{"id":2809,"date":"2023-11-06T18:17:57","date_gmt":"2023-11-06T09:17:57","guid":{"rendered":"http:\/\/mepa.jsiam.org\/?page_id=2809"},"modified":"2024-03-01T15:47:13","modified_gmt":"2024-03-01T06:47:13","slug":"%e6%97%a5%e6%9c%ac%e5%bf%9c%e7%94%a8%e6%95%b0%e7%90%86%e5%ad%a6%e4%bc%9a-2024%e5%b9%b4%e7%a0%94%e7%a9%b6%e9%83%a8%e4%bc%9a%e9%80%a3%e5%90%88%e7%99%ba%e8%a1%a8%e4%bc%9a","status":"publish","type":"page","link":"http:\/\/mepa.jsiam.org\/?page_id=2809","title":{"rendered":"\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2024\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a"},"content":{"rendered":"\n<h2>\u958b\u50ac\u6982\u8981<\/h2>\n\n\n\n<ul>\n<li>\u65e5\u7a0b\uff1a2024\u5e743\u67084\u65e5\uff08\u6708\uff09\uff5e6\u65e5\uff08\u6c34\uff09<\/li>\n\n\n\n<li>\u4f1a\u5834\uff1a\u9577\u5ca1\u6280\u8853\u79d1\u5b66\u5927\u5b66<\/li>\n\n\n\n<li>\u958b\u50ac\u65b9\u5f0f\uff1a\u5bfe\u9762\u5f62\u5f0f<\/li>\n\n\n\n<li>\u9023\u5408\u767a\u8868\u4f1aweb\u30da\u30fc\u30b8\uff1a<a href=\"https:\/\/jsiam.org\/union2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/jsiam.org\/union2024\/<\/a><\/li>\n<\/ul>\n\n\n\n<h2>\u30d7\u30ed\u30b0\u30e9\u30e0<\/h2>\n\n\n\n<p><strong>3\u67085\u65e5 (\u706b)\u3000C\u4f1a\u5834<\/strong><\/p>\n\n\n\n<p><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528 (1)\u3000\uff089:40 &#8211; 10:40\uff09\u3000\u5ea7\u9577\uff1a\u76f8\u539f \u7814\u8f14\uff08\u6771\u4eac\u90fd\u5e02\u5927\u5b66\uff09<\/strong><\/p>\n\n\n\n<p>09:40 &#8211; 10:00<br>gap\u5b9a\u7406\u306b\u5bfe\u3059\u308b\u5225\u8a3c\u660e<br>\u25cb\u5c71\u4e2d \u4f51\u592a\uff08\u5ca9\u624b\u5927\u5b66\uff09, \u5bae\u5cf6 \u4fe1\u4e5f\uff08\u5ca9\u624b\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>\n\u5b9f\u5bfe\u79f0\u884c\u5217\u306e\u8fd1\u4f3c\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306b\u5bfe\u3059\u308b\u8aa4\u5dee\u8a55\u4fa1\u5f0f\u3068\u3057\u3066, gap\u5b9a\u7406\u304c\u77e5\u3089\u308c\u3066\u3044\u308b. \u3053\u306e\u5b9a\u7406\u306e\u8a3c\u660e\u306f\u96e3\u89e3\u3067\u3042\u308a, \u30d5\u30a9\u30ed\u30fc\u3059\u308b\u306e\u304c\u5927\u5909\u3067\u3042\u308b. \u672c\u8b1b\u6f14\u3067\u306f, \u3053\u306e\u5b9a\u7406\u306b\u5bfe\u3059\u308b\u7c21\u5358\u306a\u8a3c\u660e\u3092\u4e0e\u3048\u308b.\n<\/p>\n<\/blockquote>\n\n\n<p>10:00 &#8211; 10:20<br>\u975e\u8ca0\u884c\u5217\u306ePerron\u6839\u306b\u5bfe\u3059\u308b\u4e0b\u9650\u306e\u5358\u8abf\u5897\u52a0\u6027<br>\u25cb\u5927\u53cb \u6d77\u6597\uff08\u5ca9\u624b\u5927\u5b66\uff09, \u5bae\u5cf6 \u4fe1\u4e5f\uff08\u5ca9\u624b\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>Collatz\u306e\u5b9a\u7406\u306f\u975e\u8ca0\u884c\u5217\u306ePerron\u6839\u306b\u5bfe\u3059\u308b\u4e0a\u9650\u30fb\u4e0b\u9650\u3092\u4e0e\u3048\u308b. Adam\u3089\u306f\u3053\u306e\u5b9a\u7406\u3092\u62e1\u5f35\u3057, \u6570\u5217\u306e\u5f62\u3067Perron\u6839\u306b\u5bfe\u3059\u308b\u4e0a\u9650\u30fb\u4e0b\u9650\u3092\u4e0e\u3048\u3066\u3044\u308b. \u3055\u3089\u306b, Adam\u3089