50\u5c55\u793a\u5176\u666e\u9002\u6027\u548c\u5a01\u529b\u3002\u987a\u4fbf\uff0c\u672c\u8bfe\u7a0b\u4e5f\u4f1a\u901a\u8fc7\u5e94\u7528\u90e8\u5206\u7684\u4f8b\u5b50\u6765\u7a0d\u5fae\u5c55\u793a\u4e00\u4e0b\u7ebf\u6027\u4ee3\u6570\u548c\u7cfb\u7edf\u79d1\u5b66\u5b66\u79d1\u8054\u7cfb\u3002<\/p>\n<p><strong>\u6309\u7167\u8fd9\u4e2a\u76ee\u6807\u6240\u8bbe\u8ba1\u7684\u672c\u8bfe\u7a0b\u7684\u56db\u4e2a\u6a21\u5757\u662f\uff1a\u77e2\u91cf\u7a7a\u95f4\uff0c\u77e9\u9635\u8bba\uff0c\u6570\u503c\u7ebf\u6027\u4ee3\u6570\uff0c\u7ebf\u6027\u4ee3\u6570\u7684\u5e94\u7528\u6848\u4f8b\u3002\u4f20\u7edf\u7684\u4ee5\u884c\u5217\u5f0f\u548c\u884c\u5217\u5f0f\u7684\u8ba1\u7b97\uff0c\u5c24\u5176\u662f\u624b\u52a8\u8ba1\u7b97\uff0c\u4e3a\u57fa\u672c\u76ee\u6807\u7684\u7ebf\u6027\u4ee3\u6570\u662f\u5b8c\u5168\u4e0d\u80fd\u5b9e\u73b0\u4e0a\u9762\u7684\u76ee\u6807\u7684\u3002<\/strong><\/p>\n<p>\u53e6\u5916\uff0c\u4ece\u6559\u5b66\u65b9\u6cd5\u4e0a\u6765\u8bb2\uff0c\u672c\u8bfe\u7a0b\u91c7\u7528\u7684\u6559\u5b66\u65b9\u6cd5\u5305\u542b\u7406\u89e3\u578b\u5b66\u4e60\u3001\u4ee5\u9879\u76ee\u4e3a\u57fa\u7840\u7684\u5b66\u4e60\u3001\u521b\u9020\u4f53\u9a8c\u5f0f\u5b66\u4e60\u3001\u8bb2\u7ed9\u522b\u4eba\u542c\uff08\u540c\u4f34\u6559\u5b66\u6cd5\uff09\u3002\u8fd9\u9700\u8981\u5b66\u751f\u5df2\u7ecf\u5177\u6709\u6216\u8005\u8bf4\u80fd\u591f\u88ab\u57f9\u517b\u51fa\u6765\u4e00\u5b9a\u7684\u81ea\u5b66\u80fd\u529b\uff0c\u613f\u610f\u6295\u5165\u65f6\u95f4\u53bb\u601d\u8003\u548c\u5b8c\u6210\u8bfe\u7a0b\u9879\u76ee\u548c\u4f5c\u4e1a\u3002\u5927\u91cf\u7684\u9605\u8bfb\u6750\u6599\u548c\u7814\u7a76\u5b9e\u4f8b\uff0c\u4ee5\u53ca\u5b66\u751f\u5728\u8bfe\u540e\u5bf9\u9605\u8bfb\u6750\u6599\u548c\u7814\u7a76\u5b9e\u4f8b\u7684\u6574\u7406\u2014\u2014\u5236\u4f5c\u53cd\u6620\u5b66\u751f\u7406\u89e3\u548c\u601d\u8003\u7684\u6982\u5ff5\u5730\u56fe\uff0c\u4ee5\u53ca\u5728\u6b64\u57fa\u7840\u4e0a\u5b8c\u6210\u8bfe\u7a0b\u9879\u76ee\u3002\u8fd9\u95e8\u8bfe\u7a0b\u7684\u7f3a\u70b9\u662f\uff1a\u5bf9\u5b66\u751f\u7684\u7406\u89e3\u529b\u8981\u6c42\u6bd4\u8f83\u