{"id":174,"date":"2012-12-16T09:59:10","date_gmt":"2012-12-16T00:59:10","guid":{"rendered":"http:\/\/wpserver.local\/mc\/?page_id=174"},"modified":"2015-04-22T15:19:23","modified_gmt":"2015-04-22T06:19:23","slug":"spring-meeting2009","status":"publish","type":"page","link":"http:\/\/mepa.jsiam.org\/?page_id=174","title":{"rendered":"\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2009\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a"},"content":{"rendered":"<h4 align=\"center\"><strong>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2009\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a<\/strong><\/h4>\n<p>&nbsp;<\/p>\n<ul>\n<li>\u65e5\u6642\uff1a\u5e73\u621021\u5e743\u67087\u65e5(\u571f)\uff5e3\u67088\u65e5(\u65e5)<\/li>\n<li>\u5834\u6240\uff1a\u4eac\u90fd\u5927\u5b66\u7406\u5b66\u90e8 6\u53f7\u9928<\/li>\n<li>\u53c2\u52a0\u8cbb\uff1a\u5b66\u751f\u4f1a\u54e1: 0\u5186\/\u4e00\u822c\u4f1a\u54e1: 1,000\u5186\/\u5b66\u751f\u975e\u4f1a\u54e1: 1,000\u5186\/\u4e00\u822c\u975e\u4f1a\u54e1: 2, 000\u5186<\/li>\n<li>\u9023\u5408\u767a\u8868\u4f1a\u5168\u4f53\u306eWeb\u30da\u30fc\u30b8\uff1a<a href=\"http:\/\/www.kurims.kyoto-u.ac.jp\/~hirai\/jsiam\/jsiam.html\">http:\/\/www.kurims.kyoto-u.ac.jp\/~hirai\/jsiam\/jsiam.html<\/a><br \/>\n<hr \/>\n<\/li>\n<\/ul>\n<h5><strong>\u53e3\u982d\u767a\u8868\u30d7\u30ed\u30b0\u30e9\u30e0\uff08\u7814\u7a76\u90e8\u4f1a\u95a2\u4fc2\u90e8\u5206\uff09<\/strong><\/h5>\n<p><strong>\u30bb\u30c3\u30b7\u30e7\u30f31<\/strong>\u3000\u5ea7\u9577\uff1a\u901f\u6c34\u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f141\uff0814:00-14:18\uff09<br \/>\nSakurai-Sugiura \u6cd5\u306e\u975e\u5358\u9023\u7d50\u9818\u57df\u3078\u306e\u62e1\u5f35<br \/>\n\u25cb\u5bae\u7530 \u8003\u53f2\uff08\u540d\u53e4\u5c4b\u5927\u5b66 D2\uff09\u3001\u675c \u78ca\uff08\u540d\u53e4\u5c4b\u5927\u5b66 D1\uff09\u3001 \u66fd\u6211\u90e8 \u77e5\u5e83\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09\u3001\u5c71\u672c \u6709\u4f5c\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09\u3001 \u5f35 \u7d39\u826f\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u5b9f\u969b\u554f\u984c\u3068\u3057\u3066\uff0c\u6709\u9650\u306a\u975e\u5358\u9023\u7d50\u9818\u57df\u5185\u90e8\u306e\u56fa\u6709\u5024\u304c\u5fc5\u8981\u3068\u3055\u308c\u3066\u3044\u308b\uff0e \u305d\u306e\u3088\u3046\u306a\u554f\u984c\u306b\u5bfe\u3057\u3066\uff0c\u672c\u7814\u7a76\u3067\u306f Sakurai-Sugiura \u6cd5\u306e\u62e1\u5f35\u3092\u884c\u3046\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f142\uff0814:20-14:38\uff09<br \/>\n\u3042\u308b Totally nonnegative \u306a\u5e2f\u884c\u5217\u306b\u5bfe\u3059\u308bqd\u6cd5<br \/>\n\u25cb\u5c71\u672c \u6709\u4f5c\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u3059\u3079\u3066\u306e\u5c0f\u884c\u5217\u5f0f\u304c\u975e\u8ca0\u3067\u3042\u308b\u884c\u5217\u3092 totally nonnegative\uff08TN\uff09\u884c\u5217 \u3068\u547c\u3076\u3002\u672c\u767a\u8868\u3067\u306f\uff0c\u3042\u308b\u7a2e\u306e\u6b63\u5247\u304b\u3064TN\u306a\u5e2f\u884c\u5217\u306b\u5bfe\u3057\uff0c\u56fa\u6709\u5024\u8a08\u7b97\u306e \u305f\u3081\u306eqd\u6cd5\u304c\u81ea\u7136\u306a\u5f62\u3067\u62e1\u5f35\u3055\u308c\u308b\u3053\u3068\u3092\u793a\u3059\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f143\uff0814:40-14:58\uff09<br \/>\nCyclic Reduction\u5909\u5f62\u306b\u3088\u308b\u30d6\u30ed\u30c3\u30af3\u91cd\u5bfe\u89d2\u884c\u5217\u306e\u56fa\u6709\u5024\u306e\u5909\u5316\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u738b \u5766\uff08\u4eac\u90fd\u5927\u5b66M2\uff09\uff0c\u5ca9\u5d0e \u96c5\u53f2\uff08\u4eac\u90fd\u5e9c\u7acb\u5927\u5b66\uff09\uff0c\u4e2d\u6751 \u4f73\u6b63\uff08\u4eac\u90fd\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u4fc2\u6570\u884c\u5217\u304c3\u91cd\u5bfe\u89d2\u307e\u305f\u306f\u30d6\u30ed\u30c3\u30af3\u91cd\u5bfe\u89d2\u3067\u3042\u308b\u9023\u7acb 1\u6b21\u65b9\u7a0b\u5f0f\u306e\u76f4\u63a5\u89e3\u6cd5 \u3068\u3057\u3066Cyclic Reduction\u6cd5\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u4fc2\u6570\u884c\u5217\u3092\u30d6\u30ed\u30c3\u30af 3\u91cd\u5bfe\u89d2\u3068\u3057\u305f\u5834\u5408\u306b\u6210\u7acb\u3059\u308b \u5b9a\u7406\u3092\u793a\u3059\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f144\uff0815:00-15:18\uff09<br \/>\n\u975e\u7dda\u5f62\u56fa\u6709\u5024\u554f\u984c\u306e\u6307\u5b9a\u3057\u305f\u9818\u57df\u5185\u306e\u56fa\u6709\u5024\u89e3\u6cd5<br \/>\n\u25cb\u671d\u5009 \u9806\u5b50\uff08\u7b51\u6ce2\u5927\u5b66M2\uff09\uff0c\u6afb\u4e95 \u9244\u4e5f\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c\u591a\u7530\u91ce \u5bdb\u4eba\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c \u6c60\u4e0a\u3000\u52aa\uff08\u7523\u7dcf\u7814\uff09\uff0c\u6728\u6751\u3000\u6b23\u53f8\uff08\u4eac\u90fd\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u975e\u7dda\u5f62\u56fa\u6709\u5024\u554f\u984c\u306e\u6307\u5b9a\u3057\u305f\u9818\u57df\u5185\u306e\u56fa\u6709\u5024\u89e3\u6cd5\u306e\u6027\u8cea\u306b\u3064\u3044\u3066\u8ff0\u3079\u308b\uff0e \u307e\u305f\uff0c\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u305d\u306e\u6027\u8cea\u3092\u78ba\u8a8d\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u30bb\u30c3\u30b7\u30e7\u30f32<\/strong>\u3000\u5ea7\u9577\uff1a\u66fd\u6211\u90e8\u77e5\u5e83\uff08\u540d\u5927\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f145\uff0815:20-15:38\uff09<br \/>\nIDR(s) &#8211; Bi_IDR(s) &#8211; GIDR(s,L) &#8212; The triangle is closed &#8212;<br \/>\n\u25cb\u5c3e\u4e0a\u3000\u52c7\u4ecb\uff08\u4e5d\u5dde\u5927\u5b66\u3000M2\uff09\uff0c\u85e4\u91ce\u3000\u6e05\u6b21\uff08\u4e5d\u5dde\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a 2007\u5e74\u306b\uff0cSonneveld, van Gijzen\u3089\u306b\u3088\u308a\uff0cIDR(s)\u6cd5\u304c\u767a\u8868\u3055\u308c\u305f\u5f8c\uff0c \u540c\u4e00\u8457\u8005\u306b\u3088\u308aIDR(s)\u6cd5\u306e\u6539\u826f\u7248\u3067\u3042\u308bBi_IDR(s)\u6cd5\u304c\u767a\u8868\u3055\u308c\u305f\uff0e \u3055\u3089\u306b\uff0c\u8c37\u5c3e\uff0c\u6749\u539f\u306b\u3088\u308a\uff0cIDR(s)\u6cd5\u3092\u4e00\u822c\u5316\u3057\u305fGIDR(s,L)\u6cd5\u304c\uff0c \u767a\u8868\u3055\u308c\u305f\uff0e\u672c\u767a\u8868\u3067\u306f\uff0c\u3053\u308c\u30893\u7a2e\u985e\u306e\u53cd\u5fa9\u6cd5\u306e\u7279\u5fb4\u3092\u8ff0\u3079\uff0c \u6709\u52b9\u306a\u4f7f\u3044\u5206\u3051\u65b9\u3092\u63d0\u793a\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f146\uff0815:40-15:58\uff09<br \/>\n*IDR(s,*)\u6cd5\u5171\u901a\u306b\u9069\u7528\u53ef\u80fd\u306a\u8a08\u7b97\u91cf\u524a\u6e1b\u306e\u6280<span style=\"font-family: HiraKakuPro-W3;\">\u3000<\/span>&#8212; \u884c\u5217p\u306e\u90e8\u5206\u7684\u5bc6\u884c\u5217\u5316 &#8212;<br \/>\n\u25cb\u5c3e\u4e0a \u52c7\u4ecb\uff08\u4e5d\u5dde\u5927\u5b66 M2\uff09\uff0c\u85e4\u91ce \u6e05\u6b21\uff08\u4e5d\u5dde\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u672c\u767a\u8868\u3067\u306f\uff0cIDR(s)\u6cd5\u7cfb\u7d71\u306e\u53cd\u5fa9\u6cd5\u306b\u5171\u901a\u306b\u9069\u7528\u53ef\u80fd\u306a\u5bc6\u884c\u5217\u30d9\u30af\u30c8\u30eb\u7a4d\u306e\u8a08\u7b97\u91cf\u3092\u6e1b\u3089\u3059\u30c6\u30af\u30cb\u30c3\u30af\u3092\u63d0\u6848\u3059\u308b\uff0e\u3055\u3089\u306b\uff0c\u6570\u5024\u5b9f\u9a13\u3092\u901a\u3057\u3066\uff0c\u305d\u306e\u30c6\u30af\u30cb\u30c3\u30af\u306e\u6709\u52b9\u6027\u3092\u793a\u3059\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f147\uff0816:00-16:18\uff09<br \/>\n\u6b8b\u5dee\u3068MR\u591a\u9805\u5f0f\u306e\u76f8\u95a2\u3092\u8003\u616e\u3059\u308b\u30b9\u30a4\u30c3\u30c1\u30f3\u30b0\u3064\u304d GPBiCG-AR\u6cd5\u306e\u53ce\u675f\u6027<br \/>\nMoe Thuthu(\u4e5d\u5dde\u5927\u5b66 D), \u25cb\u85e4\u91ce\u3000\u6e05\u6b21(\u4e5d\u5dde\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u6b8b\u5dee\u30ce\u30eb\u30e0\u6700\u5c0f\u5316\u306e\u904e\u7a0b\u306b\u304a\u3044\u3066\u306f\uff0c\u6b8b\u5dee\u30d9\u30af\u30c8\u30eb\u3068MR\u591a\u9805\u5f0f\u306e\u9593\u306b\u306f\u5f37\u3044 \u76f8\u95a2\u304c\u3042\u308a\uff0c\u3053\u308c\u3092\u691c\u51fa\u3057\u305d\u306e\u60c5\u5831\u3092\u7b97\u6cd5\u306b\u751f\u304b\u3057\u305fGPBiCG-AR\u6cd5\u306e\u53ce\u675f\u6027 \u306b\u3064\u3044\u3066\u6bd4\u8f03\u8ad6\u3058\u308b\u3053\u3068\u306b\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f148\uff0816:20-16:38\uff09<br \/>\n\u9ad8\u6b21\u5143\u306eshadow residual\u3092\u6301\u3064Bi-CG\u6cd5\u306b\u9ad8\u6b21\u306e\u52a0\u901f\u591a\u9805\u5f0f\u3092\u4ed8\u52a0\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<br \/>\n\u25cb\u8c37\u5c3e \u771f\u660e(\u6771\u4eac\u5927\u5b66M2)\uff0c\u6749\u539f\u6b63\u986f(\u6771\u4eac \u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u5e74\u4f1a\u3067\u306f\uff0cIDR(s)\u6cd5\u306b\u9ad8\u6b21\u306e\u52a0\u901f\u591a\u9805\u5f0f\u3092\u4ed8\u52a0\u3057\u305fGIDR(s,L)\u6cd5\u3092 \u63d0\u6848\u3057\u305f\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u540c\u7b49\u306e\u6027\u80fd\u3092\u6301\u3064\uff0cBi-CG\u6cd5\u3092\u62e1\u5f35\u3057\u3066 \u5f97\u3089\u308c\u308b2\u3064\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u65b0\u305f\u306b\u63d0\u6848\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u30bb\u30c3\u30b7\u30e7\u30f33<\/strong>\u3000\u5ea7\u9577\uff1a\u677e\u5c3e\u5b87\u6cf0\uff08\u6771\u5927\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f149\uff0816:40-16:58\uff09<br \/>\n\u8b1b\u6f14\u984c\u76ee\uff1aBiCGStab2\u6cd5\uff0cGPBi-CG\u6cd5\u306eIDR(s)\u6cd5\u3078\u306e\u5909\u5f62<br \/>\n\u25cb\u963f\u90e8 \u90a6\u7f8e\uff08\u5c90\u961c\u8056\u5fb3\u5b66\u5712\u5927\u5b66\uff09\uff0cGerard Sleijpen\uff08Utrecht university\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u7dda\u5f62\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u3068\u3057\u3066 IDR(s)\u6cd5\u304c\u958b\u767a\u3055\u308c\u305f\uff0e\u305d\u306eIDR(s)\u6cd5\u3068BiCG\u6cd5 \u7cfb\u7d71\u306e\u89e3\u6cd5\u3068\u306e\u95a2\u9023\u304c\u660e\u3089\u304b\u306b\u3055\u308c\uff0cBiCGstab(ell)\u6cd5\u306eIDR(s)\u6cd5\u3078\u306e \u5909\u5f62\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0cBiCGStab2\u6cd5\uff0cGPBi-CG\u6cd5 \u306eIDR(s)\u6cd5\u3078\u306e\u5909\u5f62\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u63d0\u6848\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1410\uff0817:00-17:18\uff09<br \/>\nLook-Back\u578b\u306eGMRES(m)\u6cd5\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u4eca\u5009 \u6681\uff08\u540d\u53e4\u5c4b\u5927\u5b66D1\uff09\u3001\u66fd\u6211\u90e8 \u77e5\u5e83\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09\u3001\u5f35 \u7d39\u826f\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a2008\u5e74\u5ea6\u5e74\u4f1a\u306b\u304a\u3044\u3066\u63d0\u6848\u3057\u305fGMRES(m)\u6cd5\u306e\u62e1\u5f35\u6cd5\u306b\u5bfe\u3057\u3001 \u3088\u308a\u8a73\u3057\u3044\u8003\u5bdf\u3092\u884c\u3046\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1411\uff0817:20-17:38\uff09<br \/>\n\u6700\u5c0f\u4e8c\u4e57\u554f\u984c\u306b\u5bfe\u3059\u308bColumn Decomposed AOR\u6cd5\u306b\u3088\u308b\u524d\u51e6\u7406<br \/>\n\u25cb\u4fdd\u570b \u60e0\u4e00\uff08\u7dcf\u5408\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66 M1\uff09\uff0cXiaoke Cui\uff08\u7dcf\u5408\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66 D3\uff09\uff0c \u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09<\/p>\n<blockquote><p>\u6982\u8981: \u524d\u51e6\u7406\u3068\u3057\u3066\uff0c\u6700\u5c0f\u4e8c\u4e57\u554f\u984c\u306e\u5b9a\u5e38\u53cd\u5fa9\u89e3\u6cd5\u3067\u3042\u308bColumn Decomposed AOR\u6cd5\u3092\uff0cKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306b\u65bd\u3059\u3053\u3068\u306e\u6709\u52b9\u6027\u306b\u3064\u3044\u3066\u691c\u8a0e\u3092\u3059\u308b\uff0e \u3055\u3089\u306b\u6570\u5024\u5b9f\u9a13\u306e\u7d50\u679c\u304b\u3089\uff0c\u305d\u306e\u6027\u8cea\u3092\u8a55\u4fa1\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1412\uff0817:40-17:58\uff09<br \/>\n\u53cd\u5fa9\u6539\u826f\u6cd5\u3092\u7528\u3044\u305f\u9670\u7684Runge-Kutta\u6cd5\u306e\u6027\u80fd\u8a55\u4fa1<br \/>\n\u25cb\u5e78\u8c37 \u667a\u7d00\uff08\u9759\u5ca1\u7406\u5de5\u79d1\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u672c\u8b1b\u6f14\u3067\u306f\uff0cButtari\u3089\u306e\u63d0\u6848\u3059\u308b\u5358\u7cbe\u5ea6\u30fb\u500d\u7cbe\u5ea6\u6df7\u5408\u578b\u53cd\u5fa9\u6539\u826f\u6cd5\u3092\u9670\u7684 Runge-Kutta\u6cd5\u306e\u5185\u90e8\u53cd\u5fa9\u306b\u4f7f\u7528\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3057\uff0c\u6570\u5024\u5b9f\u9a13\u306b\u3088\u3063\u3066 \u305d\u306e\u6027\u80fd\u8a55\u4fa1\u3092\u884c\u3063\u305f\u7d50\u679c\u306b\u3064\u3044\u3066\u8ff0\u3079\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<hr \/>\n<h5><strong>\u30dd\u30b9\u30bf\u30fc\u767a\u8868\uff08\u7814\u7a76\u90e8\u4f1a\u95a2\u4fc2\u90e8\u5206\u300110\u4ef6\uff09<\/strong><\/h5>\n<ul>\n<li>\u30dd\u30b9\u30bf\u30fc1<br \/>\n\u975e\u7dda\u5f62\u554f\u984c\u306e\u89e3\u6cd5Anderson\u6cd5\u3068\u7279\u7570\u5024\u5206\u89e3\u306e\u5229\u7528<br \/>\n\u25cb\u6fa4\u6751 \u660e\u8ce2\uff08\u4f4f\u53cb\u96fb\u6c17\u5de5\u696d(\u682a) \uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u975e\u7dda\u578b\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u306e1\u3064\u3001Anderson\u6cd5\u306f\u6700\u5c0f\u4e8c\u4e57\u6cd5\u3068\u5171\u901a\u3059\u308b\u6570\u5024\u7684\u4e0d\u5b89\u5b9a\u6027 \u3092\u62b1\u3048\u3066\u3044\u308b\u3002\u4eca\u56de\u3001\u7279\u7570\u5024\u5206\u89e3\u306e\u30d7\u30ed\u30bb\u30b9\u306b\u7740\u76ee\u3057\u3001\u904e\u53bb\u306e\u30c7\u30fc\u30bf\u306e\u53c2\u7167\u306e \u5ea6\u5408\u3092\u81ea\u52d5\u7684\u306b\u6c7a\u3081\u308b\u6280\u6cd5\u3092\u958b\u767a\u3057\u3001\u305d\u306e\u52b9\u679c\u3092\u96fb\u5b50\u72b6\u614b\u8a08\u7b97\u306b\u65bc\u3044\u3066\u78ba\u8a8d\u3057\u305f\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u30dd\u30b9\u30bf\u30fc2<br \/>\n\u884c\u5217\u306e\u6307\u6570\u95a2\u6570\u3092\u7528\u3044\u305f\u9023\u7acb\u7dda\u5f62\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u4e26\u5217\u89e3\u6cd5\u306e\u6027\u80fd\u8a55\u4fa1<br \/>\n\u25cb\u5247\u7af9 \u6e1a\u5b87\uff08\u540d\u53e4\u5c4b\u5927\u5b66M2\uff09\uff0c\u5c71\u672c \u6709\u4f5c\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09\uff0c\u5f35 \u7d39\u826f\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u9023\u7acb\u7dda\u5f62\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u89e3\u3092\u884c\u5217\u306e\u6307\u6570\u95a2\u6570\u3092\u7528\u3044\u3066\u5f62\u5f0f\u7684\u306b\u8868\u73fe\u3057\uff0c \u30af\u30ea\u30ed\u30d5\u90e8\u5206\u7a7a\u9593\u6cd5\u3067\u8fd1\u4f3c\u3092\u884c\u3046\u3053\u3068\u306b\u3088\u308a\uff0c\u4e26\u5217\u5ea6\u306e\u9ad8\u3044\u89e3\u6cd5\u304c\u5f97\u3089\u308c\u308b\u3002 \u672c\u767a\u8868\u3067\u306f\uff0c\u3053\u306e\u89e3\u6cd5\u306b\u3064\u3044\u3066\uff0c\u7cbe\u5ea6\u3068\u4e26\u5217\u6027\u80fd\u306e\u8a55\u4fa1\u7d50\u679c\u3092\u5831\u544a\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u30dd\u30b9\u30bf\u30fc3<br \/>\n\u30cf\u30a6\u30b9\u30db\u30eb\u30c0\u30fcQR\u5206\u89e3\u306e\u305f\u3081\u306eAllReduce\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7406\u8ad6\u8aa4\u5dee\u89e3\u6790<br \/>\n\u25cb\u68ee \u5927\u4ecb\uff08\u540d\u53e4\u5c4b\u5927\u5b66M2\uff09\uff0c\u5c71\u672c \u6709\u4f5c\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09\uff0c\u5f35 \u7d39\u826f\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u30cf\u30a6\u30b9\u30db\u30eb\u30c0\u30fcQR\u5206\u89e3\u3092\u52b9\u7387\u7684\u306b\u4e26\u5217\u5316\u3059\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308bAllReduce \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u5bfe\u3057\u3066\u5f8c\u9000\u8aa4\u5dee\u89e3\u6790\u3092\u884c\u3044\uff0c\u6b8b\u5dee\u3068\u76f4\u4ea4\u6027\u306b\u5bfe\u3059\u308b\u8aa4\u5dee\u4e0a\u754c \u3092\u5c0e\u304f\u3002\u307e\u305f\uff0c\u6570\u5024\u5b9f\u9a13\u3068\u6bd4\u8f03\u3057\u305f\u7d50\u679c\u3092\u5831\u544a\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u30dd\u30b9\u30bf\u30fc4<br \/>\n\u52d5\u7684\u8ca0\u8377\u5206\u6563BLAS\u306e\u30d6\u30ed\u30c3\u30af\u30b5\u30a4\u30ba\u6c7a\u5b9a\u306e\u305f\u3081\u306e\u30aa\u30fc\u30c8\u30c1\u30e5\u30fc\u30cb\u30f3\u30b0\u6cd5<br \/>\n\u25cb\u6fa4 \u52c7\u592a(\u6771\u4eac\u5927\u5b66M2)\uff0c\u9808\u7530 \u793c\u4ec1\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a BLAS\u3092\u52d5\u7684\u306b\u4e26\u5217\u5316\u3059\u308b\u969b\u306b\u3001\u5206\u5272\u306e\u30d6\u30ed\u30c3\u30af\u30b5\u30a4\u30ba\u304c\u91cd\u8981\u3067\u3042\u308b\u3053\u3068\u3092\u793a \u3059\u3068\u3068\u3082\u306b\u3001\u5177\u4f53\u7684\u306a\u30d6\u30ed\u30c3\u30af\u30b5\u30a4\u30ba\u3092\u4e0e\u3048\u308b\u305f\u3081\u306e\u624b\u6cd5\u3001\u53ca\u3073\u305d\u306e\u4ed6\u306e \u9ad8\u6027\u80fd\u5316\u306e\u305f\u3081\u306e\u624b\u6cd5\u3092\u4e0e\u3048\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u30dd\u30b9\u30bf\u30fc5<br \/>\n\u5bc6\u5ea6\u6c4e\u95a2\u6570\u6cd5\u3067\u8003\u616e\u3059\u308b\u96fb\u5b50\u72b6\u614b\u6570\u306e\u53ce\u675f\u6027\u3078\u306e\u5f71\u97ff\u8a55\u4fa1<br \/>\n\u25cb\u4e8c\u6751 \u4fdd\u5fb3\uff08\u7b51\u6ce2\u5927\u5b66B4\uff09\uff0c\u6afb\u4e95 \u9244\u4e5f\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c\u591a\u7530\u91ce \u5bdb\u4eba\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c \u5ca9\u7530 \u6f64\u4e00\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u672c\u8b1b\u6f14\u3067\u306f\uff0c\u5bc6\u5ea6\u6c4e\u95a2\u6570\u6cd5\u3067\u8003\u616e\u3059\u308b\u96fb\u5b50\u72b6\u614b\u306e\u6570\u304cSelf-Consistent Field\u8a08\u7b97 \u306e\u53ce\u675f\u6027\u306b\u53ca\u307c\u3059\u5f71\u97ff\u3092\u6570\u5024\u5b9f\u9a13\u306b\u3088\u3063\u3066\u8a55\u4fa1\u3057\uff0c\u53ce\u675f\u6027\u6539\u5584\u306e\u6307\u91dd\u306b\u3064\u3044\u3066 \u8ff0\u3079\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u30dd\u30b9\u30bf\u30fc6<br \/>\n\u8907\u7d20\u30e2\u30fc\u30e1\u30f3\u30c8\u304b\u3089\u751f\u6210\u3055\u308c\u308bHankel\u884c\u5217\u306e\u6570\u5024\u7684\u6027\u8cea\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u6afb\u4e95 \u9244\u4e5f\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c\u671d\u5009 \u9806\u5b50\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c\u591a\u7530\u91ce \u5bdb\u4eba\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c \u6c60\u4e0a \u52aa\uff08\u7523\u7dcf\u7814\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u672c\u767a\u8868\u3067\u306f\uff0c\u8907\u7d20\u30e2\u30fc\u30e1\u30f3\u30c8\u3092\u8981\u7d20\u306b\u3082\u3064Hankel\u884c\u5217\u306e\u6570\u5024\u7684\u306a\u6027\u8cea\u306b\u3064\u3044\u3066\u8003\u5bdf \u3059\u308b\uff0eHankel\u884c\u5217\u306b\u3088\u308b\u884c\u5217\u675f\u306e\u56fa\u6709\u5024\u306f\u8981\u7d20\u3054\u3068\u306b\u8aa4\u5dee\u306e\u5f71\u97ff\u304c\u7570\u306a\u308b\u3053\u3068\u3092\u793a \u3059\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u30dd\u30b9\u30bf\u30fc7<br \/>\nCutoff \u4ed8\u304d\u30d6\u30ed\u30c3\u30af\u8fd1\u4f3c\u9006\u884c\u5217\u524d\u51e6\u7406\u306e\u63d0\u6848<br \/>\n\u25cb\u5c71\u5d0e \u80b2\u6717\uff08\u7b51\u6ce2\u5927\u5b66M1\uff09\uff0c\u5ca1\u7530 \u771f\u5e78\uff08\u7b51\u6ce2\u5927\u5b66D3\uff09\uff0c\u591a\u7530\u91ce \u5bdb\u4eba\uff08\u7b51\u6ce2\u5927 \u5b66\uff09\uff0c\u6afb\u4e95 \u9244\u4e5f\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c\u5bfa\u897f \u6176\u592a\uff08 Cray, Inc. \uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u30d6\u30ed\u30c3\u30af\u8fd1\u4f3c\u9006\u884c\u5217\uff08 Block SAI \uff09\u524d\u51e6\u7406\u306f\u89e3\u304f\u3053\u3068\u304c\u56f0\u96e3\u306a\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b \u5bfe\u3057\u3066\u6709\u52b9\u3067\u3042\u308b\u304c\uff0c\u591a\u304f\u306e\u8a08\u7b97\u91cf\u304c\u5fc5\u8981\u3068\u306a\u308b\u3053\u3068\u304c\u3042\u308b\uff0e\u672c\u7814\u7a76\u3067\u306f\uff0cBlock SAI\u524d\u51e6\u7406\u3092\u9ad8\u901f\u5316\u3059\u308b\u305f\u3081\u306b\uff0c\u540c\u524d\u51e6\u7406\u306b\u758e\u884c\u5217\u5316\u6280\u6cd5\u3067\u3042\u308b Cutoff \u3092\u7d44\u307f\u5408 \u308f\u305b\u305f\u524d\u51e6\u7406\u3092\u63d0\u6848\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u30dd\u30b9\u30bf\u30fc8<br \/>\n\u683c\u5b50QCD\u306b\u5bfe\u3059\u308b\u7cbe\u5ea6\u5207\u66ff\u578bKrylov\u90e8\u5206\u7a7a\u9593\u53cd\u5fa9\u6cd5\u306e\u9069\u7528\u3068\u6027\u80fd\u8a55\u4fa1<br \/>\n\u25cb\u7247\u5ca1 \u5f18\u5e78\uff08\u7b51\u6ce2\u5927\u5b66M1\uff09\uff0c\u591a\u7530\u91ce \u5bdb\u4eba\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c\u6afb\u4e95 \u9244\u4e5f\uff08\u7b51\u6ce2\u5927\u5b66\uff09\uff0c \u837b\u7530 \u6b66\u53f2\uff08\u6771\u4eac\u5973\u5b50\u5927\uff09\uff0c\u8535\u5897 \u5609\u4f38\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u672c\u767a\u8868\u3067\u306f\uff0c\u683c\u5b50QCD\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u73fe\u308c\u308b\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3057\u3066\u9ad8\u7cbe\u5ea6\u6f14\u7b97 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