{"id":1058,"date":"2015-12-12T14:47:10","date_gmt":"2015-12-12T05:47:10","guid":{"rendered":"http:\/\/mepa.jsiam.org\/?page_id=1058"},"modified":"2016-02-24T19:40:42","modified_gmt":"2016-02-24T10:40:42","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-2016%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=1058","title":{"rendered":"\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2016\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a"},"content":{"rendered":"<h4 style=\"text-align: center;\"><strong>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2016\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a<\/strong><\/h4>\n<h4 style=\"text-align: center;\"><\/h4>\n<ul>\n<li>\u65e5\u7a0b\uff1a2016\u5e743\u67084\u65e5 (\u91d1) \u301c 3\u67085\u65e5 (\u571f)<\/li>\n<li>\u4f1a\u5834\uff1a\u795e\u6238\u5b66\u9662\u5927\u5b66\u30dd\u30fc\u30c8\u30a2\u30a4\u30e9\u30f3\u30c9\u30ad\u30e3\u30f3\u30d1\u30b9<\/li>\n<li>\u4f4f\u6240\uff1a\u3012650-8586\u3000\u5175\u5eab\u770c\u795e\u6238\u5e02\u4e2d\u592e\u533a\u6e2f\u5cf61-1-3<\/li>\n<li>\u9023\u5408\u767a\u8868\u4f1a\u5168\u4f53\u306e\u30da\u30fc\u30b8\uff1a<a href=\"http:\/\/union2016.jsiam.org\">http:\/\/union2016.jsiam.org<\/a><br \/>\n<hr \/>\n<\/li>\n<\/ul>\n<h5 style=\"text-align: center;\"><strong>\u30d7\u30ed\u30b0\u30e9\u30e0\uff08\u7814\u7a76\u90e8\u4f1a\u95a2\u9023\u90e8\u5206\u306e\u307f\uff09<\/strong><\/h5>\n<h6><strong>3\u67084\u65e5 (\u91d1)\u3000\u4f1a\u5834\uff1aB213<\/strong><\/h6>\n<p><strong>\u30bb\u30c3\u30b7\u30e7\u30f31\uff1a\u7dda\u5f62\u65b9\u7a0b\u5f0f\uff08<span style=\"color: #ff0000;\">13:50<\/span> &#8211; 14:50\uff09\u3000\u5ea7\u9577\uff1a\u4eca\u5009 \u6681\uff08\u7b51\u6ce2\u5927\u5b66\uff09<br \/>\n\u203b \u4ed6\u306e\u30bb\u30c3\u30b7\u30e7\u30f3\u3088\u308a\u308220\u5206\u9045\u308c\u3066\u306e\u958b\u59cb\u3068\u306a\u308a\u307e\u3059\uff0e\u3054\u6ce8\u610f\u4e0b\u3055\u3044\uff0e<\/strong><\/p>\n<ul>\n<li>\u8b1b\u6f141\uff0813:50 &#8211; 14:10\uff09<br \/>\nInner-iteration Preconditioning of Normal Equations in an Interior-point Method for LP<br \/>\n\u25cbYiran Cui (University College London), \u4fdd\u570b\u60e0\u4e00(\u7b51\u6ce2\u5927\u5b66), \u571f\u8c37 \u9686\uff08\u653f\u7b56\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66), \u901f\u6c34 \u8b19(\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240)<\/p>\n<blockquote><p>Abstract:\u00a0We apply inner-iteration preconditioners to Krylov subspace methods for the normal equations given in an interior-point algorithm for solving linear programming. The inner-iteration preconditioners cope with severely ill-conditioned linear equations in the final phase of the interior-point iterations. The advantage of our methods is that it does not break down even when previous direct methods do. Finally, numerical experiments show that AB-GMRES method is the most robust compared to the other iterative methods tested.