{"id":196129,"date":"2024-05-09T22:35:10","date_gmt":"2024-05-09T14:35:10","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/196129.html"},"modified":"2024-05-09T22:35:17","modified_gmt":"2024-05-09T14:35:17","slug":"%e5%a6%82%e4%bd%95%e8%af%81%e6%98%8egs%e7%ae%97%e6%b3%95%e6%98%af%e6%94%b6%e6%95%9b%e7%9a%84","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/196129.html","title":{"rendered":"\u5982\u4f55\u8bc1\u660eGS\u7b97\u6cd5\u662f\u6536\u655b\u7684"},"content":{"rendered":"

\"\u5982\u4f55\u8bc1\u660eGS\u7b97\u6cd5\u662f\u6536\u655b\u7684\"<\/p>\n

\u6536\u655b\u662f\u6307\u4e00\u4e2a\u5e8f\u5217\u4e0d\u65ad\u903c\u8fd1\u4e00\u4e2a\u56fa\u5b9a\u503c\uff0c\u6216\u8005\u51fd\u6570\u903c\u8fd1\u4e00\u4e2a\u786e\u5b9a\u7684\u6781\u9650\u70b9\u3002\u9ad8\u65af-\u8d5b\u5fb7\u5c14\uff08Gauss-Seidel\uff0c\u7b80\u79f0GS\uff09\u7b97\u6cd5<\/strong>\u662f\u4e00\u79cd\u8fed\u4ee3\u7b97\u6cd5\uff0c\u7528\u4e8e\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002\u53ef\u4ee5\u4ece\u6570\u5b66\u7684\u89d2\u5ea6\u8bc1\u660e\u6b64\u7b97\u6cd5\u662f\u6536\u655b\u7684\uff0c\u4f46\u8fd9\u9700\u8981\u6ee1\u8db3\u4e00\u5b9a\u7684\u6761\u4ef6\u3002\u5177\u4f53\u800c\u8a00\uff0c\u5f53\u7ebf\u6027\u7cfb\u7edf\u7684\u7cfb\u6570\u77e9\u9635\u662f\u5bf9\u89d2\u5360\u4f18\u7684\uff0c\u6216\u8005\u6b63\u5b9a\u65f6\uff0cGS\u7b97\u6cd5\u901a\u5e38\u662f\u6536\u655b\u7684\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u4eba\u4eec\u5e38\u5e38\u5229\u7528\u5145\u5206\u6761\u4ef6\u2014\u2014\u77e9\u9635\u7684\u5bf9\u89d2\u5360\u4f18\u6765\u4fdd\u8bc1\u7b97\u6cd5\u7684\u6536\u655b\u6027\u3002<\/p>\n<\/p>\n

GS\u7b97\u6cd5\u7684\u6536\u655b\u6027\u4f9d\u8d56\u4e8e\u7cfb\u7edf\u77e9\u9635\u7684\u6027\u8d28\uff0c\u7279\u522b\u662f\u77e9\u9635\u7684\u8c31\u534a\u5f84<\/strong>\u3002\u77e9\u9635\u7684\u8c31\u534a\u5f84\u662f\u6307\u5176\u7279\u5f81\u503c\u7684\u6700\u5927\u7edd\u5bf9\u503c\uff0c\u800cGS\u7b97\u6cd5\u7684\u6536\u655b\u6027\u8d28\u53ef\u4ee5\u901a\u8fc7\u77e9\u9635\u8c31\u534a\u5f84\u7684\u6027\u8d28\u6765\u5206\u6790\u3002\u5982\u679c\u8fed\u4ee3\u77e9\u9635\u7684\u8c31\u534a\u5f84\u5c0f\u4e8e1\uff0c\u90a3\u4e48GS\u7b97\u6cd5\u662f\u6536\u655b\u7684\u3002<\/p>\n<\/p>\n