9ad8\uff0c\u5bf9\u5b66\u751f\u7684\u65f6\u95f4\u6295\u5165\u8981\u6c42\u6bd4\u8f83\u9ad8\uff0c\u5bf9\u5b66\u751f\u7684\u5b66\u4e60\u52a8\u673a\u4e5f\u6709\u8981\u6c42\u3002\u5bf9\u5b66\u672f\u611f\u5174\u8da3\u7684\u5b66\u751f\u53ef\u4ee5\u4ece\u4e2d\u5b66\u5230\u66f4\u591a\u4e1c\u897f\u3002<\/p>\n<p><strong>\u57f9\u517b\u5b66\u751f\u7684\u5b66\u4e60\u80fd\u529b\uff0c\u5e2e\u52a9\u5b66\u751f\u5b66\u4f1a\u77e5\u8bc6\u7684\u540c\u65f6\u5b66\u4f1a\u5b66\u79d1\u601d\u7ef4\u65b9\u5f0f\u4f53\u4f1a\u597d\u5b66\u79d1\u5927\u56fe\u666f\uff0c\u540c\u65f6\u9700\u8981\u5b66\u751f\u7684\u65f6\u95f4\u548c\u601d\u8003\u6df1\u5ea6\u7684\u6295\u5165\u662f\u672c\u8bfe\u7a0b\u7684\u7279\u70b9\u3002\u5982\u679c\u8fd9\u4e9b\u4e0d\u662f\u4f60\u7684\u76ee\u6807\uff0c\u6216\u8005\u4f60\u89c9\u5f97\u505a\u4e0d\u5230\u8981\u6c42\u7684\u65f6\u95f4\u548c\u601d\u7ef4\u6df1\u5ea6\uff0c\u8bf7\u4e0d\u8981\u9009\u62e9\u672c\u8bfe\u7a0b<\/strong>\u3002<\/p>\n<h3>\u6559\u5b66\u5185\u5bb9\u548c\u5b66\u65f6\u5206\u914d<\/h3>\n<ul>\n<li>\u7b2c\u96f6\u7ae0 \u8bfe\u7a0b\u76ee\u6807\u548c\u5b66\u4e60\u65b9\u6cd5\uff083\u5b66\u65f6\uff0c\u9009\u4fee\uff09<\/li>\n<ul>\n<li>0.1 \u8bfe\u7a0b\u57fa\u672c\u76ee\u6807\uff1a\u77e5\u8bc6\u76ee\u6807\u548c\u601d\u7ef4\u65b9\u5f0f\u76ee\u6807<\/li>\n<li>0.2 \u7406\u89e3\u578b\u5b66\u4e60\u65b9\u6cd5\u548c\u6982\u5ff5\u5730\u56fe<\/li>\n<ul>\n<li>0.2.1 \u6279\u5224\u6027\u601d\u7ef4\u548c\u6210\u957f\u578b\u601d\u7ef4<\/li>\n<p>\u6ca1\u6709\u7ecf\u8fc7\u6211\u81ea\u5df1\u7684\u7406\u6027\u68c0\u9a8c\uff08\u89c2\u5bdf\u5b9e\u9a8c\u6216\u8005\u8ba1\u7b97\u63a8\u7406\uff09\u7684\u4e1c\u897f\u4e0d\u80fd\u6210\u4e3a\u6211\u4e0b\u4e00\u6b65\u601d\u8003\u548c\u8ba4\u8bc6\u4e16\u754c\u7684\u57fa\u7840\u3002\u4e3e\u4f8b\uff1a\u5e73\u9762\u51e0\u4f55\uff08\u8bba\u8bc1\u4e2d\u6bcf\u4e00\u4e2a\u6b65\u9aa4\u90fd\u9700\u8981\u7406\u7531\uff0c\u90fd\u53ef\u80fd\u4e0d\u6210\u7acb\uff09\u3001\u4f3d\u5229\u7565\u5173\u4e8e\u201c\u91cd\u7269\u843d\u7684\u5feb\u201d\u7684\u8bba\u8bc1\uff08\u4e0d\u662f\u7ed3\u8bba\u5bf9\u5c31\u662f\u5bf9\u