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f142\uff0814:10 &#8211; 14:30\uff09<br \/>\n\u534a\u6b63\u5b9a\u5024\u7cfb\u306b\u5bfe\u3059\u308bEisenstat SSOR\u306b\u3088\u308b\u53f3\u524d\u51e6\u7406MINRES\u6cd5\u3068\uff0c\u7279\u7570\u7cfb\u3078\u306e\u53f3\u524d\u51e6\u7406MINRES\u6cd5\u306e\u53ce\u675f\u6027<br \/>\n\u25cb\u6749\u539f\u5149\u592a\uff08\u7dcf\u5408\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66\uff09\uff0c\u901f\u6c34\u3000\u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff0c\u7dcf\u5408\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66\uff09\uff0cNing Zheng (\u7dcf\u5408\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u758e\u3067\u5bfe\u79f0\u534a\u6b63\u5b9a\u5024\u7cfb\u306e\u89e3\u6cd5\u3068\u3057\u3066\uff0c\u53f3\u8fba\u304c\u884c\u5217\u306e\u5024\u57df\u306b\u5165\u3089\u306a\u3044\u969b\u3082\u6700\u5c0f\u4e8c\u4e57\u89e3\u306b\u53ce\u675f\u3059\u308bMINRES\u6cd5\u3092\u63a1\u7528\u3059\u308b\uff0eMINRES\u6cd5\u3092\u7279\u7570\u7cfb\u306b\u9069\u7528\u3057\u305f\u969b\uff0c\u554f\u984c\u306e\u7b49\u4fa1\u6027\u3092\u4fdd\u3061\u3084\u3059\u3044\u53f3\u524d\u51e6\u7406\u3092\u7528\u3044\uff0c\u5b9a\u5f0f\u5316\u3059\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\u7279\u7570\u7cfb\u3078\u306e\u53ce\u675f\u6027\u3092\u7406\u8ad6\u89e3\u6790\u3059\u308b\uff0e\u307e\u305fEisenstat&#8217;s trick\u3092SSOR\u53f3\u524d\u51e6\u7406\u306b\u9069\u7528\u3057 \u305fMINRES\u6cd5\u306a\u3089\u3073\u306b\u305d\u306e\u30ea\u30b9\u30bf\u30fc\u30c8\u3092\u63d0\u6848\u3057\uff0c\u96fb\u78c1\u5834\u89e3\u6790\u3068\u3044\u3063\u305f\u5b9f\u554f\u984c\u306b\u3082\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u6709\u52b9\u6027\u3092\u691c\u8a3c\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f143\uff0814:30 &#8211; 14:50\uff09<br \/>\n\u77ed\u3044\u6f38\u5316\u5f0f\u3092\u7528\u3044\u308bKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u53ce\u675f\u5b89\u5b9a\u5316\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u76f8\u539f \u7814\u8f14\uff08\u6771\u4eac\u7406\u79d1\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u8fd1\u4f3c\u89e3\u3084\u6b8b\u5dee\u3092\u77ed\u3044\u6f38\u5316\u5f0f\u306b\u3088\u3063\u3066\u66f4\u65b0\u3059\u308bKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u3067\u306f\uff0c\u884c\u5217\u30d9\u30af\u30c8\u30eb\u7a4d\u304b\u3089\u767a\u751f\u3059\u308b\u4e38\u3081\u8aa4\u5dee\u306e\u5f71\u97ff\u306b\u3088\u308a\uff0c\u53ce\u675f\u901f\u5ea6\u306e\u4f4e\u4e0b\u3084\u8fd1\u4f3c\u89e3\u7cbe\u5ea6\u306e\u52a3\u5316\u304c\u8d77\u304d\u308b\u5834\u5408\u304c\u3042\u308b\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u53cc\u5171\u5f79\u6b8b\u5dee\u6cd5\u306a\u3069\u3067\u7528\u3044\u3089\u308c\u308b