\u4e00\u3001GS\u7b97\u6cd5\u7b80\u4ecb<\/h3>\n<\/p>\n

GS\u7b97\u6cd5\u662f\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u4e00\u7c7b\u91cd\u8981\u7684\u8fed\u4ee3\u65b9\u6cd5\u3002\u5b83\u7684\u57fa\u672c\u601d\u60f3\u662f\u5c06\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u89e3\u4f5c\u4e3a\u5e8f\u5217\u7684\u6781\u9650\uff0c\u901a\u8fc7\u8fed\u4ee3\u903c\u8fd1\u771f\u5b9e\u7684\u89e3\u3002\u5728\u6bcf\u4e00\u6b21\u8fed\u4ee3\u4e2d\uff0cGS\u7b97\u6cd5\u4f7f\u7528\u5f53\u524d\u5df2\u5f97\u5230\u7684\u6700\u65b0\u5206\u91cf\u6765\u66f4\u65b0\u89e3\u7684\u8fd1\u4f3c\u503c\u3002<\/p>\n<\/p>\n

\u4e8c\u3001GS\u7b97\u6cd5\u7684\u6536\u655b\u6761\u4ef6<\/h3>\n<\/p>\n

\u5bf9\u89d2\u5360\u4f18\u77e9\u9635<\/h4>\n<\/p>\n

\u5bf9\u89d2\u5360\u4f18\u662f\u6307\u7cfb\u6570\u77e9\u9635\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u7684\u5143\u7d20\u5728\u7edd\u5bf9\u503c\u4e0a\u5927\u4e8e\u540c\u884c\u5176\u4ed6\u5143\u7d20\u4e4b\u548c\u3002\u8fd9\u662f\u786e\u4fddGS\u7b97\u6cd5\u6536\u655b\u7684\u4e00\u4e2a\u5145\u5206\u6761\u4ef6\u3002\u5f53\u4e00\u4e2a\u77e9\u9635\u4e3a\u4e25\u683c\u5bf9\u89d2\u5360\u4f18\u65f6\uff0c\u53ef\u4ee5\u8bc1\u660eGS\u7b97\u6cd5\u5bf9\u4e8e\u4efb\u610f\u7684\u521d\u59cb\u5411\u91cf\u90fd\u5c06\u6536\u655b\u5230\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u552f\u4e00\u89e3\u3002<\/p>\n<\/p>\n

\u6b63\u5b9a\u6027\u6761\u4ef6<\/h4>\n<\/p>\n

\u5bf9\u4e8e\u6b63\u5b9a\u77e9\u9635\uff0c\u5373\u6240\u6709\u7684\u7279\u5f81\u503c\u90fd\u4e3a\u6b63\u503c\u7684\u77e9\u9635\uff0cGS\u7b97\u6cd5\u4e5f\u662f\u6536\u655b\u7684\u3002\u6b63\u5b9a\u6027\u610f\u5473\u7740\u7cfb\u6570\u77e9\u9635\u662f\u975e\u5947\u5f02\u7684\uff0c\u5373\u5b83\u6709\u9006\u77e9\u9635\uff0c\u8fd9\u4fdd\u8bc1\u4e86\u7ebf\u6027\u65b9\u7a0b\u7ec4\u6709\u552f\u4e00\u89e3\u3002<\/p>\n<\/p>\n

\u4e09\u3001GS\u7b97\u6cd5\u7684\u6570\u5b66\u8bc1\u660e<\/h3>\n<\/p>\n

\u8c31\u534a\u5f84\u7684\u6982\u5ff5<\/h4>\n<\/p>\n

\u9996\u5148\uff0c\u9700\u8981\u4ecb\u7ecd\u8c31\u534a\u5f84\u7684\u6982\u5ff5\u3002\u4e00\u4e2a\u65b9\u9635\u7684\u8c31\u534a\u5f84\u662f\u5176\u7279\u5f81\u503c\u7684\u6700\u5927\u7edd\u5bf9\u503c\u3002\u5728GS\u7b97\u6cd5\u4e2d\uff0c\u901a\u8fc7\u5bf9\u7cfb\u6570\u77e9\u9635\u8fdb\u884c\u5206\u89e3\uff0c\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u8fed\u4ee3\u77e9\u9635\uff0c\u5176\u8c31\u534a\u5f84\u76f4\u63a5\u5173\u7cfb\u5230GS\u7b97\u6cd5\u662f\u5426\u6536\u655b\u3002<\/p>\n<\/p>\n

