{"id":1097,"date":"2017-08-05T02:16:06","date_gmt":"2017-08-05T00:16:06","guid":{"rendered":"http:\/\/darksun190.cn\/?p=1097"},"modified":"2017-08-05T02:16:06","modified_gmt":"2017-08-05T00:16:06","slug":"%e9%87%8d%e6%b8%a9%e7%ba%bf%e6%80%a7%e4%bb%a3%e6%95%b0","status":"publish","type":"post","link":"http:\/\/darksun190.cn\/blog\/?p=1097","title":{"rendered":"\u91cd\u6e29\u7ebf\u6027\u4ee3\u6570"},"content":{"rendered":"<p>\u4e4b\u524d\u51b3\u5b9a\u52a8\u624b\u5199\u4e00\u4e2a\u5e93\uff0c\u6bcf\u5f53\u6709\u7a7a\u60f3\u52a8\u624b\u5199\u7684\u65f6\u5019\u5374\u53c8\u5361\u4f4f\u4e0d\u80fd\u52a8\uff0c\u7406\u8bba\u77e5\u8bc6\u592a\u6b20\u7f3a\uff0c\u53ea\u80fd\u4ece\u57fa\u7840\u8865\u8d77\uff0c\u5728\u4eac\u4e1c\u4e0a\u4e70\u4e86\u540c\u6d4e\u7684\u4e00\u5957\u6570\u5b66\u6559\u6750\uff0c4\u672c\u5305\u62ec\u7ebf\u6027\u4ee3\u6570\uff0c\u9ad8\u6570\u4e0a\u4e0b\uff0c\u6982\u7387\u3002\u5176\u4e2d\u7ebf\u6027\u4ee3\u6570\u662f\u6211\u6700\u5173\u6ce8\u7684\uff0c\u7a7a\u95f4\u4e0a\u7684\u5750\u6807\u53d8\u6362\u5728\u8ba1\u7b97\u673a\u5b9e\u73b0\u90fd\u662f\u9760\u77e9\u9635\u3002<\/p>\n<p>\u82b1\u4e86\u4e24\u4e2a\u665a\u4e0a\uff0c\u8349\u8349\u770b\u5b8c\uff0c\u53ea\u6311\u5bf9\u81ea\u5df1\u6709\u7528\u7684\u90e8\u5206\u505a\u4e00\u4e0b\u8bb0\u5f55\u3002<\/p>\n<p>\u7b2c\u4e00\u7ae0\u662f\u77e9\u9635\u5b9a\u4e49\uff0c\u6027\u8d28\uff0c\u7ed3\u5408\u65b9\u7a0b\u7ec4\u7684\u4ecb\u7ecd\uff0c\u77e9\u9635\u7684\u53d8\u6362\u3002\u7b2c\u4e8c\u7ae0\u662f\u65b9\u9635\u7684\u884c\u5217\u5f0f(determinant)\uff0c\u5b9a\u4e49\uff0c\u6027\u8d28\uff0c\u5c55\u5f00\uff0c\u77e9\u9635\u6c42\u9006\u3002<\/p>\n<p>\u8bb0\u5f97\u5f53\u521d\u5b66\u7684\u65f6\u5019\u662f\u5148\u5b66\u7684\u884c\u5217\u5f0f\uff0c\u7136\u540e\u662f\u77e9\u9635\uff0c\u4ece\u6570\u5b66\u53f2\u7684\u53d1\u5c55\uff0c\u4e5f\u662f\u5148\u6709\u7684\u884c\u5217\u5f0f\uff0c\u7136\u540e\u624d\u6709\u77e9\u9635\u3002\u4e0d\u8fc7\u5148\u4ecb\u7ecd\u54ea\u4e2a\u90fd\u4e00\u6837\uff0c\u6559\u6750\u90fd\u628a\u884c\u5217\u5f0f\u548c\u77e9\u9635\u7ed3\u5408\u7ebf\u6027\u65b9\u7a0b\u7ec4\u6765\u4ecb\u7ecd\uff0c\u5b8c\u5168\u4e0d\u76f4\u89c2\u3002<\/p>\n<p>\u8fd9\u4e24\u7ae0\u7684\u5185\u5bb9\u5bf9\u6211\u6765\u8bf4\u610f\u4e49\u5df2\u7ecf\u4e0d\u5927\u4e86\uff0c\u76ee\u6807\u5c31\u662f\u8ba1\u7b97\u673a\u5b9e\u73b0\uff0c\u5f88\u591a\u5b9a\u4e49\u548c\u7b97\u6cd5\u90fd\u96c6\u6210\u5f97\u5f88\u597d\u4e86\uff0c\u7531\u4e8e\u5b9e\u9645\u95ee\u9898\u90fd\u662f\u6709\u89e3\u7684\uff0c\u6240\u4ee5\u5f88\u591a\u4e3a\u4e86\u9a8c\u8bc1\u6709\u89e3\u800c\u9700\u8981\u68c0\u67e5\u7684\u6b65\u9aa4\u4e5f\u4e0d\u9700\u8981\u505a\u4e86\u3002<\/p>\n<p>\u77e9\u9635\u8fd0\u7b97\u7684\u4ee3\u7801\uff0cC# with Math.Net<\/p>\n<pre class=\"lang:c# decode:true\" title=\"\u77e9\u9635\u52a0\u51cf\u6cd5\">            DenseMatrix A;\n            DenseMatrix B;\n            A = DenseMatrix.OfArray(\n                new double[,]{\n                { 3,-1,2},\n                { 2,1,-2}\n                }\n                );\n            B = DenseMatrix.OfArray(\n                new double[,]{\n                { 1,5,1},\n                { -2,-1,0}\n                }\n                );\n            Console.WriteLine((A + 2 * B).ToString());\n            Console.WriteLine((3 * A - B).ToString());\n            