\u6f38\u5316\u5f0f\u306b\u7740\u76ee\u3057\uff0c\u4e38\u3081\u8aa4\u5dee\u306e\u53ce\u675f\u6027\u3078\u306e\u5f71\u97ff\u3092\u89e3\u6790\u3059\u308b\uff0e\u305d\u3057\u3066\uff0c\u4e38\u3081\u8aa4\u5dee\u306e\u5f71\u97ff\u3092\u6291\u3048\u308b\u305f\u3081\uff0c\u3044\u304f\u3064\u304b\u306e\u88dc\u52a9\u30d9\u30af\u30c8\u30eb\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u306a\u304c\u3089\u66f4\u65b0\u3092\u884c\u3046\u65b9\u6cd5\u3092\u63d0\u6848\u3059\u308b\uff0e\u6570\u5024\u5b9f\u9a13\u3092\u901a\u3057\u3066\uff0c\u63d0\u6848\u624b\u6cd5\u306e\u6709\u52b9\u6027\u3092\u793a\u3059\uff0e<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong><br \/>\n\u30bb\u30c3\u30b7\u30e7\u30f32\uff1a\u30e9\u30a4\u30d6\u30e9\u30ea\u30fbHPC\uff0815:00 &#8211; 16:20\uff09\u3000\u5ea7\u9577\uff1a\u5bae\u5cf6 \u4fe1\u4e5f\uff08\u5c90\u961c\u5927\u5b66\uff09<\/strong><\/p>\n<ul>\n<li>\u8b1b\u6f144\uff0815:00 &#8211; 15:20\uff09<br \/>\nBlock communication avoiding Householder tridiagonalization\u5b9f\u88c5\u4e0a\u306e\u554f\u984c\u70b9\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u4eca\u6751\u4fca\u5e78\uff08\u7406\u5316\u5b66\u7814\u7a76\u6240\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u901a\u4fe1\u56de\u907f\u306e\u8003\u3048\u65b9\u306b\u57fa\u3065\u304f\u30cf\u30a6\u30b9\u30db\u30eb\u30c0\u30fc\u4e09\u91cd\u5bfe\u89d2\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u81ea\u7136\u306a\u5f62\u3067\u30d6\u30ed\u30c3\u30af\u5316\u3059\u308b\u3068\u304d\u306b\u8003\u616e\u3057\u306a\u304f\u3066\u306f\u306a\u3089\u306a\u3044\u5b9f\u88c5\u4e0a\u306e\u554f\u984c\u70b9\u306b\u3064\u3044\u3066\u3001\u4e26\u5217\u6027\u80fd\u3068\u7cbe\u5ea6\u306a\u3069\u306e\u89b3\u70b9\u304b\u3089\u63d0\u8b70\u3057\u3064\u3064\u8b70\u8ad6\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<ul>\n<li>\u8b1b\u6f145\uff0815:20 &#8211; 15:40\uff09<br \/>\n<span style=\"font-size: 14px;\">CPU\/GPU\u6df7\u5728\u74b0\u5883\u306b\u304a\u3051\u308b\u518d\u5e30\u7684\u30bf\u30a4\u30ebQR\u5206\u89e3\u306e\u52d5\u7684\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u5b9f\u88c5<br \/>\n<\/span><span style=\"font-size: 14px;\">\u25cb\u9ad8\u67f3\u96c5\u4fca\uff08\u5c71\u68a8\u5927\u5b66\uff09\uff0c\u9234\u6728\u667a\u535a\uff08\u5c71\u68a8\u5927\u5b66)<\/span><\/p>\n<blockquote><p>\u6982\u8981\uff1aCPU\/GPU \u6df7\u5728\u74b0\u5883\u306b\u304a\u3051\u308b\u30bf\u30a4\u30ebQR\u5206\u89e3\u306b\u304a\u3044\u3066\u3001CPU \u3067\u306f\u5c0f\u3055\u3044\u30bf\u30a4\u30eb\u30b5\u30a4\u30ba\u3001GPU \u3067\u306f\u5927\u304d\u3044\u30bf\u30a4\u30eb\u30b5\u30a4\u30ba\u3067\u306e\u51e6\u7406\u304c\u9069\u3057\u3066\u3044\u308b\u3002CPU \u3068 GPU \u3067\u7570\u306a\u308b\u30b5\u30a4\u30ba\u306e\u30bf\u30a4\u30eb\u3092\u5272\u308a\u5f53\u3066\u308b\u518d\u5e30\u7684\u30bf\u30a4\u30ebQR\u5206\u89e3\u3092\u5b9f\u88c5\u3057\uff0c\u30bf\u30b9\u30af\u306e\u52d5\u7684\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u306e\u305f\u3081\u306b