\u6536\u655b\u6027\u5206\u6790<\/h4>\n<\/p>\n

\u6536\u655b\u6027\u7684\u5206\u6790\u901a\u5e38\u4f1a\u6d89\u53ca\u5230\u77e9\u9635\u7684\u5206\u89e3\u548c\u8fed\u4ee3\u77e9\u9635\u7684\u7279\u5f81\u503c\u8ba1\u7b97\u3002\u901a\u8fc7\u4e25\u683c\u7684\u6570\u5b66\u63a8\u5bfc\uff0c\u53ef\u4ee5\u5f97\u5230GS\u7b97\u6cd5\u7684\u8fed\u4ee3\u77e9\u9635\u8c31\u534a\u5f84\u5c0f\u4e8e1\u7684\u7ed3\u8bba\uff0c\u8fd9\u610f\u5473\u7740GS\u7b97\u6cd5\u662f\u6536\u655b\u7684\u3002<\/p>\n<\/p>\n

\u56db\u3001\u5f71\u54cdGS\u7b97\u6cd5\u6536\u655b\u901f\u5ea6\u7684\u56e0\u7d20<\/h3>\n<\/p>\n

\u5c3d\u7ba1GS\u7b97\u6cd5\u5177\u6709\u6536\u655b\u6027\uff0c\u6536\u655b\u901f\u5ea6\u5374\u662f\u4e0d\u53ef\u5ffd\u89c6\u7684\u3002\u5f71\u54cd\u6536\u655b\u901f\u5ea6\u7684\u56e0\u7d20\u5305\u62ec\u7cfb\u6570\u77e9\u9635\u7684\u6761\u4ef6\u6570\u3001\u521d\u59cb\u89e3\u7684\u9009\u62e9\u548c\u8fed\u4ee3\u77e9\u9608\u7684\u5927\u5c0f\u7b49\u3002\u4e00\u4e2a\u5dee\u7684\u6761\u4ef6\u6570\u6216\u662f\u4e0d\u5408\u9002\u7684\u521d\u59cb\u89e3\u90fd\u53ef\u80fd\u5bfc\u81f4GS\u7b97\u6cd5\u6536\u655b\u8fc7\u6162\uff0c\u800c\u4e00\u4e2a\u5408\u7406\u7684\u6536\u655b\u5224\u5b9a\u6807\u51c6\u80fd\u4fdd\u8bc1\u7b97\u6cd5\u5728\u9002\u5f53\u7684\u65f6\u95f4\u5185\u7ec8\u6b62\u3002<\/p>\n<\/p>\n

\u7cfb\u6570\u77e9\u9635\u6761\u4ef6\u6570<\/h4>\n<\/p>\n

\u6761\u4ef6\u6570\u53cd\u6620\u4e86\u77e9\u9635\u7684\u654f\u611f\u5ea6\uff0c\u5f53\u7cfb\u6570\u77e9\u9635\u7684\u6761\u4ef6\u6570\u8f83\u5927\u65f6\uff0c\u7b97\u6cd5\u6536\u655b\u901f\u5ea6\u53ef\u80fd\u4f1a\u8f83\u6162\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u9009\u62e9\u5408\u9002\u7684\u6761\u4ef6\u6570\u662f\u975e\u5e38\u91cd\u8981\u7684\u3002<\/p>\n<\/p>\n