\u306f\u4e0a\u9650\u3068\u306a\u3063\u3066\u3044\u308b\u6570\u5217\u304c\u5358\u8abf\u6e1b\u5c11\u3059\u308b\u90e8\u5206\u5217\u3092\u3082\u3064\u3053\u3068\u3092\u8a3c\u660e\u3057\u3066\u3044\u308b. \u4e00\u65b9, \u4e0b\u9650\u3068\u306a\u3063\u3066\u3044\u308b\u6570\u5217\u306b\u3064\u3044\u3066\u306f, \u4e0a\u9650\u306e\u6570\u5217\u304c\u3082\u3064\u6027\u8cea\u306b\u5bfe\u5fdc\u3059\u308b\u3088\u3046\u306a\u7d50\u679c\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u306a\u3044. \u672c\u8b1b\u6f14\u3067\u306f, \u4e0b\u9650\u306e\u6570\u5217\u304c\u5358\u8abf\u5897\u52a0\u3059\u308b\u90e8\u5206\u5217\u3092\u3082\u3064\u3053\u3068\u3092\u8a3c\u660e\u3059\u308b.\n<\/p>\n<\/blockquote>\n\n\n<p>10:20 &#8211; 10:40<br>\u30af\u30ed\u30cd\u30c3\u30ab\u30fc\u69cb\u9020\u3092\u3082\u3064\u5927\u898f\u6a21\u884c\u5217\u306e\u884c\u5217\u95a2\u6570\u306e\u30c8\u30ec\u30fc\u30b9\u306b\u5bfe\u3059\u308b\u6570\u5024\u7684\u691c\u8a3c\u6cd5<br>\u25cb\u9ed2\u7530 \u65e9\u7d00\uff08\u5ca9\u624b\u5927\u5b66\uff09, \u5bae\u5cf6 \u4fe1\u4e5f\uff08\u5ca9\u624b\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>\u5fdc\u7528\u4e0a, \u884c\u5217\u95a2\u6570\u306e\u5024\u305d\u306e\u3082\u306e\u3067\u306f\u306a\u304f, \u305d\u306e\u5024\u306e\u30c8\u30ec\u30fc\u30b9\u304c\u6c42\u3081\u3089\u308c\u308b\u3053\u3068\u304c\u3042\u308b. \u3053\u306e\u5834\u5408, \u5165\u529b\u884c\u5217\u304c\u30af\u30ed\u30cd\u30c3\u30ab\u30fc\u548c\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u591a\u3044. \u672c\u8b1b\u6f14\u3067\u306f, \u5165\u529b\u884c\u5217\u304c\u30af\u30ed\u30cd\u30c3\u30ab\u30fc\u548c\u306e\u5f62\u3092\u3057\u3066\u3044\u308b\u5834\u5408\u306b\u304a\u3051\u308b, \u3053\u306e\u30c8\u30ec\u30fc\u30b9\u306b\u5bfe\u3059\u308b\u6570\u5024\u7684\u691c\u8a3c\u6cd5\u3092\u63d0\u6848\u3059\u308b. \u65e2\u5b58\u306e\u6570\u5024\u7684\u691c\u8a3c\u6cd5\u3092\u5229\u7528\u3059\u308b\u3068\u5165\u529b\u884c\u5217\u306e\u30b5\u30a4\u30ba\u306e3\u4e57\u306b\u6bd4\u4f8b\u3059\u308b\u6f14\u7b97\u56de\u6570\u304c\u5fc5\u8981\u3068\u306a\u308b\u304c, \u63d0\u6848\u3059\u308b\u624b\u6cd5\u306f2\u4e57\u306b\u6bd4\u4f8b\u3059\u308b\u6f14\u7b97\u56de\u6570\u3067\u5b9f\u884c\u53ef\u80fd\u3067\u3042\u308b.\n<\/p>\n<\/blockquote>\n\n\n<p><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528 (2)\u3000\uff0811:10 &#8211; 12:30\uff09\u3000\u5ea7\u9577\uff1a\u4f50\u85e4 \u5bdb\u4e4b\uff08\u4eac\u90fd\u5927\u5b66\uff09<\/strong><\/p>\n\n\n\n<p>11:10 &#8211; 11:30<br>Koopman\u4f5c\u7528\u7d20\u306b\u5bfe\u3059\u308bKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u3068\u305d\u306eHilbert C*-module\u3078\u306e\u62e1\u5f35<br>\u25cb\u6a4b\u672c \u60a0\u9999\uff08\u65e5\u672c\u96fb\u4fe1\u96fb\u8a71\u682a\u5f0f\u4f1a\u793e\uff09<\/p>\n\n\n<blockquote>\n<p>Koopman\u4f5c\u7528\u7d20\u306f\u5199\u50cf\u306e\u5408\u6210\u3092\u8868\u73fe\u3059\u308b\u7dda\u5f62\u4f5c\u7528\u7d20\u3067\uff0c\u529b\u5b66\u7cfb\u304b\u3089\u751f\u3058\u305f\u6642\u7cfb\u5217\u30c7\u30fc\u30bf\u306e\u89e3\u6790\u7b49\u306b\u7528\u3044\u3089\u308c\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0cKoopman\u4f5c\u7528\u3092\uff0cKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u3092\u7528\u3044\u3066\uff0c\u4e0e\u3048\u3089\u308c\u305f\u30c7\u30fc\u30bf\u306e\u307f\u304b\u3089\u8fd1\u4f3c\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3059\u308b\uff0e\u901a\u5e38\u306eKoopman\u4f5c\u7528\u7d20\u306fHilbert\u7a7a\u9593\u4e0a\u3067\u5b9a\u7fa9\u3055\u308c\uff0cKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u3082Hilbert\u7a7a\u9593\u4e0a\u3067\u884c\u308f\u308c\u308b\u304c\uff0c\u305d\u308c\u3092Hilbert C*-module\u3078\u62e1\u5f35\u3059\u308b\u3053\u3068\u306b\u3064\u3044\u3066\u3082\u8b70\u8ad6\u3059\u308b\uff0e\n<\/p>\n<\/blockquote>\n\n\n<p>11:30 &#8211; 11:50<br>JetDMD: \u8264\u88c5\u518d\u751f\u6838Hilbert\u7a7a\u9593\u306b\u304a\u3051\u308bKoopman\u4f5c\u7528\u7d20\u306e\u30c7\u30fc\u30bf\u99c6\u52d5\u7684\u306a\u63a8\u5b9a\u3068\u305d\u306e\u5fdc\u7528<br>\u25cb\u77f3\u5ddd \u52f3\uff08\u611b\u5a9b\u5927\u5b66\uff09, \u6a4b\u672c \u60a0\u9999\uff08\u65e5\u672c\u96fb\u4fe1\u96fb\u8a71\u682a\u5f0f\u4f1a\u793e\uff09, \u6c60\u7530 \u6b63\u5f18\uff08\u7406\u5316\u5b66\u7814\u7a76\u6240\uff09, \u6cb3\u539f \u5409\u4f38\uff08\u5927\u962a\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>\u672c\u8b1b\u6f14\u3067\u306f\u518d\u751f\u6838Hilbert\u7a7a\u9593\u4e0a\u5b9a\u7fa9\u3055\u308c\u305fKoopman\u4f5c\u7528\u7d20\u306b\u3064\u3044\u3066\u3001\u6700\u8fd1\u5f97\u3089\u308c\u305f\u65b0\u3057\u3044\u30c7\u30fc\u30bf\u99c6\u52d5\u7684\u306a\u63a8\u5b9a\u624b\u6cd5\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3059\u308b\u3002\u518d\u751f\u6838Hilbert\u7a7a\u9593\u306b\u3001\u529b\u5b66\u7cfb\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u9069\u5207\u306a\u8264\u88c5\u69cb\u9020\uff08Gelfand triple\uff09\u3092\u8003\u3048\u308b\u3053\u3068\u3067\u3001\u30c7\u30fc\u30bf\u99c6\u52d5\u7684\u306a\u6587\u8108\u306b\u304a\u3044\u3066Koopman\u4f5c\u7528\u7d20\u306e\u9069\u5207\u306a\u6709\u9650\u6b21\u5143\u8fd1\u4f3c\u3084\u305d\u306e\u6570\u5b66\u7684\u306a\u89e3\u91c8\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002\u307e\u305f\u3001\u305d\u306e\u5fdc\u7528\u3068\u3057\u3066\u529b\u5b66\u7cfb\u306e\u96e2\u6563\u7684\u306a\u30c7\u30fc\u30bf\u304b\u3089\u5143\u306e\u529b\u5b66\u7cfb\u3092\u518d\u69cb\u6210\u3059\u308b\u624b\u6cd5\u306b\u3064\u3044\u3066\u3082\u7d39\u4ecb\u3059\u308b\u3002\n<\/p>\n<\/blockquote>\n\n\n<p>11:50 &#8211; 12:10<br>\u4e3b\u6210\u5206\u5206\u6790\u306e\u305f\u3081\u306eOQDS\u6cd5\u306e\u5b9f\u88c5\u306e\u4fee\u6b63\u306b\u3064\u3044\u3066<br>\u25cb\u5343\u4ee3\u5ef6 \u672a\u5e06\uff08\u5948\u826f\u5973\u5b50\u5927\u5b66\u5927\u5b66\u9662\uff09, \u9ad9\u7530 \u96c5\u7f8e\uff08\u5948\u826f\u5973\u5b50\u5927\u5b66\uff09, \u6728\u6751 \u6b23\u53f8\uff08\u798f\u4e95\u5927\u5b66\uff09, \u4e2d\u6751 \u4f73\u6b63\uff08\u5927\u962a\u6210\u8e4a\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>\u4e3b\u6210\u5206\u5206\u6790\u3067\u306f\u3001\u5927\u304d\u3044\u307b\u3046\u304b\u3089\u6570\u500b\u306e\u7279\u7570\u5024\u3068\u7279\u7570\u30d9\u30af\u30c8\u30eb\u304c\u5fc5\u8981\u306b\u306a\u308b\u3002\u305d\u306e\u76ee\u7684\u306e\u305f\u3081\u306b\u3001\u62e1\u5927\u884c\u5217\u306b\u5bfe\u3059\u308b\uff12\u5206\u6cd5\u3068\u9006\u53cd\u5fa9\u6cd5\u306e\u7d44\u307f\u5408\u308f\u305b\u304c\u5229\u7528\u3055\u308c\u308b\u304c\u3001glued Kimura\u884c\u5217\u306e\u3088\u3046\u306b\u9006\u53cd\u5fa9\u6cd5\u304c\u5931\u6557\u3059\u308b\u5165\u529b\u884c\u5217\u3082\u5b58\u5728\u3059\u308b\u3002OQDS\u6cd5\u306f\u3001\u8a08\u7b97\u9014\u4e2d\u3067\u884c\u5217\u304c\u5206\u5272\u3055\u308c\u306a\u3051\u308c\u3070\u3001\u4e0b\uff12\u91cd\u5bfe\u89d2\u884c\u5217\u306e\u5c0f\u3055\u3044\u307b\u3046\u304b\u3089\u6570\u500b\u306e\u7279\u7570\u5024\u3068\u53f3\u7279\u7570\u30d9\u30af\u30c8\u30eb\u3092\u9ad8\u7cbe\u5ea6\u306b\u8a08\u7b97\u3067\u304d\u308b\u304c\u3001\u4e3b\u6210\u5206\u5206\u6790\u3078\u5fdc\u7528\u3059\u308b\u5834\u5408\u306b\u306f\u4e0d\u90fd\u5408\u3067\u3042\u308a\u3001OQDS\u6cd5\u306e\u5b9f\u88c5\u3092\u4fee\u6b63\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\n<\/p>\n<\/blockquote>\n\n\n<p>12:10 &#8211; 12:30<br>\u8b1b\u6f14\u30ad\u30e3\u30f3\u30bb\u30eb<br><s>\u4f4e\u30e9\u30f3\u30af\u884c\u5217\u3092\u4fc2\u6570\u884c\u5217\u3068\u3059\u308b\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u4e00\u81f4\u63a8\u5b9a\u91cf\u306b\u3064\u3044\u3066<br>\u25cb\u76f8\u5cf6 \u5065\u52a9\uff08\u6cd5\u653f\u5927\u5b66\uff09<\/s><\/p>\n\n\n<blockquote>\n<p><s>\u8aac\u660e\u5909\u6570\u304c\u8aa4\u5dee\u3092\u542b\u3080\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u63a8\u5b9a\u3092\u8003\u3048\u308b\uff0e\u3053\u306e\u3088\u3046\u306a\u30d1\u30e9\u30e1\u30fc\u30bf\u63a8\u5b9a\u3067\u306f\uff0c\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306b\u95a2\u9023\u3059\u308b\u4f55\u3089\u304b\u306e\u6700\u9069\u5316\u624b\u6cd5\u3092\u7528\u3044\u308b\u3053\u3068\u304c\u6a19\u6e96\u7684\u3067\u3042\u308b\uff0e\u305d\u306e\u969b\uff0c\u8a08\u7b97\u5bfe\u8c61\u3068\u306a\u308b\u4fc2\u6570\u884c\u5217\u304c\u30e9\u30f3\u30af\u843d\u3061\u3059\u308b\u5834\u5408\uff0c\u89e3\u306e\u4e00\u610f\u6027\u304c\u640d\u306a\u308f\u308c\uff0c\u901a\u5e38\u306f\u6700\u5c0f\u30ce\u30eb\u30e0\u89e3\u3092\u6570\u5024\u8a08\u7b97\u3059\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0c\u3053\u306e\u3088\u3046\u306b\u89e3\u304c\u96c6\u5408\u3092\u306a\u3059\u5834\u5408\u306b\uff0c\u901a\u5e38\u306e\u6700\u9069\u5316\u8a08\u7b97\u306e\u4e2d\u3067\u5f97\u3089\u308c\u308b\u89e3\u96c6\u5408\u304c\uff0c\u63a8\u5b9a\u3059\u3079\u304d\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u89e3\u96c6\u5408\u306b\u5bfe\u3059\u308b\u5f37\u53ce\u675f\u306e\u610f\u5473\u3067\u306e\u4e00\u81f4\u63a8\u5b9a\u91cf\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\uff0e<\/s><\/p>\n<\/blockquote>\n\n\n<p><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528 (3)\u3000\uff0813:50 &#8211; 15:10\uff09\u3000\u5ea7\u9577\uff1a\u5ee3\u7530 \u60a0\u8f14\uff08\u798f\u4e95\u5927\u5b66\uff09<\/strong><\/p>\n\n\n\n<p>13:50 &#8211; 14:10<br>T-Sylvester\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u6b8b\u5dee\u6700\u5c0f\u5316\u578b\u5c04\u5f71\u6cd5\u306e\u9069\u7528<br>\u25cb\u4f50\u7af9 \u7950\u6a39\uff08\u5317\u6d77\u9053\u5927\u5b66\uff09, \u66fd\u6211\u90e8 \u77e5\u5e83\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>\u5927\u898f\u6a21\u884c\u5217\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u6570\u5024\u89e3\u6cd5\u3068\u3057\u3066\uff0c\u76f4\u4ea4\u6761\u4ef6\u7b49\u3092\u8ab2\u3057\u3066\u9069\u5f53\u306a\u90e8\u5206\u7a7a\u9593\u306b\u5c04\u5f71\u3059\u308b\u3053\u3068\u3067\u5c0f\u898f\u6a21\u306a\u554f\u984c\u306b\u5e30\u7740\u3055\u305b\u308b\u624b\u6cd5\uff08\u5c04\u5f71\u6cd5\uff09\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0c\u884c\u5217\u65b9\u7a0b\u5f0f\u306e\u4e00\u7a2e\u3067\u3042\u308bT-Sylvester\u65b9\u7a0b\u5f0f\uff08T-congruence Sylvester\u65b9\u7a0b\u5f0f\uff09\u304c\u3042\u308b\u6761\u4ef6\u4e0b\u306b\u304a\u3044\u3066\u7b49\u4fa1\u306aLyapunov\u65b9\u7a0b\u5f0f\u306b\u5909\u63db\u3067\u304d\u308b\u3053\u3068\u3092\u5229\u7528\u3057\u3066\uff0cT-Sylvester\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u6b8b\u5dee\u6700\u5c0f\u6761\u4ef6\u3092\u8ab2\u3057\u305f\u5c04\u5f71\u6cd5\u3092\u63d0\u6848\u3059\u308b\uff0e\n<\/p>\n<\/blockquote>\n\n\n<p>14:10 &#8211; 14:30<br>On breakdown of GMRES for non-range-symmetric systems<br>\u25cb\u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09, \u6749\u539f \u5149\u592a\uff08\u306a\u3057\uff09<\/p>\n\n\n<blockquote>\n<p>We show that for non-range-symmetric systems of linear equations, Ax=b, where A is a real square matrix, and R(A) is not equal to R(A^T) , where R(A) is the range space of A, the Generalized Minimal Residual (GMRES) method can break down without giving a least squares solution at an arbitrary iteration step in exact arithmetic, and give examples.\n<\/p>\n<\/blockquote>\n\n\n<p>14:30 &#8211; 14:50<br>\u76f8\u4e92\u4f5c\u7528\u578b\u6b8b\u5dee\u30b9\u30e0\u30fc\u30b8\u30f3\u30b0\u306b\u304a\u3051\u308b\u8fd1\u4f3c\u89e3\u30ce\u30eb\u30e0\u306e\u5f71\u97ff\u306b\u3064\u3044\u3066<br>\u25cb\u76f8\u539f \u7814\u8f14\uff08\u6771\u4eac\u90fd\u5e02\u5927\u5b66\uff09, \u4eca\u5009 \u6681\uff08\u7b51\u6ce2\u5927\u5b66\uff09, \u4fdd\u570b \u60e0\u4e00\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>\u76f8\u4e92\u4f5c\u7528\u578b\u6b8b\u5dee\u30b9\u30e0\u30fc\u30b8\u30f3\u30b0\u306f\uff0c\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308bLanczos\u578b\u53cd\u5fa9\u6cd5\u306e\u6b8b\u5dee\u30ce\u30eb\u30e0\u3092\u5e73\u6ed1\u5316\u3059\u308b\u3053\u3068\u3067\uff0cresidual gap\uff08\u6f38\u5316\u5f0f\u304b\u3089\u6c42\u307e\u308b\u6b8b\u5dee\u3068\u771f\u306e\u6b8b\u5dee\u3068\u306e\u5dee\uff09\u306e\u62e1\u5927\u3092\u6291\u5236\u3059\u308b\u624b\u6cd5\u3067\u3042\u308b\uff0e\u3057\u304b\u3057\uff0cresidual