OpenMP 4.0 \u306e task \u7bc0\u3092\u4f7f\u7528\u3057\u3066\u5b9f\u88c5\u3092\u884c\u3063\u305f\u3002\u767a\u8868\u3067\u306f\u3001\u5b9f\u88c5\u65b9\u6cd5\u3084\u5b9f\u9a13\u306b\u3088\u308b\u6027\u80fd\u8a55\u4fa1\u306b\u3064\u3044\u3066\u5831\u544a\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f146\uff0815:40 &#8211; 16:00\uff09<br \/>\n\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u6570\u5024\u89e3\u6cd5\u306e\u5927\u898f\u6a21\u7269\u8cea\u8a08\u7b97\u3078\u306e\u5c55\u958b<br \/>\n\u25cb\u4e95\u753a\u5b8f\u4eba(\u9ce5\u53d6\u5927), \u5bae\u6b66\u52c7\u767b(\u540d\u53e4\u5c4b\u5927), \u661f\u5065\u592b(\u9ce5\u53d6\u5927)<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u5927\u898f\u6a21\u91cf\u5b50\u7269\u8cea\u8a08\u7b97(\u6709\u6a5f\u30c7\u30d0\u30a4\u30b9\u7269\u8cea\u7cfb\u3067\u306e\u96fb\u5b50\u6ce2\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u306a\u3069) \u3078\u306e\u5c55\u958b\u3092\u76ee\u6307\u3057\u3066\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u6570\u5024\u89e3\u6cd5\u306e\u30b3\u30fc\u30c9\u4f5c\u6210\u3068\u6027\u80fd\u8a55\u4fa1\u3092\u884c\u3063\u305f\u3002\u539f\u5b50\u69cb\u9020\u306b\u7531\u6765\u3059\u308b\u975e\u7dda\u5f62\u884c\u5217\u65b9\u7a0b\u5f0f\u3092\u76ee\u7684\u3068\u3057\u3001\u6642\u9593\u767a\u5c55\u306b\u306f\u5927\u898f\u6a21\u7dda\u5f62\u30bd\u30eb\u30d0\u30fc\u3092\u5fc5\u8981\u3068\u3059\u308b\u3002\u5bae\u6b66\u3089\u306e\u65b0\u3057\u3044\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u89e3\u6cd5\u3092\u4e2d\u5fc3\u3068\u3057\u3066\u3001\u967d\u7684Runge-Kutta\u6cd5\u3001\u30b7\u30f3\u30d7\u30ec\u30af\u30c6\u30a3\u30c3\u30af\u89e3\u6cd5\u3001\u5f93\u6765\u578b\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u89e3\u6cd5\u3082\u5b9f\u88c5\u3057\u305f\u30df\u30cb\u30a2\u30d7\u30ea\u3092\u4f5c\u6210\u3057\u3001\u7cbe\u5ea6\u30fb\u8a08\u7b97\u6642\u9593\u3092\u6bd4\u8f03\u3057\u305f\u3002\u5c55\u671b\u3068\u3057\u3066\u3001\u758e\u884c\u5217\u578b\u7dda\u5f62\u30bd\u30eb\u30d0\u30fc\u306e\u5229\u7528\u306a\u3069\u304c\u3042\u3052\u3089\u308c\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<ul>\n<li>\u8b1b\u6f147\uff0816:00 &#8211; 16:20\uff09<br \/>\nELSES matrix library\uff1a\u65b0\u3057\u3044\u758e\u884c\u5217\u30e9\u30a4\u30d6\u30e9\u30ea\u3068\u7269\u8cea\u79d1\u5b66\u5b9f\u554f\u984c<br \/>\n\u25cb\u661f\u5065\u592b(\u9ce5\u53d6\u5927)\u3001\u4e95\u753a\u5b8f\u4eba(\u9ce5\u53d6\u5927)<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u5927\u898f\u6a21\u91cf\u5b50\u7269\u8cea\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u51fa\u529b\u30c7\u30fc\u30bf\u306b\u3088\u308a\u3001\u65b0\u3057\u3044\u758e\u884c\u5217\u30e9\u30a4\u30d6\u30e9\u30eaELSES