\u521d\u59cb\u89e3\u7684\u9009\u62e9<\/h4>\n<\/p>\n

\u521d\u59cb\u89e3\u7684\u9009\u62e9\u5bf9\u4e8eGS\u7b97\u6cd5\u7684\u6536\u655b\u901f\u5ea6\u6709\u5f88\u5927\u5f71\u54cd\u3002\u4e00\u4e2a\u597d\u7684\u521d\u59cb\u89e3\u53ef\u4ee5\u663e\u8457\u51cf\u5c11GS\u7b97\u6cd5\u8fbe\u5230\u4e00\u5b9a\u7cbe\u5ea6\u6240\u9700\u7684\u8fed\u4ee3\u6b21\u6570\u3002<\/p>\n<\/p>\n

\u4e94\u3001\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u8003\u91cf<\/h3>\n<\/p>\n

\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0cGS\u7b97\u6cd5\u9664\u4e86\u9700\u8981\u4fdd\u8bc1\u6536\u655b\u6027\u4e4b\u5916\uff0c\u8fd8\u9700\u8981\u5173\u6ce8\u5176\u6570\u503c\u7a33\u5b9a\u6027\u548c\u8ba1\u7b97\u6548\u7387\u3002\u56e0\u6b64\uff0c\u9664\u4e86\u4e25\u683c\u7684\u6570\u5b66\u8bc1\u660e\uff0c\u8fd8\u9700\u8981\u7efc\u5408\u8003\u8651\u7b97\u6cd5\u5728\u5177\u4f53\u95ee\u9898\u4e2d\u7684\u8868\u73b0\u5f62\u5f0f\u3002<\/p>\n<\/p>\n

\u6570\u503c\u7a33\u5b9a\u6027<\/h4>\n<\/p>\n

\u6570\u503c\u7a33\u5b9a\u6027\u662f\u6307\u7b97\u6cd5\u5728\u6570\u503c\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u80fd\u5426\u6291\u5236\u56e0\u820d\u5165\u9519\u8bef\u7b49\u539f\u56e0\u5f15\u8d77\u7684\u8bef\u5dee\u4f20\u64ad\u3002\u5728\u8bbe\u8ba1GS\u7b97\u6cd5\u7684\u8fed\u4ee3\u8fc7\u7a0b\u65f6\uff0c\u9700\u8981\u786e\u4fdd\u6570\u503c\u7a33\u5b9a\u6027\u3002<\/p>\n<\/p>\n

\u8ba1\u7b97\u6548\u7387<\/h4>\n<\/p>\n

\u5728\u4fdd\u8bc1\u6536\u655b\u6027\u548c\u6570\u503c\u7a33\u5b9a\u6027\u7684\u57fa\u7840\u4e0a\uff0c\u63d0\u9ad8\u8ba1\u7b97\u6548\u7387\u662f\u5b9e\u9645\u5e94\u7528\u4e2d\u4e0d\u53ef\u6216\u7f3a\u7684\u90e8\u5206\u3002\u91c7\u7528\u5408\u7406\u7684\u8fed\u4ee3\u6b65\u9aa4\u548c\u4f18\u5316\u7b97\u6cd5\u7ed3\u6784\u80fd\u591f\u51cf\u5c11\u8ba1\u7b97\u8d44\u6e90\u7684\u6d88\u8017\uff0c\u63d0\u9ad8\u8fd0\u7b97\u901f\u5ea6\u3002<\/p>\n<\/p>\n

\u7efc\u4e0a\u6240\u8ff0\uff0c\u9ad8\u65af-\u8d5b\u5fb7\u5c14\u7b97\u6cd5\u7684\u6536\u655b\u6027\u548c\u8ba1\u7b97\u6548\u7387\u662f\u80fd\u5426\u6210\u529f\u5e94\u7528\u4e8e\u5b9e\u9645\u95ee\u9898\u7684\u5173\u952e<\/strong>\u3002\u5728\u4fdd\u8bc1\u4e86\u77e9\u9635\u6ee1\u8db3\u6536\u655b\u6761\u4ef6\u7684\u57fa\u7840\u4e0a\uff0c\u6b63\u786e\u5730\u9009\u62e9\u521d\u59cb\u89e3\u548c\u638c\u63e1\u8fed\u4ee3\u7ec8\u6b62\u6761\u4ef6\uff0c\u53ef\u4ee5\u6781\u5927\u63d0\u5347GS\u7b97\u6cd5\u7684\u5b9e\u7528\u4ef7\u503c\u3002<\/p>\n<\/p>\n