7684\uff0c\u6216\u8005\u8bba\u636e\u5bf9\u5c31\u662f\u5bf9\u7684\uff0c\u4e0d\u662f\u5927\u4eba\u7269\u8bf4\u7684\u5c31\u662f\u5bf9\u7684\uff0c\u901a\u8fc7\u66ff\u6362\u5bf9\u8c61\u6765\u8003\u5bdf\u9690\u85cf\u7684\u903b\u8f91\u5047\u8bbe\u4ee5\u53ca\u51f8\u663e\u4e8b\u7269\u7684\u672c\u8d28\u7279\u5f81\uff09<br \/>\n\u6210\u957f\u578b\u601d\u7ef4\uff1a\u505a\u4e2d\u5b66\u3001\u6559\u4e2d\u5b66\u3001\u6311\u6218\u7740\u5b66\u3001\u521b\u9020\u4e2d\u5b66\u3001\u4efb\u4f55\u65f6\u5019\u90fd\u53ef\u4ee5\u518d\u8fdb\u6b65\u3002<\/p>\n<li>0.2.2 \u7cfb\u8054\u6027\u601d\u8003<\/li>\n<p>\u672a\u77e5\u8054\u7cfb\u5df2\u77e5\u5c31\u662f\u7406\u89e3\uff0c\u6784\u5efa\u7406\u89e3\u7684\u57fa\u7840\u548c\u6846\u67b6\uff0c\u5177\u6709\u7cfb\u7edf\u6027\uff08\u6838\u5fc3\u548c\u6210\u957f\uff09\uff0c\u548c\u9010\u6761\u8bb0\u5fc6\u68c0\u7d22\u76f8\u53cd\u3002\u6ce8\u610f\uff0c\u628a\u8054\u7cfb\u8868\u8fbe\u6210\u7f51\u7edc\u548c\u77e9\u9635\u4e4b\u540e\uff0c\u8fd8\u53ef\u4ee5\u5206\u6790\u548c\u8ba1\u7b97\u8054\u7cfb\uff1a\u7cfb\u8054=\u8054\u7cfb1+\u8054\u7cfb2+\u8054\u7cfb3+\u22ef\uff0c\u4ece\u5b64\u7acb\u5230\u6709\u8054\u7cfb\uff0c\u4ece\u76f4\u63a5\u8054\u7cfb\u5230\u95f4\u63a5\u8054\u7cfb\uff0c\u4ece\u4e2a\u4f53\u5230\u6574\u4f53<\/p>\n<li>0.2.3 \u5b66\u79d1\u5927\u56fe\u666f<\/li>\n<p>\u4e00\u4e2a\u5b66\u79d1\u7684\u5178\u578b\u7814\u7a76\u5bf9\u8c61\u3001\u5178\u578b\u7814\u7a76\u95ee\u9898\u3001\u5178\u578b\u601d\u7ef4\u65b9\u5f0f\u3001\u5178\u578b\u5206\u6790\u65b9\u6cd5\u3001\u548c\u4e16\u754c\u8fd8\u6709\u5176\u4ed6\u5b66\u79d1\u7684\u5173\u7cfb\u3002<\/p>\n<li>0.2.2 \u6982\u5ff5\u5730\u56fe\u548c\u6982\u5ff5\u5730\u56fe\u7684\u5236\u4f5c<\/li>\n<\/ul>\n<li>0.3 \u79d1\u5b66\u3001\u6570\u5b66\u4e0e\u73b0\u5b9e\u7684\u5173\u7cfb<\/li>\n<ul>\n<li>0.3.1\u6570\u5b66\u4f5c\u4e3a\u8bed\u8a00<\/li>\n<p>\u601d\u8003\u7684\u8bed\u8a00\uff0c\u96c6\u5408\u3001\u6620\u5c04\u7684\u8bed\u8a00\u7684\u91cd\u8981\u6027<br \/>\n\u4e3e\u4f8b\uff1a\u201c\u82f9\u679c\u7684\u52a0\u6cd5\u8fd0\u7b97\u201d\u5230\u5e95\u662f\u5b9a\u4e49\u5728\u54ea\u4e00\u4e2a\u96c6\u5408\u4e0a\u7684\u8fd0\u7b97\uff1a\u82f9\u679c\u7684\u96c6\u5408\u3001\u82f9\u679c\u6570\u91cf\u7684\u96c6\u5408\u3001\u8fd8\u662f\u5e42\u96c6<\/p>\n<li>0.3.2 \u6570\u5b66\u4f5c\u4e3a\u7ed3\u6784<\/li>\n<p>\u4ece\u4e8b\u7269\u4e2d\u62bd\u8c61\u51fa\u5173\u7cfb\uff0c\u628a\u5173\u7cfb\u6574\u7406\u6210\u4e3a\u6570\u5b66\u7ed3\u6784\uff0c\u627e\u5230\u4e00\u4e2a\u4e8b\u7269\u81ea\u8eab\u6700\u5207\u5408\u7684\u6570\u5b66\u7ed3\u6784<br \/>\n\u4e3e\u4f8b\uff1a\u4f4d\u7f6e\u5750\u6807\u5b58\u5728\u52a0\u6cd5\u8fd0\u7b97\u5417\uff0c\u8fd8\u662f\u4f4d\u79fb\u77e2\u91cf\uff1f\u77e2\u91cf\u52a0\u6cd5\u7684\u4e00\u822c\u6027\u548c\u4e3e\u4f8b<br \/>\n\u4e3e\u4f8b\uff1a\u4ea4\u6362\u5f8b\u4e0d\u6ee1\u8db3\u7684\u64cd\u4f5c\uff08\u7ffb\u8f6c\u4e09\u89d2\u5f62\uff09\uff0c\u77e9\u9635<\/p>\n<li>0.3.3\u6570\u5b66\u5efa\u6a21<\/li>\n<p>\u7ed9\u4e8b\u7269\u7684\u72b6\u6001\uff0c\u4e8b\u7269\u7684\u72b6\u6001\u7684\u53d8\u5316\u2014\u2014\u4e5f\u5c31\u662f\u72b6\u6001\u4e0a\u7684\u64cd\u4f5c\uff0c\u627e\u6700\u5408\u9002\u7684\u6570\u5b66\u7ed3\u6784<br \/>\n\u4e3e\u4f8b\uff1a\u4f4d\u79fb\u7684\u77e2\u91cf\u6a21\u578b\uff0c\u8fd0\u52a8\u7269\u4f53\u7684\u8d28\u70b9\u6a21\u578b<br \/>\n\u4e3e\u4f8b\uff1a\u6700\u4f18\u7f16\u7801\u4e0e\u4fe1\u606f\u71b5:\u6982\u5ff5\u662f\u4ece\u73b0\u5b9e\u4e16\u754c\u91cc\u62bd\u8c61\u51fa\u6765\u7684<\/p>\n<li>0.3.4 \u79d1\u5b66\u7684\u5b9e\u7528\u4e3b\u4e49\u548c\u79d1\u5b66\u7684\u53ef\u8bc1\u4f2a\u6027<\/li>\n<p>\u79d1\u5b66\u4e3a\u73b0\u5b9e\u63d0\u4f9b\u4e86\u53ef\u8ba1\u7b97\u7684\u53ef\u8bc1\u4f2a\uff08\u4f46\u662f\u8fc4\u4eca\u4e3a\u6b62\u8fd8\u6ca1\u6709\u88ab\u8bc1\u4f2a\u7684\uff09\u5fc3\u667a\u6a21\u578b<\/p>\n<li>0.3.5 \u5f52\u7eb3\u4e0e\u6f14\u7ece\u7684\u903b\u8f91<\/li>\n<p>\u5f52\u7eb3\u7684\u4f5c\u7528\u548c\u5c40\u9650\uff0c\u5929\u4e0b\u4e4c\u9e26\u4e00\u822c\u9ed1\uff0c\u5f52\u7eb3\u5f53\u505a\u6982\u7387\u6027\u63a8\u7406\n          <\/ul>\n<\/ul>\n<li>\u7b2c\u4e00\u7ae0 \u77e2\u91cf\u7a7a\u95f4\uff083\u5b66\u65f6\u8bb2\u6388\uff09<\/li>\n<ul>\n<li>1.1 \u96c6\u5408\u6620\u5c04<\/li>\n<li>1.2 \u7fa4\u548c\u57df<\/li>\n<li>1.3\u7ebf\u6027\u6027\u548c\u7ebf\u6027\u7a7a\u95f4\u3001\u7ebf\u6027\u7a7a\u95f4\u4e0a\u7684\u7b97\u7b26<\/li>\n<li>1.4 \u5185\u79ef\u3001\u77e2\u91cf\u7a7a\u95f4\u548c\u5bf9\u5076\u77e2\u91cf\u7a7a\u95f4<\/li>\n<li>1.5 \u5384\u7c73\u7b97\u7b26\u8c31\u5b9a\u7406\u3001\u7b97\u7b26\u548c\u77e2\u91cf\u7684\u8868\u8c61\u7406\u8bba\u548cDirac\u7b26\u53f7<\/li>\n<\/ul>\n<li>\u7b2c\u4e8c\u7ae0 \u77e9\u9635\u8bba\uff0810\u5b66\u65f6\u8bb2\u6388+1\u5b66\u65f6\u4e60\u9898\u8bfe\uff09<\/li>\n<ul>\n<li>2.1 \u77e9\u9635\u7684\u672c\u5f81\u503c\u548c\u672c\u5f81\u5411\u91cf<\/li>\n<li>2.2 \u77e9\u9635\u7684\u5947\u5f02\u503c\u5206\u89e3<\/li>\n<li>2.3\u77e9\u9635\u7684\u9006\u548c\u5e7f\u4e49\u9006<\/li>\n<li>2.4 \u77e9\u9635\u7684\u8ff9\u548c\u884c\u5217\u5f0f<\/li>\n<li>2.5 Jordan\u6807\u51c6\u578b<\/li>\n<li>2.6 \u77e9\u9635\u5fae\u6270\u8bba<\/li>\n<li>2.7 Perron\u2013Frobenius\u5b9a\u7406<\/li>\n<\/ul>\n<li>\u7b2c\u4e09\u7ae0 \u6570\u503c\u7ebf\u6027\u4ee3\u6570\uff083\u5b66\u65f6\u8bb2\u6388+1\u5b66\u65f6\u4e60\u9898\u8bfe\uff09<\/li>\n<ul>\n<li>3.1 \u77e9\u9635\u76f8\u4e58\u7684Strassen\u7b97\u6cd5<\/li>\n<li>3.2 \u672c\u5f81\u503c\u95ee\u9898\u7684\u6c42\u89e3<\/li>\n<li>3.3\u7ebf\u6027\u65b9\u7a0b\u7684\u89e3<\/li>\n<li>3.4 \u5b50\u7a7a\u95f4\u8fed\u4ee3\u6c42\u89e3<\/li>\n<li>3.5\u6570\u503c\u7ebf\u6027\u4ee3\u6570\u7cfb\u7edf<\/li>\n<p>Lapack\u3001Petsc\u3001Slepc\u7b49\u6c42\u89e3\u672c\u5f81\u503c\u3001\u5947\u5f02\u503c\u3001\u7ebf\u6027\u65b9\u7a0b\u7684\u89e3\uff0c\u5e76\u884c\u7a0b\u5e8f\u8bbe\u8ba1\n        <\/ul>\n<li>\u7b2c\u56db\u7ae0 \u7ebf\u6027\u4ee3\u6570\u5e94\u7528\uff088\u5b66\u65f6\u8bb2\u6388+3\u5b66\u65f6\u8bfe\u7a0b\u9879\u76ee\u62a5\u544a\uff0c\u6309\u7167\u5b66\u751f\u60c5\u51b5\u9009\u5b66\u5176\u4e2d\u51e0\u4e2a\uff0c\u5176\u4ed6\u5f53\u505a\u8bfe\u7a0b\u9879\u76ee\uff09<\/li>\n<ul>\n<li>4.1 \u77e2\u91cf\u548c\u91cf\u5b50\u529b\u5b66<\/li>\n<p>\u77e2\u91cf\u63cf\u8ff0\u91cf\u5b50\u7cfb\u7edf\u7684\u72b6\u6001\uff0c\u77e9\u9635\u662f\u7b97\u7b26\uff0cGreen\u51fd\u6570\u548c\u77e9\u9635<\/p>\n<li>4.2 \u77e2\u91cf\u548c\u81ea\u7136\u8bed\u8a00\u5904\u7406<\/li>\n<p>\u77e2\u91cf\u8868\u793a\u8bcd\u6c47\u3001\u53e5\u5b50\u3001\u6bb5\u843d\u3001\u77e5\u8bc6\u7b49\u8bed\u8a00\u5355\u4f4d<\/p>\n<li>4.3 \u77e9\u9635\u548c\u7f51\u7edc\u8c31\u7406\u8bba<\/li>\n<p>\u7f51\u7edc\u90bb\u63a5\u77e9\u9635\u548c\u5176\u4ed6\u77e9\u9635\u7684\u672c\u5f81\u503c\u6216\u8005\u5947\u5f02\u503c\u548c\u7f51\u7edc\u7ed3\u6784\u7684\u5173\u7cfb<\/p>\n<li>4.4 \u77e9\u9635\u3001Markov\u8fc7\u7a0b\u3001PageRank\u7b97\u6cd5<\/li>\n<p>Perron\u2013Frobenius\u5b9a\u7406\uff0cMarkov\u968f\u673a\u8fc7\u7a0b\uff0c\u4e0d\u53d8\u5206\u5e03<\/p>\n<li>4.5 \u77e9\u9635\u548c\u6295\u5165\u4ea7\u51fa\u5206\u6790<\/li>\n<p>\u4ece\u76f4\u63a5\u6295\u5165\u4ea7\u51fa\u7cfb\u6570\u5230\u95f4\u63a5\u6295\u5165\u4ea7\u51fa\u7cfb\u6570\uff0c\u77e9\u9635\u5fae\u6270\u8bba\u7528\u4e8e\u6295\u5165\u4ea7\u51fa\u5206\u6790<\/p>\n<li>4.6 \u77e9\u9635\u548cIsing\u6a21\u578b<\/li>\n<p>Ising\u6a21\u578b\u7684\u8f6c\u79fb\u77e9\u9635\u6c42\u89e3<\/p>\n<li>4.7 \u77e9\u9635\u5947\u5f02\u503c\u5206\u89e3\u548c\u4e3b\u6210\u5206\u5206\u6790\uff08PCA\uff09<\/li>\n<p>\u53d6\u5c11\u6570\u51e0\u4e2a\u672c\u5f81\u77e2\u91cf\u6216\u8005\u5947\u5f02\u503c\u77e2\u91cf\u7684\u8fd1\u4f3c<\/p>\n<li>4.8 \u77e9\u9635\u5fae\u79ef\u5206\u548c\u673a\u5668\u5b66\u4e60<\/li>\n<li>4.9 \u77e9\u9635\u548c\u975e\u7ebf\u6027\u52a8\u529b\u5b66<\/li>\n<p>\u4e0d\u52a8\u70b9\u9644\u8fd1\u7684\u7ebf\u6027\u7a33\u5b9a\u6027\u5206\u6790<\/p>\n<li>4.10 \u77e9\u9635\u548c\u63a7\u5236\u8bba<\/li>\n<\/ul>\n<\/ul>\n<h3>\u6559\u6750\u4e0e\u5b66\u4e60\u8d44\u6e90<\/h3>\n<p>\u6559\u6750\uff1a<br \/>\nSheldon Axler\u300aLinear Algebra Done Right\u300b<br \/>\n\u5434\u91d1\u95ea\u300a\u7cfb\u7edf\u79d1\u5b66\u5bfc\u5f15\u300b<\/p>\n<p>\u53c2\u8003\u4e66\uff1a<br \/>\nW.I.B. Beveridge, \u300aThe Art of Scientific Investigation\u300b<br \/>\nKarl Popper \u300aThe Logic of Scientific Discovery\u300b<br \/>\nTimothy Gowers\uff0c\u300aMathematics: A Very Short Introduction\u300b<br \/>\nAlbert Einstein and Leopold Infeld\uff0c\u300aThe Evolution of Physics\u300b<br \/>\nRichard Feynman, \u300aThe Character of Physical Law\u300b<br \/>\nRichard Feynman\uff0c\u300aThe Feynman&#8217;s Lectures on Physics, III\u300b<br \/>\n\u5434\u91d1\u95ea\u300a\u6559\u7684\u66f4\u5c11\uff0c\u5b66\u5f97\u66f4\u591a\u300b<br \/>\n\u5434\u91d1\u95ea \u300a\u4e8c\u80fd\u7ea7\u4f53\u7cfb\u4e0a\u7684\u91cf\u5b50\u529b\u5b66\u300b<\/p>\n<p>\u4e94\u3001\u8003\u6838\u65b9\u5f0f<br \/>\n\u8bfe\u7a0b\u8003\u6838\u5305\u62ec\u4ee5\u4e0b\u51e0\u9879\uff1a<br \/>\n\uff081\uff09\u4f5c\u4e1a\uff0850%\uff09<br \/>\n\uff082\uff09\u8bfe\u7a0b\u9879\u76ee\uff0810%\uff09<br \/>\n\uff083\uff09\u671f\u672b\u95ed\u5377\u8003\u8bd5\uff0840%\uff09<\/p>\n<p>\u5927\u7eb2\u8d77\u8349\u4eba\uff1a\u5434\u91d1\u95ea<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8bfe\u7a0b\u540d\u79f0\uff1a \u7ebf\u6027\u4ee3\u6570 \u82f1\u6587\u540d\u79f0\uff1aLinear Algebra \u3010\u5148\u4fee\u8bfe\u8981\u6c42\u3011\u9ad8\u4e2d\u6570\u5b66\u3002\u63a8\u8350\u5df2\u7ecf\u5b66\u4e60\u8fc7\u4e00\u95e8\u7f16\u7a0b\u8bed &hellip; <a href=\"https:\/\/www.systemsci.org\/jinshanw\/2020\/09\/02\/%e3%80%8a%e7%ba%bf%e6%80%a7%e4%bb%a3%e6%95%b0%e3%80%8b%e8%af%be%e7%a8%8b%e5%a4%a7%e7%ba%b2\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u300a\u7ebf\u6027\u4ee3\u6570\u300b\u8bfe\u7a0b\u5927\u7eb2\u201d<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/5147"}],"collection":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/comments?post=5147"}],"version-history":[{"count":4,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/5147\/revisions"}],"predecessor-version":[{"id":5156,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/5147\/revisions\/5156"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/media?parent=5147"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/categories?post=5147"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/tags?post=5147"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}