matrix library\u304c\u8fd1\u5e74\u516c\u958b\u3055\u308c\u305f(http:\/\/www.elses.jp\/matrix\/)\u3002\u3053\u3046\u3057\u305f\u30c7\u30fc\u30bf\u306f\u3053\u308c\u307e\u3067\u6570\u7a2e\u306e\u758e\u884c\u5217\u30bd\u30eb\u30d0\u30fc\u7814\u7a76\u306b\u4f7f\u308f\u308c\u3066\u304d\u305f\u3002\u4e00\u822c\u516c\u958b\u3059\u308b\u3053\u3068\u3067\u3001\u7269\u8cea\u79d1\u5b66\u3068\u6570\u7406\u79d1\u5b66\u306e\u5171\u540c\u7814\u7a76\u62e0\u70b9\u306b\u767a\u5c55\u3059\u308b\u3053\u3068\u3092\u671f\u5f85\u3059\u308b\u3002\u8b1b\u6f14\u3067\u306f\u30e9\u30a4\u30d6\u30e9\u30ea\u306e\u6982\u8981\u3068\u3001\u30c7\u30fc\u30bf\u79d1\u5b66\u7684\u8996\u70b9\u304b\u3089\u306e\u65b0\u3057\u3044\u9700\u8981(\u56fa\u6709\u5024\u554f\u984c\u306b\u304a\u3051\u308bParticipation Ratio\u8a08\u7b97)\u3092\u8ff0\u3079\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong><br \/>\n\u30bb\u30c3\u30b7\u30e7\u30f33\uff1a\u884c\u5217\u65b9\u7a0b\u5f0f\u30fb\u884c\u5217\u95a2\u6570\u30fb\u30c6\u30f3\u30bd\u30eb\uff0816:30 &#8211; 17:50\uff09\u3000\u5ea7\u9577\uff1a\u4e2d\u52d9 \u4f51\u6cbb\uff08\u6771\u4eac\u5927\u5b66\uff09<\/strong><\/p>\n<ul>\n<li>\u8b1b\u6f148\uff0816:30 &#8211; 16:50\uff09<br \/>\nFast verified computation for solutions of nonsymmetric algebraic Riccati equations arising in transport theory<br \/>\n\u25cb\u5bae\u5cf6\u4fe1\u4e5f\uff08\u5c90\u961c\u5927\u5b66\uff09<\/p>\n<blockquote><p>Abstract:\u00a0A fast algorithm for enclosing the solution of the nonsymmetric algebraic Riccati equation arising in transport theory is proposed. The enclosing process involves only square complexity under a reasonable assumption.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f149\uff0816:50 &#8211; 17:10\uff09<br \/>\n\u884c\u5217\u6307\u6570\u95a2\u6570\u306e\u305f\u3081\u306eInexact Shift-invert Arnoldi\u6cd5<br \/>\n\u25cb\u6a4b\u672c\u60a0\u9999\uff08\u6176\u61c9\u7fa9\u587e\u5927\u5b66\u7406\u5de5\u5b66\u90e84\u5e74\uff09\uff0c\u91ce\u5bfa\u9686\uff08\u6176\u61c9\u7fa9\u587e\u5927\u5b66\u7406\u5de5\u5b66\u90e8\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u884c\u5217\u6307\u6570\u95a2\u6570\u306e\u8a08\u7b97\u306f\u7dda\u5f62\u767a\u5c55\u65b9\u7a0b\u5f0f\u306e\u521d\u671f\u5024\u5883\u754c\u5024\u554f\u984c\u306e\u6570\u5024\u89e3\u3092\u6c42\u3081\u308b\u4e0a\u3067\u91cd\u8981\u3067\u3042\u308b\uff0e\u901a\u5e38\uff0c\u3053\u306e\u3088\u3046\u306a\u554f\u984c\u306f\u5927\u898f\u6a21\u306b\u306a\u308b\u306e\u3067\uff0cKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u304c\u591a\u3044\uff0eMoret\u3089[BIT vol. 44, pp. 595-615, 2004] \u306b\u3088\u3063\u3066\u63d0\u6848\u3055\u308c\u305fShift-invert