\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n

1. GS\u7b97\u6cd5\u6536\u655b\u7684\u4e3b\u8981\u8bc1\u660e\u65b9\u6cd5\u6709\u54ea\u4e9b\uff1f<\/strong><\/p>\n

GS\u7b97\u6cd5\u7684\u6536\u655b\u6027\u53ef\u4ee5\u901a\u8fc7\u591a\u79cd\u8bc1\u660e\u65b9\u6cd5\u8fdb\u884c\u9a8c\u8bc1\u3002\u5176\u4e2d\u4e00\u79cd\u5e38\u7528\u7684\u65b9\u6cd5\u662f\u4f7f\u7528\u683c\u5b50\u8bba\u8bc1\u3002\u683c\u5b50\u8bba\u8bc1\u9996\u5148\u5047\u8bbe\u7b97\u6cd5\u7684\u89e3\u6536\u655b\u5230\u4e00\u4e2a\u56fa\u5b9a\u7684\u7a33\u5b9a\u72b6\u6001\uff0c\u5e76\u57fa\u4e8e\u6b64\u56fa\u5b9a\u72b6\u6001\u8fdb\u884c\u63a8\u5bfc\u3002\u53e6\u5916\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u77e9\u9635\u8bba\u8bc1\u548c\u8bef\u5dee\u5206\u6790\u7b49\u65b9\u6cd5\u8fdb\u884c\u8bc1\u660e\u3002<\/p>\n

2. GS\u7b97\u6cd5\u6536\u655b\u901f\u5ea6\u6709\u54ea\u4e9b\u5f71\u54cd\u56e0\u7d20\uff1f<\/strong><\/p>\n

GS\u7b97\u6cd5\u7684\u6536\u655b\u901f\u5ea6\u53d7\u5230\u591a\u4e2a\u56e0\u7d20\u7684\u5f71\u54cd\u3002\u5176\u4e2d\u6700\u4e3b\u8981\u7684\u56e0\u7d20\u662f\u95ee\u9898\u7684\u7279\u5f81\uff0c\u5373\u95ee\u9898\u7684\u77e9\u9635\u7279\u6027\u548c\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u6761\u4ef6\u6570\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u5982\u679c\u95ee\u9898\u662f\u826f\u597d\u6761\u4ef6\u7684\uff0c\u6536\u655b\u901f\u5ea6\u5c31\u4f1a\u8f83\u5feb\uff1b\u800c\u82e5\u95ee\u9898\u6761\u4ef6\u8f83\u5dee\uff0c\u6536\u655b\u901f\u5ea6\u5219\u4f1a\u8f83\u6162\u3002\u6b64\u5916\uff0c\u521d\u59cb\u731c\u6d4b\u7684\u9009\u62e9\u3001\u8fed\u4ee3\u6b21\u6570\u548c\u8fed\u4ee3\u8bef\u5dee\u7684\u63a7\u5236\u7b49\u4e5f\u4f1a\u5bf9\u6536\u655b\u901f\u5ea6\u4ea7\u751f\u5f71\u54cd\u3002<\/p>\n

3. \u4f7f\u7528GS\u7b97\u6cd5\u65f6\u53ef\u80fd\u51fa\u73b0\u7684\u6536\u655b\u6027\u95ee\u9898\u6709\u54ea\u4e9b\u89e3\u51b3\u65b9\u6cd5\uff1f<\/strong><\/p>\n

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