{"id":164,"date":"2012-12-16T09:54:34","date_gmt":"2012-12-16T00:54:34","guid":{"rendered":"http:\/\/wpserver.local\/mc\/?page_id=164"},"modified":"2015-04-22T15:27:39","modified_gmt":"2015-04-22T06:27:39","slug":"ag_workshop8","status":"publish","type":"page","link":"http:\/\/mepa.jsiam.org\/?page_id=164","title":{"rendered":"\u7b2c8\u56de\u5358\u72ec\u7814\u7a76\u4f1a"},"content":{"rendered":"<h4 align=\"center\"><strong>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a\u300c\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u300d\u7814\u7a76\u90e8\u4f1a\u3000\u7b2c8\u56de\u7814\u7a76\u4f1a<\/strong><\/h4>\n<p>&nbsp;<\/p>\n<p>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a\u300c\u884c\u5217\u30fb\u56fa\u6709\u5024\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u300d\u7814\u7a76\u90e8\u4f1a\u3067\u306f\uff0c\u7b2c\uff18\u56de\u7814\u7a76\u4f1a\u3092\u958b\u50ac\u3057\u307e\u3059\uff0e<\/p>\n<ul>\n<li>\u958b\u50ac\u65e5\uff1a2009\u5e7411\u670826\u65e5\uff08\u6728\uff09<\/li>\n<li>\u5834\u6240\uff1a\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff11\uff12\u968e\uff11\uff12\uff10\uff18\u5ba4\uff08\u3012101-8430 \u6771\u4eac\u90fd\u5343\u4ee3\u7530\u533a\u4e00\u30c4\u6a4b2-1-2<\/li>\n<li>\u30a2\u30af\u30bb\u30b9\uff1a<a href=\"http:\/\/www.nii.ac.jp\/introduce\/access1-j.shtml\">http:\/\/www.nii.ac.jp\/introduce\/access1-j.shtml<\/a><\/li>\n<li>\u7814\u7a76\u4f1a\u7d42\u4e86\u5f8c\u306b\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\u306e\u6240\u5185\u306b\u3066\u61c7\u89aa\u4f1a\u3092\u4e88\u5b9a\u3057\u3066\u3044\u307e\u3059\uff0e<a href=\"#L2\">\u61c7\u89aa\u4f1a\u306b\u53c2\u52a0\u3092\u3054\u5e0c\u671b\u306e\u65b9\u306f\u3053\u3061\u3089\u3092\u3054\u53c2\u7167\u4e0b\u3055\u3044<\/a><\/li>\n<li>\u7b2c\uff11\u30bb\u30c3\u30b7\u30e7\u30f3\u7d42\u4e86\u5f8c\u306b\u7b2c\uff12\u56de\u904b\u55b6\u59d4\u54e1\u4f1a\u3092\u958b\u50ac\u3057\u307e\u3059\uff0e<a href=\"#L1\">\u7814\u7a76\u90e8\u4f1a\u904b\u55b6\u59d4\u54e1\u306e\u7686\u69d8\u306f\u3053\u3061\u3089\u3092\u3054\u53c2\u7167\u4e0b\u3055\u3044\uff0e<\/a><br \/>\n<hr \/>\n<\/li>\n<\/ul>\n<h5><strong>\u30d7\u30ed\u30b0\u30e9\u30e0<\/strong><\/h5>\n<p><strong>\u30aa\u30fc\u30d7\u30cb\u30f3\u30b0\u3000<\/strong>\u4e3b\u67fb\uff1a\u7247\u6850 \u5b5d\u6d0b\uff08\u6771\u4eac\u5927\u5b66\uff09\uff0810\uff1a20\uff09<\/p>\n<p><strong>\u3010\u30bb\u30c3\u30b7\u30e7\u30f3\uff11\uff1a\u56fa\u6709\u5024\u554f\u984c\uff11\u3011<\/strong>\u5ea7\u9577\uff1a\u76f4\u91ce \u5065\uff08\u65e5\u7acb\u4e2d\u592e\u7814\u7a76\u6240\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f141\uff0810\uff1a30\uff5e11\uff1a00\uff09<br \/>\n\u91cf\u5b50\u5206\u5b50\u52d5\u529b\u5b66\u306e\u4e26\u5217GPU\u8a08\u7b97\u306b\u3088\u308b\u9ad8\u901f\u5316<br \/>\n\u98ef\u9ad8 \u654f\u6643\uff08\u7406\u5316\u5b66\u7814\u7a76\u6240\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a Non-selfconsistent Tight Binding\u8fd1\u4f3c\u3092\u7528\u3044\u305f\u30aa\u30fc\u30c0\u30fcN\u91cf\u5b50\u5206\u5b50\u52d5\u529b\u5b66\u306b\u304a\u3051\u308b \u56fa\u6709\u5024\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u554f\u984c\u3092\u4e26\u5217GPU\u8a08\u7b97\u306b\u3088\u308a\u9ad8\u901f\u5316\u3057\u305f\u4f8b\u3092\u7d39\u4ecb\u3059\u308b\u3002 \u8a08\u7b97\u4f8b\u3068\u3057\u30661920\u539f\u5b50\u304b\u3089\u306a\u308bC60\u5206\u5b50\u7d50\u6676\u306e\u9ad8\u6e29\u9ad8\u5727\u4e0b\u3067\u306e\u30dd\u30ea\u30de\u30fc\u5316\u306e \u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u7d50\u679c\u3092\u7d39\u4ecb\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f142\uff0811\uff1a00\uff5e11\uff1a30\uff09<br \/>\nLevel-3 BLAS\u306b\u57fa\u3065\u304f\u5bfe\u79f0\u5bc6\u884c\u5217\u56fa\u6709\u5024\u89e3\u6cd5\u306e\u30de\u30eb\u30c1\u30b3\u30a2\u30d7\u30ed\u30bb\u30c3\u30b5\u4e0a\u3067\u306e\u6027\u80fd<br \/>\n\u25cb\u5ee3\u7530 \u60a0\u8f14\uff08\u540d\u53e4\u5c4b\u5927\u5b66 M2\uff09\uff0c\u65e9\u6238 \u62d3\u4e5f\uff08\u540d\u53e4\u5c4b\u5927\u5b66 M2\uff09\uff0c \u5c71\u672c \u6709\u4f5c\uff08\u795e\u6238\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u5bfe\u79f0\u5bc6\u884c\u5217\u306e\u56fa\u6709\u5024\u89e3\u6cd5\u3068\u3057\u3066\u3001\u8a08\u7b97\u306e\u5927\u90e8\u5206\u3092level-3 BLAS\u3067\u884c\u3048\u308bBischof \u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u3042\u308b\u3002\u672c\u767a\u8868\u3067\u306f\u3001\u3053\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u30de\u30eb\u30c1\u30b3\u30a2\u30d7\u30ed\u30bb\u30c3\u30b5\u4e0a \u3067\u306e\u6027\u80fd\u8a55\u4fa1\u7d50\u679c\u306b\u3064\u3044\u3066\u5831\u544a\u3059\u308b\u3002\u307e\u305f\u3001\u6027\u80fd\u30cd\u30c3\u30af\u3068\u305d\u306e\u89e3\u6c7a\u6cd5\u306b\u3064\u3044\u3066\u3082\u8b70\u8ad6\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u3010\u30bb\u30c3\u30b7\u30e7\u30f3\uff12\uff1a\u62db\u5f85\u8b1b\u6f14\u3011<\/strong>\u00a0\u5ea7\u9577\uff1a\u7247\u6850 \u5b5d\u6d0b\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<ul>\n<li>\u62db\u5f85\u8b1b\u6f14\uff0813\uff1a00\uff5e13\uff1a45\uff09<br \/>\nMPACK 0.5.0:\u591a\u500d\u9577\u7cbe\u5ea6\u7248\u306eBLAS\u3068LAPACK\u306e\u958b\u767a<br \/>\n\u4e2d\u7530 \u771f\u79c0\uff08\u7406\u5316\u5b66\u7814\u7a76\u6240\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u300cBLAS\u3068LAPACK\u306f\u975e\u5e38\u306b\u3088\u304f\u4f7f\u308f\u308c\u308b\u7dda\u5f62\u4ee3\u6570\u30d1\u30c3\u30b1\u30fc\u30b8\u3067\u3042\u308b\u3002 \u79c1\u306f\u3053\u306e\u591a\u500d\u9577\u7cbe\u5ea6\u7248\u3067\u3042\u308bMPACK (MBLAS\u304a\u3088\u3073MLAPACK)\u3092\u958b\u767a\u3057\u3066\u3044\u308b\u3002 \u304d\u3063\u304b\u3051\u306f\u3001\u534a\u6b63\u5b9a\u5024\u8a08\u753b\u6cd5\u306e\u6700\u9069\u89e3\u306f\u4e00\u822c\u306b\u60aa\u6761\u4ef6\u306e\u305f\u3081IEEE754 double\u3067\u306f \u7cbe\u5ea6\u826f\u304f\u6c42\u3081\u3089\u308c\u306a\u3044\u3053\u3068\u304b\u3089\u3001\u591a\u500d\u9577\u7cbe\u5ea6\u8a08\u7b97\u3092\u59cb\u3081\u305f\u3053\u3068\u306b\u3042\u308b\u3002\u305d\u306e\u5f8c\u3001 \u4e00\u822c\u5411\u3051\u306e\u30e9\u30a4\u30d6\u30e9\u30ea\u4f5c\u6210\u3092\u958b\u59cb\u3057\u305f\u3002\u76ee\u6a19\u306f<br \/>\n(1)\u30ea\u30d5\u30a1\u30ec\u30f3\u30b9\u5b9f\u88c5\u306e\u63d0\u4f9b\u3001<br \/>\n(2)\u30aa\u30fc\u30d7\u30f3\u306a\u958b\u767a\u4f53\u5236\u306b\u3088\u308b\u4fe1\u983c\u6027\u306e\u78ba\u4fdd\u3001<br \/>\n(3)\u5de8\u5927\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u57cb\u3081\u8fbc\u307f\u306b\u3080\u3051\u305f\u30d3\u30eb\u30c7\u30a3\u30f3\u30b0\u30d6\u30ed\u30c3\u30af\u306e\u63d0\u4f9b\u3001<br \/>\n(4)\u8ab0\u3067\u3082\u81ea\u7531\u306b\u4f7f\u3048\u308b\u30e9\u30a4\u30bb\u30f3\u30b9\u306e\u8a2d\u5b9a(LGPL)<br \/>\n\u3067\u3042\u308b\u3002MPACK 0.5.0\u306f2009\/9\/24\u306b\u30ea\u30ea\u30fc\u30b9\u3055\u308c\u305f\u3002C++\u3067\u66f8\u304b\u308c\u3001\u5b9f\u3001\u8907\u7d20\u3092\u542b\u3093\u3060BLAS\u306e \u307b\u307c\u3059\u3079\u3066\u3001LAPACK\u306e50\u7a0b\u5ea6\u306e\u30eb\u30fc\u30c1\u30f3\u3092\u63d0\u4f9b\u3059\u308b\u3002\u591a\u500d\u9577\u7cbe\u5ea6\u6f14\u7b97\u30e9\u30a4\u30d6\u30e9\u30ea\u306fGMP\/QD\/DD\u3092 \u30b5\u30dd\u30fc\u30c8\u3059\u308b\u3002<a href=\"http:\/\/mplapack.sourceforge.net\/\">http:\/\/mplapack.sourceforge.net\/\u00a0<\/a><\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u3010\u30bb\u30c3\u30b7\u30e7\u30f3\uff13\uff1a\u56fa\u6709\u5024\u554f\u984c\uff12\u3011<\/strong>\u3000\u5ea7\u9577\uff1a\u591a\u7530\u91ce \u5bdb\u4eba\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f143\uff0813\uff1a50\uff5e14\uff1a20\uff09<br \/>\n\u5b9f\u5bfe\u79f0\u5b9a\u5024\u4e00\u822c\u56fa\u6709\u5024\u554f\u984c\u306e\u6307\u5b9a\u533a\u9593\u5185\u306e\u56fa\u6709\u5024\u306e\u6709\u7406\u95a2\u6570\u88dc\u9593\u3092\u7528\u3044\u305f\u8fd1\u4f3c\u89e3\u6cd5<br \/>\n\u6751\u4e0a \u5f18\uff08\u9996\u90fd\u5927\u5b66\u6771\u4eac\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u884c\u5217\u306e\u5b9f\u5bfe\u79f0\u5b9a\u5024\u4e00\u822c\u56fa\u6709\u5024\u554f\u984c\uff21\uff56\uff1d\u03bb\uff22\uff56\u306e\u56fa\u6709\u5024\u306f\uff0c \u9069\u5207\u306a\u30d9\u30af\u30c8\u30eb\uff48\u3092\u9078\u3079\u3070\uff0c\u4e00\u5909\u6570\u6709\u7406\u95a2\u6570\uff26\uff08\u03c1\uff09\uff1d \uff48^ \uff34\uff08\uff21\u30fc\u03c1\uff22\uff09^ \uff5b\u30fc\uff11\uff5d\uff48\u306e\u6975\u306e\u5024\u3067\u3042\u308b\uff0e\u6307\u5b9a\u3055\u308c\u305f \u533a\u9593\u5185\u306e\uff26\uff08\u03c1\uff09\u306e\u6975\u306e\u8fd1\u4f3c\u5024\u306f\uff0c\u533a\u9593\u5185\u306e\u76f4\u4ea4\u591a\u9805\u5f0f\u3092\u57fa\u5e95 \u3068\u3059\u308b\u591a\u9805\u5f0f\u3092\u5206\u5b50\u3068\u5206\u6bcd\u306b\u7528\u3044\u305f\u6709\u7406\u95a2\u6570\u88dc\u9593\u3092\u5229\u7528\u3057\u3066\u6c42\u3081\u308b\uff0e \u88dc\u9593\u306e\u5206\u70b9\u3092\u533a\u9593\u5185\u306e\u5b9f\u6570\u306e\u9078\u70b9\u306b\u63a1\u308b\u3053\u3068\u3067\uff0c\u6709\u7406\u95a2\u6570\uff26\uff08\u03c1\uff09 \u306e\u5024\u306f\u5b9f\u5bfe\u79f0\u884c\u5217\u3092\u4fc2\u6570\u3068\u3059\u308b\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u3066\u8a08\u7b97\u3067\u304d\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f144\uff0814\uff1a20\uff5e14\uff1a50\uff09<br \/>\n\u5bfe\u79f0\u4e09\u91cd\u5bfe\u89d2\u884c\u5217\u306b\u5bfe\u3059\u308b Wilkinson\u578b\u30de\u30eb\u30c1\u30b7\u30d5\u30c8\u3092\u7528\u3044\u305fQR \u6cd5\u306e\u5927\u57df\u7684\u53ce\u675f\u6027\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u76f8\u5cf6 \u5065\u52a9\uff08\u6771\u4eac\u5927\u5b66 D2\uff09\uff0c\u677e\u5c3e \u5b87\u6cf0\uff08\u6771\u4eac\u5927\u5b66\uff09\uff0c\u5ba4\u7530 \u4e00\u96c4\uff08\u6771\u4eac\u5927\u5b66\uff09\uff0c\u6749\u539f \u6b63\u986f\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u5bfe\u79f0\u4e09\u91cd\u5bfe\u89d2\u884c\u5217\u306e\u56fa\u6709\u5024\u8a08\u7b97\u6cd5\u3068\u3057\u3066QR\u6cd5\u304c\u3042\u308b\uff0e\u3053\u306eQR\u6cd5\u306e\u4e26\u5217\u5316\u306e\u7814\u7a76 \u306e\u4e2d\u3067\uff0c\u30b7\u30d5\u30c8\u3092\u8907\u6570\u5c0e\u5165\u3059\u308b\u30de\u30eb\u30c1\u30b7\u30d5\u30c8 QR \u6cd5\u304c\u8fd1\u5e74\u6ce8\u76ee\u3055\u308c\u3066\u3044\u308b\uff0e\u901a \u5e38\uff0c\u30b7\u30d5\u30c8\u306f\uff0c\u53f3\u4e0b\u306e\u30b5\u30a4\u30ba m \u306e\u5c0f\u884c\u5217\u306e m \u500b\u306e\u56fa\u6709\u5024\u3068\u3057\uff0c\u4e00\u822c\u5316\u30ec\u30a4\u30ea \u30fc\u5546\u30b7\u30d5\u30c8\u3068\u547c\u3070\u308c\u3066\u3044\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0c\u53f3\u4e0b\u306e\u30b5\u30a4\u30ba m+1 \u306e\u5c0f\u884c\u5217\u306e m \u500b \u306e\u56fa\u6709\u5024\u3092\u30b7\u30d5\u30c8\u306b\u9078\u3076 Wilkinson \u578b\u306e\u30b7\u30d5\u30c8\u3092\u63d0\u5531\u3057\uff0c\u3053\u306e\u3068\u304d\u306e\u30de\u30eb\u30c1\u30b7 \u30d5\u30c8QR \u6cd5\u306e\u5927\u57df\u7684\u53ce\u675f\u6027\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u3010\u30bb\u30c3\u30b7\u30e7\u30f3\uff14\uff1a\u7dda\u5f62\u65b9\u7a0b\u5f0f\uff11\u3011<\/strong>\u3000\u5ea7\u9577\uff1a\u677e\u5c3e \u5b87\u6cf0\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f145\uff0815\uff1a00\uff5e15\uff1a30\uff09<br \/>\nA variant algorithm of GPBiCG for solving linear systems<br \/>\n\u25cb\u963f\u90e8 \u90a6\u7f8e\uff08\u5c90\u961c\u8056\u5fb3\u5b66\u5712\u5927\u5b66\uff09\uff0cGerard L.G. Sleijpen\uff08Utrecht university\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u7dda\u5f62\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u89e3\u6cd5\u3068\u3057\u3066 GPBiCG\uff08Generalized product-type method derived from Bi-Conjugate gradient method\uff09\u306f\uff0c\u9ad8\u901f\u3067 \u30ed\u30d0\u30b9\u30c8\u306a\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\uff0eGPBiCG\u6cd5\u306f\u4e09\u9805\u6f38\u5316\u5f0f\u3092\u66f8\u304d\u63db\u3048\u305f \u4ea4\u4ee3\u6f38\u5316\u5f0f\u3092\u7528\u3044\u3066\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u5c0e\u51fa\u3055\u308c\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0c \u4e09\u9805\u6f38\u5316\u5f0f\u3092\u5229\u7528\u3057\u3066 GPBiCG \u6cd5\u3068\u6570\u5b66\u7684\u306b\u540c\u5024\u3067\u8868\u73fe\u306e\u7570\u306a\u308b \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u63d0\u6848\u3059\u308b\uff0e\u305d\u3057\u3066\uff0c\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u63d0\u6848\u3059\u308b\u65b9\u6cd5\u306e \u6709\u52b9\u6027\u3092\u793a\u3059\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f146\uff0815\uff1a30\uff5e15\uff1a50\uff09<br \/>\n\u30af\u30ea\u30ed\u30d5\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u524d\u51e6\u7406\u7cfb\u306b\u5bfe\u3059\u308b\u65b0\u3057\u3044\u89e3\u91c8<br \/>\n\u25cb\u4f0a\u85e4 \u7965\u53f8\uff08\u7406\u5316\u5b66\u7814\u7a76\u6240\uff09\uff0c\u6749\u539f \u6b63\u986f\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u4fc2\u6570\u884c\u5217\u306b\u4f5c\u7528\u3055\u305b\u308b\u524d\u51e6\u7406\u65b9\u5411\u306b\u5fdc\u3058\uff0c\u524d\u51e6\u7406\u4ed8\u304d \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u7570\u306a\u308a\uff0c\u53ce\u675f\u6027\u3082\u7570\u306a\u308b\u3068\u8003\u3048\u3089\u308c\u3066\u304d\u305f\uff0e \u672c\u767a\u8868\u3067\u306f\uff0c\u5f93\u6765\u306e\u5de6\u53f3\u4e21\u5074\u524d\u51e6\u7406\u306e\u5b9a\u7fa9\u306e\u554f\u984c\u70b9\u3092\u6307\u6458\u3057\uff0c \u65b0\u3057\u3044\u89e3\u91c8\u306b\u57fa\u3065\u304f\u5b9a\u7fa9\u3092\u793a\u3059\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f147\uff0815\uff1a50\uff5e16\uff1a10\uff09<br \/>\n\u53cc\u30e9\u30f3\u30c1\u30e7\u30b9\u7cfb\u7d71\u306e\u524d\u51e6\u7406\u4ed8\u304d\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u4f0a\u85e4 \u7965\u53f8\uff08\u7406\u5316\u5b66\u7814\u7a76\u6240\uff09\uff0c\u6749\u539f \u6b63\u986f\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u672c\u767a\u8868\u3067\u306f\uff0c\u53cc\u30e9\u30f3\u30c1\u30e7\u30b9\u7cfb\u7d71\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6027\u8cea\u306b \u6ce8\u76ee\u3057\u305f\u524d\u51e6\u7406\u4ed8\u304d\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u63d0\u6848\u3059\u308b\uff0e\u4f53\u7cfb\u7684 \u6027\u80fd\u8a55\u4fa1\u306e\u7d50\u679c\u3082\u793a\u3057\uff0c\u5f93\u6765\u304b\u3089\u30b9\u30bf\u30f3\u30c0\u30fc\u30c9\u3068\u3057\u3066 \u7528\u3044\u3089\u308c\u3066\u304d\u305f\u3082\u306e\u3088\u308a\uff0c\u672c\u63d0\u6848\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u65b9\u304c \u512a\u4f4d\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f148\uff0816\uff1a10\uff5e16\uff1a40\uff09<br \/>\nCutoff \u4ed8\u304d\u30d6\u30ed\u30c3\u30af\u8fd1\u4f3c\u9006\u884c\u5217\u524d\u51e6\u7406\u306e\u6027\u80fd\u8a55\u4fa1<br \/>\n\u25cb\u5c71\u5d0e \u80b2\u6717\uff08\u7b51\u6ce2\u5927\u5b66 M2\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\uff08Cray, Inc.\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u5206\u5b50\u8ecc\u9053\u8a08\u7b97\u306a\u3069\u304b\u3089\u73fe\u308c\u308b\u975e\u96f6\u8981\u7d20\u6570\u306e\u591a\u3044\u884c\u5217\u306b\u5bfe\u3057\uff0cCutoff \u4ed8\u304d\u30d6\u30ed\u30c3 \u30af\u8fd1\u4f3c\u9006\u884c\u5217\u524d\u51e6\u7406\u3092\u9069\u7528\u3059\u308b\uff0e Cutoff \u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u6027\u80fd\u306b\u5927\u304d\u304f\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u305f\u3081\uff0c\u305d\u306e\u9078\u629e\u65b9\u6cd5\u3092\u63d0\u6848\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u3010\u30bb\u30c3\u30b7\u30e7\u30f3\uff15\uff1a\u7dda\u5f62\u65b9\u7a0b\u5f0f\uff12\u30fb\u7279\u7570\u5024\u554f\u984c\u3011<\/strong>\u3000\u5ea7\u9577\uff1a\u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09<\/p>\n<ul>\n<li>\u8b1b\u6f149\uff0816\uff1a50\uff5e17\uff1a20\uff09<br \/>\n\u683c\u5b50QCD\u306b\u5bfe\u3059\u308b\u591a\u500d\u9577\u7cbe\u5ea6Krylov\u90e8\u5206\u7a7a\u9593\u53cd\u5fa9\u6cd5\u306e\u9069\u7528<br \/>\n\u25cb\u7247\u5ca1 \u5f18\u5e78\uff08\u7b51\u6ce2\u5927\u5b66 M2\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\u837b\u7530 \u6b66\u53f2\uff08\u6771\u4eac\u5973\u5b50\u5927\u5b66\uff09\uff0c\u85cf\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\u3092\u5229\u7528\u3057\u305fKrylov\u90e8\u5206\u7a7a\u9593\u53cd\u5fa9\u6cd5\u3092\u9069\u7528\u3057\uff0c\u6027\u80fd\u8a55\u4fa1\u3092\u884c\u3046\uff0e\u307e\u305f\uff0c\u8a08\u7b97\u904e \u7a0b\u3067\u767a\u751f\u3059\u308b\u8aa4\u5dee\u304c\u771f\u306e\u6b8b\u5dee\u306b\u4e0e\u3048\u308b\u5f71\u97ff\u306b\u3064\u3044\u3066\u89e3\u6790\u3092\u884c\u3046\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1410\uff0817\uff1a20\uff5e17\uff1a50\uff09<br \/>\nGMRES(m)\u6cd5\u306e\u30ea\u30b9\u30bf\u30fc\u30c8\u306b\u5bfe\u3059\u308b\u8003\u5bdf\u304a\u3088\u3073\u305d\u306e\u62e1\u5f35<br \/>\n\u25cb\u4eca\u5009\u6681\uff08\u540d\u53e4\u5c4b\u5927\u5b66 D2\uff09\uff0c\u66fd\u6211\u90e8\u77e5\u5e83\uff08\u611b\u77e5\u770c\u7acb\u5927\u5b66\uff09\uff0c\u5f35\u7d39\u826f\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u975e\u5bfe\u79f0\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u91cd\u8981\u306a\u89e3\u6cd5\u3068\u3057\u3066\u77e5\u3089\u308c\u308bGMRES(m)\u6cd5\u306f, GMRES\u6cd5\u306b\u5bfe\u3057, \u305d\u306e\u554f\u984c\u70b9\u3067\u3042\u308b\u6f14\u7b97\u91cf\u30fb\u8a18\u61b6\u5bb9\u91cf\u306e\u5897\u5927\u3092\u89e3\u6d88\u3059\u308b\u305f\u3081\u306b, \u30ea\u30b9\u30bf\u30fc\u30c8\u3092\u9069\u7528\u3057\u305f\u89e3\u6cd5\u3067\u3042\u308b. \u8fd1\u5e74, \u6211\u3005\u306fGMRES(m)\u6cd5\u306e\u5404\u30ea\u30b9\u30bf\u30fc\u30c8\u6642\u306e\u521d\u671f\u8fd1\u4f3c\u89e3\u306e\u8a2d\u5b9a\u306b\u7740\u76ee\u3057, GMRES(m)\u6cd5\u306e\u62e1\u5f35\u6cd5\u3092 \u63d0\u6848\u3057\u305f. \u672c\u767a\u8868\u3067\u306f, \u305d\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u8a73\u7d30\u3092\u7d39\u4ecb\u3057, \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6570\u7406\u7684\u610f\u5473\u306b\u3064\u3044\u3066\u8003\u5bdf\u3059\u308b.