Console.WriteLine((A * B.Transpose()).ToString());\n            Console.WriteLine((A.Transpose() * B));<\/pre>\n<pre class=\"lang:c# decode:true \" title=\"\u77e9\u9635\u6c42\u9006\uff0c\u7ebf\u6027\u65b9\u7a0b\u7ec4\u6c42\u89e3\">            DenseMatrix A = DenseMatrix.OfArray(new double[,]\n            {\n                {1,2,3 },\n                {2,3,1 },\n                {3,1,2 }\n            });\n            Console.WriteLine(A.Inverse().ToString());\n\n            A = DenseMatrix.OfArray(new double[,]\n            {\n                {1,-1,-1 },\n                {-2,2,1 },\n                {2,-1,3 }\n            });\n            Console.WriteLine(A.Solve(DenseVector.OfArray(new double[] { -1, 1, 1 })));<\/pre>\n<p>\u7b2c\u4e09\u7ae0\u548c\u7b2c\u4e94\u7ae0\u662f\u5411\u91cf\u7a7a\u95f4\u4e0e\u7ebf\u6027\u7a7a\u95f4\uff0c\u6211\u5b9e\u5728\u4e0d\u7406\u89e3\u4e3a\u4ec0\u4e48\u56fd\u5185\u51e0\u4e4e\u6240\u6709\u7684\u6559\u6750\u90fd\u65e0\u65f6\u65e0\u523b\u4e0d\u628a\u7ebf\u6027\u65b9\u7a0b\u7ec4\u62ff\u51fa\u6765\uff0c\u770b\u8d77\u6765\u5f88\u5bb9\u6613\u5bf9\u5e94\u4e0a\uff0c\u4f46\u662f\u5e76\u4e0d\u80fd\u6fc0\u53d1\u4eba\u7684\u597d\u5947\u554a\uff0c\u5b66\u4e60\u7ebf\u6027\u4ee3\u6570\u5c31\u4e3a\u4e86\u7ed9\u65b9\u7a0b\u7ec4\u6c42\u89e3\uff1f\u771f\u4e0d\u5982\u76f4\u63a5\u8ddf\u89e3\u6790\u51e0\u4f55\u5bf9\u5e94\u4e0a\uff0c\u76f4\u89c2\uff0c\u800c\u4e14\u4e5f\u80fd\u7ed9\u5b66\u751f\u4e00\u4e9b\u671f\u671b\u503c\uff0c\u77e5\u9053\u5b66\u4e86\u4ee5\u540e\u80fd\u5e72\u4ec0\u4e48\u3002<\/p>\n<p>\u8fd9\u4e24\u7ae0\u6211\u5e76\u6ca1\u6709\u641e\u6e05\u533a\u522b\uff0c\u5411\u91cf\u7a7a\u95f4\u662f\u7ebf\u6027\u7a7a\u95f4\u7684\u7279\u6b8a\u5b50\u96c6\uff0c\u4f46\u662f\u5bf9\u6211\u6765\u8bf4\uff0c\u51e0\u4f55\u4e09\u7ef4\u7a7a\u95f4\u7528\u54ea\u4e2a\u5e76\u6ca1\u6709\u533a\u522b\u3002<\/p>\n[table \u201c1\u201d not found \/]<br \/>\n\n<p>\u4e0b\u4e00\u6b65\u7684\u5de5\u4f5c\uff0c\u7528\u4ee3\u7801\u5b9e\u73b0\u4e00\u4e9b\u5750\u6807\u548c\u5750\u6807\u7cfb\u7684\u5b9e\u73b0\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e4b\u524d\u51b3\u5b9a\u52a8\u624b\u5199\u4e00\u4e2a\u5e93\uff0c\u6bcf\u5f53\u6709\u7a7a\u60f3\u52a8\u624b\u5199\u7684\u65f6\u5019\u5374\u53c8\u5361\u4f4f\u4e0d\u80fd\u52a8\uff0c\u7406\u8bba\u77e5\u8bc6\u592a\u6b20\u7f3a\uff0c\u53ea\u80fd\u4ece\u57fa\u7840\u8865\u8d77\uff0c\u5728\u4eac\u4e1c\u4e0a\u4e70\u4e86\u540c\u6d4e\u7684 &hellip; <a href=\"http:\/\/darksun190.cn\/blog\/?p=1097\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u91cd\u6e29\u7ebf\u6027\u4ee3\u6570\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[8],"tags":[],"class_list":["post-1097","post","type-post","status-publish","format-standard","hentry","category-geo"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1097","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1097"}],"version-history":[{"count":0,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1097\/revisions"}],"wp:attachment":[{"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1097"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1097"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/darksun190.cn\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1097"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}