gap\u306f\u8fd1\u4f3c\u89e3\u30ce\u30eb\u30e0\u306e\u5927\u304d\u3055\u306b\u3082\u5f71\u97ff\u3055\u308c\u308b\u3053\u3068\u304c\u6307\u6458\u3055\u308c\u3066\u3044\u305f\uff0e\u305d\u3053\u3067\u672c\u7814\u7a76\u3067\u306f\uff0c\u30b9\u30e0\u30fc\u30b8\u30f3\u30b0\u524d\u5f8c\u306b\u304a\u3051\u308b\u8fd1\u4f3c\u89e3\u30ce\u30eb\u30e0\u306e\u632f\u308b\u821e\u3044\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u3067\uff0c\u76f8\u4e92\u4f5c\u7528\u578b\u6b8b\u5dee\u30b9\u30e0\u30fc\u30b8\u30f3\u30b0\u306e\u59a5\u5f53\u6027\u306b\u95a2\u3059\u308b\u65b0\u305f\u306a\u77e5\u898b\u3092\u4e0e\u3048\u308b\uff0e\n<\/p>\n<\/blockquote>\n\n\n<p>14:50 &#8211; 15:10<br>Groupwise\u66f4\u65b0\u6226\u7565\u3092\u7528\u3044\u305f\u6df7\u5408\u7cbe\u5ea6CG\u6cd5\u306e\u6709\u52b9\u6027<br>\u25cb\u76f8\u539f \u7814\u8f14\uff08\u6771\u4eac\u90fd\u5e02\u5927\u5b66\uff09, \u5c3e\u5d0e \u514b\u4e45\uff08\u829d\u6d66\u5de5\u696d\u5927\u5b66\uff09, \u690b\u6728 \u5927\u5730\uff08\u500b\u4eba\uff09<\/p>\n\n\n<blockquote>\n<p>CG\u6cd5\u306f\u5927\u898f\u6a21\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u4ee3\u8868\u7684\u306a\u53cd\u5fa9\u6cd5\u3067\u3042\u308b\u304c\uff0c\u4e38\u3081\u8aa4\u5dee\u306e\u5f71\u97ff\u306b\u3088\u308a\u771f\u306e\u6b8b\u5dee\u3084\u8aa4\u5dee\u304c\u505c\u6ede\u3059\u308b\u3053\u3068\u3082\u591a\u3044\uff0eGroupwise\u66f4\u65b0\u6226\u7565\u306f\uff0c\u771f\u306e\u6b8b\u5dee\u306e\u505c\u6ede\u3092\u9632\u3050\u6709\u52b9\u306a\u624b\u6bb5\u306e\u4e00\u3064\u3067\u3042\u308b\u304c\uff0c\u60aa\u6761\u4ef6\u554f\u984c\u306b\u5bfe\u3057\uff0c\u8aa4\u5dee\u306e\u89b3\u70b9\u3067\u306f\u5fc5\u305a\u3057\u3082\u6539\u5584\u3055\u308c\u306a\u3044\u5834\u5408\u304c\u3042\u308b\uff0e\u672c\u7814\u7a76\u3067\u306f\uff0c\u3053\u306e\u554f\u984c\u3092\u7c21\u4fbf\u304b\u3064\u52b9\u7387\u7684\u306b\u89e3\u6c7a\u3059\u308b\u305f\u3081\uff0cGroupwise\u66f4\u65b0\u6226\u7565\u3092\u7528\u3044\u305fCG\u6cd5\u306b\u5bfe\u3057\uff0c\u90e8\u5206\u7684\u306b\u9ad8\u7cbe\u5ea6\u6f14\u7b97\u3092\u9069\u7528\u3059\u308b\u6df7\u5408\u7cbe\u5ea6\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u63d0\u6848\u3057\uff0c\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u305d\u306e\u6709\u52b9\u6027\u3092\u793a\u3059\uff0e\n<\/p>\n<\/blockquote>\n\n\n<p><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528 (4)\u3000\uff0815:40 &#8211; 16:40\uff09\u3000\u5ea7\u9577\uff1a\u6a4b\u672c \u60a0\u9999\uff08\u65e5\u672c\u96fb\u4fe1\u96fb\u8a71\u682a\u5f0f\u4f1a\u793e\uff09<\/strong><\/p>\n\n\n\n<p>15:40 &#8211; 16:00<br>n\u89d2\u5f62\u304f\u3057\u578b\u6709\u5411\u30b0\u30e9\u30d5\u306e\u56fa\u6709\u5024\u306b\u3064\u3044\u3066<br>\u25cb\u67cf\u539f \u85cd\uff08\u795e\u6238\u5927\u5b66\uff09, \u5357\u51fa \u5927\u6a39\uff08\u6771\u4eac\u9ad8\u5c02, \u6771\u5de5\u5927\uff09<\/p>\n\n\n<blockquote>\n<p>2023\u5e74\u306eJSIAML(15)\u306b\u3066\u8b1b\u6f14\u8005\u9054\u304c\u63d0\u793a\u3057\u305f\u6709\u5411\u30b0\u30e9\u30d5\u306b\u5bfe\u3059\u308b\u64cd\u4f5c\u3092\u901a\u3058\u3066\uff0c\u7279\u6027\u591a\u9805\u5f0f\u304cFibonacci\u578b\u306e\u6f38\u5316\u5f0f\u3092\u6e80\u305f\u3059\u6709\u5411\u30b0\u30e9\u30d5\u304c\u591a\u304f\u898b\u3064\u304b\u3063\u305f\uff0e\u4eca\u56de\u306f\uff0c\u5411\u304d\u4ed8\u3051\u3089\u308c\u305f$n$\u89d2\u5f62\uff08$ngeq 4$\uff09\u3092\u4e00\u8fba\u3092\u5171\u6709\u3057\u306a\u304c\u3089\u304f\u3057\u578b\u306b\u9023\u7d50\u3057\u3066\u4f5c\u3089\u308c\u305f\u6709\u5411\u30b0\u30e9\u30d5\u306e\u7279\u6027\u591a\u9805\u5f0f\u306b\u5bfe\u3057\u3066\u4e00\u822c\u9805\u3068\u56fa\u6709\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u306e\u3067\uff0c\u7d39\u4ecb\u3059\u308b\uff0e\u307e\u305f\uff0c\u4e00\u9023\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u5f97\u3089\u308c\u305f\uff0c\u6709\u5411\u30b0\u30e9\u30d5\u3068\u95a2\u9023\u3059\u308b\u7121\u5411\u30b0\u30e9\u30d5\u306e\u7279\u6027\u591a\u9805\u5f0f\u306b\u95a2\u3059\u308b\u4e88\u60f3\u306b\u3064\u3044\u3066\u3082\u7d39\u4ecb\u3057\u305f\u3044\uff0e\n<\/p>\n<\/blockquote>\n\n\n<p>16:00 &#8211; 16:20<br>\u6bb5\u968e\u7684\u534a\u5e2f\u5e45\u524a\u6e1b\u306b\u3088\u308b\u5b9f\u5bfe\u79f0\u5e2f\u884c\u5217\u4e09\u91cd\u5bfe\u89d2\u5316\u306e\u5b9f\u884c\u6642\u9593\u3092\u524a\u6e1b\u3059\u308b\u7d4c\u7531\u534a\u5e2f\u5e45<br>\u25cb\u5ee3\u7530 \u60a0\u8f14\uff08\u798f\u4e95\u5927\u5b66\uff09, \u4e0a\u7247\u91ce \u88d5\u54c9\uff08\u798f\u4e95\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>Bischof\u3089\u306b\u3088\u308a\u534a\u5e2f\u5e45\u3092\u6bb5\u968e\u7684\u306b\u524a\u6e1b\u3059\u308b\u3053\u3068\u3067\u5b9f\u5bfe\u79f0\u5e2f\u884c\u5217\u3092\u4e09\u91cd\u5bfe\u89d2\u5316\u3059\u308b\u65b9\u6cd5\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\uff0e\u6bb5\u968e\u7684\u534a\u5e2f\u5e45\u524a\u6e1b\u306e\u969b\u306b\u7d4c\u7531\u3059\u308b\u534a\u5e2f\u5e45\uff08\u7d4c\u7531\u534a\u5e2f\u5e45\uff09\u306e\u9078\u629e\u306b\u306f\u4efb\u610f\u6027\u304c\u3042\u308a\uff0c\u9069\u5f53\u306a\u7d4c\u7531\u534a\u5e2f\u5e45\u306e\u9078\u629e\u306b\u3088\u308a\u4e09\u91cd\u5bfe\u89d2\u5316\u306b\u5fc5\u8981\u306a\u8a08\u7b97\u91cf\u3084\u5b9f\u884c\u6642\u9593\u3092\u524a\u6e1b\u3067\u304d\u308b\uff0e\u3059\u3067\u306b\u8a08\u7b97\u91cf\u6700\u5c0f\u306e\u7d4c\u7531\u534a\u5e2f\u5e45\u3092\u52b9\u7387\u7684\u306b\u63a2\u7d22\u3059\u308b\u624b\u6cd5\u306f\u5b9f\u73fe\u3055\u308c\u3066\u3044\u308b\u3082\u306e\u306e\uff0c\u8a08\u7b97\u91cf\u6700\u5c0f\u5316\u306f\u5fc5\u305a\u3057\u3082\u5b9f\u884c\u6642\u9593\u306e\u524a\u6e1b\u306b\u306f\u3064\u306a\u304c\u3089\u305a\uff0c\u5b9f\u7528\u306e\u89b3\u70b9\u3067\u306f\u4e0d\u4fbf\u304c\u6b8b\u3063\u3066\u3044\u305f\uff0e\u672c\u7814\u7a76\u3067\u306fCPU\u30ad\u30e3\u30c3\u30b7\u30e5\u306e\u5229\u7528\u52b9\u7387\u3092\u8003\u616e\u3059\u308b\u7d4c\u7531\u534a\u5e2f\u5e45\u306e\u9078\u629e\u624b\u6cd5\u3092\u63d0\u6848\u3057\uff0c\u305d\u306e\u3088\u3046\u306a\u7d4c\u7531\u534a\u5e2f\u5e45\u304c\u5b9f\u884c\u6642\u9593\u3092\u524a\u6e1b\u3059\u308b\u3053\u3068\u3092\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u793a\u3059\uff0e\n<\/p>\n<\/blockquote>\n\n\n<p>16:20 &#8211; 16:40<br>2\u3064\u306e\u5b9f\u5bfe\u79f0\u884c\u5217\u306e\u6dfb\u5b57\u306e\u7f6e\u63db\u306b\u3088\u308b\u4e00\u81f4\u6027\u5224\u5b9a\u306e\u8a66\u307f<br>\u25cb\u6751\u4e0a \u5f18\uff08\u6771\u4eac\u90fd\u7acb\u5927\u5b66\uff09<\/p>\n\n\n<blockquote>\n<p>\u4e0e\u3048\u3089\u308c\u305f\uff12\u3064\u306e\u5b9f\u5bfe\u79f0\u884c\u5217\u304c\u6dfb\u5b57\u306e\u7f6e\u63db\u3067\u4e00\u81f4\u53ef\u80fd\u3067\u3042\u308b\u304b\u306e\u5224\u5b9a\u3068\u53ef\u80fd\u306a\u5834\u5408\u306b\u306f\u305d\u306e\u7f6e\u63db\u3092\u5177\u4f53\u7684\u306b\u6c42\u3081\u308b\u554f\u984c\u3092\u8003\u3048\u308b\uff0e\u7279\u306b\u884c\u5217\u8981\u7d20\u306e\u5024\u306e\u7a2e\u985e\u304c\u5c11\u306a\u3044\u5834\u5408\u304c\u8208\u5473\u6df1\u3044\uff0e\u3053\u306e\u554f\u984c\u306e\u89e3\u6c7a\u306b\u5bfe\u3057\u3066\u5b9f\u5bfe\u79f0\u884c\u5217\u306e\u56fa\u6709\u5024\u5206\u89e3\u3092\u7d4c\u7531\u3059\u308b\u65b9\u6cd5\u3092\u8a66\u307f\u3066\u3044\u308b\uff0e\u73fe\u72b6\u3067\u306f\u3059\u3079\u3066\u306e\u5834\u5408\u306b\u3064\u3044\u3066\u52b9\u7387\u826f\u304f\u5224\u5b9a\u3067\u304d\u308b\u65b9\u6cd5\u306f\u307e\u3060\u5f97\u3089\u308c\u3066\u3044\u306a\u3044\u304c\uff0c\u591a\u304f\u306e\u5834\u5408\u306b\u305d\u306e\u3088\u3046\u306a\u7f6e\u63db\u304c\u5b58\u5728\u3059\u308c\u3070\u305d\u308c\u3092\u5177\u4f53\u7684\u306b\u52b9\u7387\u826f\u304f\u69cb\u6210\u3067\u304d\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u305f\uff0e\n<\/p>\n<\/blockquote>\n<p><!-- \/wp:quote --><\/p>\n<p><!-- wp:heading --><\/p>\n<h2>\u8b1b\u6f14\u7533\u3057\u8fbc\u307f\u30d5\u30a9\u30fc\u30e0<\/h2>\n<p><!-- \/wp:heading --><\/p>\n<p><!-- wp:paragraph --><\/p>\n<p>\u8b1b\u6f14\u52df\u96c6\u306f\u7de0\u3081\u5207\u308a\u307e\u3057\u305f\uff0e<\/p>\n<p><!-- \/wp:paragraph --><\/p>","protected":false},"excerpt":{"rendered":"<p>\u958b\u50ac\u6982\u8981 \u30d7\u30ed\u30b0\u30e9\u30e0 3\u67085\u65e5 (\u706b)\u3000C\u4f1a\u5834 \u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528 (1)\u3000\uff089:40 &#8211; 10:40\uff09\u3000\u5ea7\u9577\uff1a\u76f8\u539f \u7814\u8f14\uff08\u6771\u4eac\u90fd\u5e02\u5927\u5b66\uff09 09:40 &#8211; 10:00gap\u5b9a\u7406\u306b\u5bfe\u3059&hellip; <\/p>\n","protected":false},"author":9,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages\/2809"}],"collection":[{"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2809"}],"version-history":[{"count":9,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages\/2809\/revisions"}],"predecessor-version":[{"id":3057,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages\/2809\/revisions\/3057"}],"wp:attachment":[{"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2809"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}