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1411\uff0817\uff1a50\uff5e18\uff1a20\uff09<br \/>\n\u7279\u7570\u5024\u5206\u89e3\u306e\u305f\u3081\u306e\u8d85\u5e73\u9762\u5236\u7d04\u6cd5\u306b\u95a2\u3059\u308b\u6570\u5024\u6027\u80fd\u8a55\u4fa1<br \/>\n\u25cb\u77e2\u8c37\u5065\u4e00\uff08\u4eac\u90fd\u5927\u5b66 M2\uff09\uff0c\u8fd1\u85e4\u5f18\u4e00\uff08\u540c\u5fd7\u793e\u5927\u5b66\uff09\uff0c\u5ca9\u5d0e\u96c5\u53f2\uff08\u4eac\u90fd\u5e9c\u7acb\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u884c\u5217\u306e\u7279\u7570\u5024\u5206\u89e3\u306e\u305f\u3081\u306e\u6570\u5024\u89e3\u6cd5\u3068\u3057\u3066\u8d85\u5e73\u9762\u5236\u7d04\u6cd5\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\uff0e\u3053\u306e \u8d85\u5e73\u9762\u5236\u7d04\u6cd5\u306e\u7279\u5fb4\u306f\uff0c\u7279\u7570\u30d9\u30af\u30c8\u30eb\u306e\u5b58\u5728\u7bc4\u56f2\u304c\u8d85\u5e73\u9762\u4e0a\u306b\u5236\u7d04\u3055\u308c\u305f\u65b9\u7a0b\u5f0f \u306e\u89e3\u3092\uff0cNewton\u6cd5\u306b\u4f3c\u305f\u53cd\u5fa9\u89e3\u6cd5\u306b\u3088\u3063\u3066\u6570\u5024\u7684\u306b\u6c42\u3081\u308b\u70b9\u3067\u3042\u308b.\u3059\u3079\u3066\u306e\u7279 \u7570\u5024\u30fb\u7279\u7570\u30d9\u30af\u30c8\u30eb\u306e\u7d44\u304c\u6c42\u307e\u308b\u3053\u3068\u306f\u7406\u8ad6\u7684\u306b\u8a3c\u660e\u6e08\u307f\u3067\u3042\u308b\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c \u8d85\u5e73\u9762\u5236\u7d04\u6cd5\u306e\u6570\u5024\u6027\u80fd\u8a55\u4fa1\u306e\u7d50\u679c\u3092\u793a\u3059\uff0e\u3042\u308f\u305b\u3066\uff0c\u65e2\u5b58\u306e\u7279\u7570\u5024\u5206\u89e3\u6cd5\u3068\u306e \u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u7248\u306e\u63d0\u6848\uff0c\u304a\u3088\u3073\uff0c\u6570\u5024\u6027\u80fd\u8a55\u4fa1\u3092\u884c\u3046\uff0e<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong>\u30af\u30ed\u30fc\u30b8\u30f3\u30b0<span style=\"font-family: HiraKakuPro-W3;\">\u3000<\/span><\/strong>\u5e79\u4e8b\uff1a\u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09\uff0818\uff1a20\uff09<\/p>\n<hr \/>\n<p><a name=\"L2\"><\/a><strong>\u904b\u55b6\u59d4\u54e1\u4f1a<\/strong><\/p>\n<ul>\n<li>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a\u300c\u884c\u5217\u30fb\u56fa\u6709\u5024\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u300d\u7814\u7a76\u90e8\u4f1a<span style=\"font-family: HiraKakuPro-W3;\">\u3000<\/span>\u7b2c\uff12\u56de\u904b\u55b6\u59d4\u54e1\u4f1a\uff0812:20\uff5e12:50\uff09<br \/>\n\u5834\u6240\uff1a\uff12\uff10\u968e\u30bb\u30df\u30ca\u30fc\u5ba4\uff11\uff08\uff12\uff10\uff10\uff16\u53f7\u5ba4\uff09<\/li>\n<\/ul>\n<p><a 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