Arnoldi\u6cd5\u3092\u5229\u7528\u3059\u308c\u3070\uff0c\u53cd\u5fa9\u56de\u6570\u3092\u3042\u308b\u7a0b\u5ea6\u6e1b\u5c11\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u3057\u304b\u3057\uff0c\u3053\u306e\u65b9\u6cd5\u3067\u306f\uff0c1\u56de\u306e\u53cd\u5fa9\u306b\u5fc5\u8981\u306a\u8a08\u7b97\u30b3\u30b9\u30c8\u304c\u5927\u304d\u3044\u305f\u3081\uff0c\u304b\u306a\u308a\u306e\u8a08\u7b97\u6642\u9593\u3092\u5fc5\u8981\u3068\u3059\u308b\uff0e\u305d\u3053\u3067\uff0c\u672c\u767a\u8868\u3067\u306fShift-invert Arnoldi\u6cd5\u306e\u6bce\u56de\u306e\u53cd\u5fa9\u306b\u5fc5\u8981\u306a\u8a08\u7b97\u30b3\u30b9\u30c8\u3092\u6e1b\u5c11\u3055\u305b\u308b\u65b0\u3057\u3044\u7b97\u6cd5\u3092\u63d0\u6848\u3059\u308b.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1410\uff0817:10 &#8211; 17:30\uff09<br \/>\nExponential integrator \u306b\u73fe\u308f\u308c\u308b\u884c\u5217\u95a2\u6570\u306e\u8a08\u7b97\u6cd5<br \/>\n\u25cb\u4e2d\u6751\u771f\u8f14\uff08\u79cb\u7530\u770c\u7acb\u5927\u5b66\uff09\uff0c\u5c0f\u6fa4\u4e00\u6587\uff08\u79cb\u7530\u770c\u7acb\u5927\u5b66\uff09\uff0c\u5ee3\u7530\u5343\u660e\uff08\u79cb\u7530\u770c\u7acb\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u8fd1\u5e74\uff0c\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u305f\u3081\u306e\u6570\u5024\u89e3\u6cd5\u3068\u3057\u3066\uff0c\u884c\u5217\u95a2\u6570\u3068\u30d9\u30af\u30c8\u30eb\u306e\u7a4d\u3092\u542b\u3080 exponential integrator \u3068\u547c\u3070\u308c\u308b\u96e2\u6563\u5909\u6570\u6cd5\u306e\u30af\u30e9\u30b9\u306b\u3064\u3044\u3066\u306e\u7814\u7a76\u304c\u76db\u3093\u3067\u3042\u308b\uff0e\u3053\u3053\u3067\u3044\u3046\u95a2\u6570\u3068\u306f\u6307\u6570\u95a2\u6570\u3092\u542b\u3080\u03c6\u95a2\u6570\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3092\u6307\u3059\uff0e\u305d\u306e\u305f\u3081\uff0c\u3053\u308c\u3089\u306e\u884c\u5217\u95a2\u6570\u306e\u8a08\u7b97\u6cd5\u306b\u3064\u3044\u3066\u3082\u69d8\u3005\u306a\u624b\u6cd5\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\u304c\uff0c\u7279\u306b scaling and squaring method \u304c\u6700\u3082\u5e83\u304f\u7528\u3044\u3089\u308c\u3066\u3044\u308b\uff0e\u3057\u304b\u3057\uff0cscaling and squaring method \u306f\u4e38\u3081\u8aa4\u5dee\u304c\u5927\u304d\u304f\u306a\u308b\u5834\u5408\u304c\u3042\u308b\uff0e\u307e\u305f\uff0c\u7279\u306b\u30b9\u30ab\u30e9\u306e\u5834\u5408\u3067\u306f\uff0c\u6307\u6570\u95a2\u6570\u306e\u8a08\u7b97\u306b\u304a\u3044\u3066 squaring \u306e\u7cbe\u5ea6\u306e\u6539\u5584\u624b\u9806\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\uff0e\u305d\u3053\u3067\uff0c\u3053\u306e\u6539\u5584\u624b\u9806\u3092\u884c\u5217\u6307\u6570\u95a2\u6570\u304a\u3088\u3073\u03c6\u95a2\u6570\u306b\u62e1\u5f35\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u63d0\u6848\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1411\uff0817:30 &#8211; 17:50\uff09<br \/>\n\u91cd\u8abf\u548c\u4f5c\u7528\u7d20\u306e\u967d\u7684\u306aQTT\u5206\u89e3\u3068\u305d\u306e\u5fdc\u7528<br \/>\n\u25cb\u4e2d\u6751 \u5065\u543e\uff08\u6771\u4eac\u5927\u5b66\u5de5\u5b66\u90e8\uff09\uff0c\u677e\u5c3e \u5b87\u6cf0\uff08\u6771\u4eac\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u9ad8\u6b21\u5143\u3082\u3057\u304f\u306f\u975e\u5e38\u306b\u8981\u7d20\u6570\u306e\u591a\u3044\u30c6\u30f3\u30bd\u30eb\u3092\u5c11\u306a\u3044\u6570\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u5206\u89e3\u30fb\u8fd1\u4f3c\u3059\u308b\u624b\u6cd5\u3068\u3057\u3066\uff0cQuantized Tensor Train (QTT) \u304c\u8fd1\u5e74\u3088\u304f\u7528\u3044\u3089\u308c\u3066\u3044\u308b\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u9ad8\u6b21\u5143\u7a7a\u9593\u4e2d\u306e\u91cd\u8abf\u548c\u4f5c\u7528\u7d20\u306e\u7b49\u9593\u9694\u96e2\u6563\u5316\u884c\u5217\u306e\u6b63\u78ba\u306aQTT\u5206\u89e3\u3092\u967d\u306a\u5f62\u3067\u4e0e\u3048\uff0c\u3055\u3089\u306b\u305d\u306e\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u8a08\u7b97\u3078\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u8ff0\u3079\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<h6><strong><br \/>\n3\u67085\u65e5 (\u571f)\u3000\u4f1a\u5834\uff1aB213<\/strong><\/h6>\n<p><strong>\u30bb\u30c3\u30b7\u30e7\u30f34\uff1a\u7279\u7570\u5024\uff0809:40 &#8211; 11:00\uff09\u3000\u5ea7\u9577\uff1a\u5ca9\u5d0e \u96c5\u53f2\uff08\u4eac\u90fd\u5e9c\u7acb\u5927\u5b66\uff09<\/strong><\/p>\n<ul>\n<li>\u8b1b\u6f1412\uff0809:40 &#8211; 10:00\uff09<br \/>\n\u30b7\u30e5\u30c6\u30a3\u30fc\u30d5\u30a7\u30eb\u591a\u69d8\u4f53\u4e0a\u306e\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u306b\u57fa\u3065\u304f\u8fd1\u63a5\u7279\u7570\u5024\u3092\u3082\u3064\u884c\u5217\u306b\u5bfe\u3059\u308b\u7279\u7570\u5024\u5206\u89e3\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<br \/>\n\u25cb\u4f50\u85e4\u5bdb\u4e4b\uff08\u6771\u4eac\u7406\u79d1\u5927\u5b66\uff09\uff0c\u76f8\u539f\u7814\u8f14\uff08\u6771\u4eac\u7406\u79d1\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u7279\u7570\u5024\u5206\u89e3\u306f2\u3064\u306e\u30b7\u30e5\u30c6\u30a3\u30fc\u30d5\u30a7\u30eb\u591a\u69d8\u4f53\u306e\u7a4d\u591a\u69d8\u4f53\u4e0a\u306e\u3042\u308b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3068\u7b49\u4fa1\u3067\u3042\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u304a\u308a\uff0c\u3053\u306e\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3059\u308b\u591a\u69d8\u4f53\u4e0a\u306e\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u306f2\u6b21\u53ce\u675f\u6027\u3092\u3082\u3064\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u306e\u5404\u53cd\u5fa9\u3067\u73fe\u308c\u308b\u30cb\u30e5\u30fc\u30c8\u30f3\u65b9\u7a0b\u5f0f\u306e\u52b9\u7387\u7684\u306a\u89e3\u6cd5\u3092\u7d39\u4ecb\u3057\uff0c\u3053\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\uff0c\u8fd1\u63a5\u7279\u7570\u5024\u3092\u3082\u3064\u884c\u5217\u306b\u5bfe\u3057\u3066\u3082\u305d\u306e\u7279\u7570\u5024\u304a\u3088\u3073\u7279\u7570\u30d9\u30af\u30c8\u30eb\u3092\u7cbe\u5ea6\u3088\u304f\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u3092\u6570\u5024\u7684\u306b\u691c\u8a3c\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1413\uff0810:00 &#8211; 10:20\uff09<br \/>\ndqds\u6cd5\u304a\u3088\u3073mdLVs\u6cd5\u306e\u65b0\u3057\u3044\u5b9f\u88c5\u6cd5\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u6728\u6751\u6b23\u53f8\uff08\u4eac\u5927\u60c5\u5831\uff09, \u4e2d\u6751\u4f73\u6b63\uff08\u4eac\u5927\u60c5\u5831\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a2\u91cd\u5bfe\u89d2\u884c\u5217\u306e\u7279\u7570\u5024\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306bdqds\u6cd5\u304a\u3088\u3073mdLVs\u6cd5\u304c\u3042\u308a\uff0c\u3068\u3082\u306b\u76f8\u5bfe\u8aa4\u5dee\u306e\u610f\u5473\u3067\u9ad8\u7cbe\u5ea6\u306a\u7279\u7570\u5024\u304c\u8a08\u7b97\u3067\u304d\u308b\u3053\u3068\u304c\u8a3c\u660e\u3055\u308c\u3066\u3044\u308b. \u3055\u3089\u306b, dqds\u6cd5\u306f, dlasq*\u3068\u3057\u3066LAPACK\u306b\u5b9f\u88c5\u3055\u308c\u3066\u3044\u308b. \u3057\u304b\u3057, dlasq*\u306f,\u884c\u5217\u5f0f\u306e\u8003\u5bdf\u304b\u3089\u30d5\u30eb\u30e9\u30f3\u30af\u3068\u78ba\u5b9a\u3057\u3066\u3044\u308b70000 \u6b21\u5143\u304a\u3088\u3073150000\u6b21\u5143\u306e\u4e00\u69d8\u4e71\u6570\u884c\u5217\u306b\u5bfe\u3057\u3066\u6700\u5c0f\u7279\u7570\u5024\u3068\u3057\u30660\u3092\u51fa\u529b\u3057, \u5b9f\u88c5\u4e0a\u306f\u76f8\u5bfe\u8aa4\u5dee\u306e\u610f\u5473\u3067\u306e\u9ad8\u7cbe\u5ea6\u6027\u3092\u9054\u6210\u3067\u304d\u3066\u3044\u306a\u3044. \u672c\u8b1b\u6f14\u3067\u306f\u3053\u306e\u554f\u984c\u70b9\u3092\u514b\u670d\u3059\u308b\u5b9f\u88c5\u6cd5\u3092\u63d0\u6848\u3057,dqds \u6cd5\u3068mdLVs\u6cd5\u306e\u6bd4\u8f03\u691c\u8a0e\u3092\u884c\u3046.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1414\uff0810:20 &#8211; 10:40\uff09<br \/>\n\u30af\u30e9\u30b9\u30bf\u884c\u5217\u306b\u5bfe\u3059\u308b\u76f4\u4ea4QD\u6cd5\u306e\u7279\u7570\u5024\u5206\u89e3\u7cbe\u5ea6\u3092\u6539\u5584\u3059\u308b\u505c\u6b62\u6761\u4ef6\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u8352\u6728\u7fd4(\u4eac\u90fd\u5927\u5b66), \u6728\u6751\u6b23\u53f8(\u4eac\u90fd\u5927\u5b66), \u4e2d\u6751\u4f73\u6b63(\u4eac\u90fd\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a2\u91cd\u5bfe\u89d2\u884c\u5217\u306b\u5bfe\u3059\u308b\u76f4\u4ea4QD\u6cd5\u306f\u591a\u304f\u306e\u884c\u5217\u306b\u5bfe\u3057Demmel-Kahan QR\u6cd5\u3088\u308a\u3082\u9ad8\u3044\u7279\u7570\u5024\u5206\u89e3\u7cbe\u5ea6\u3092\u793a\u3059\u304c\uff0c\u5f93\u6765\u306e\u505c\u6b62\u6761\u4ef6\u3067\u306f\u7279\u7570\u5024\u304c\u5358\u72ec\u306e\u30af\u30e9\u30b9\u30bf\u3092\u306a\u3059\u884c\u5217\u306e\u5206\u89e3\u7cbe\u5ea6\u306b\u304a\u3044\u3066QR\u6cd5\u306b\u52a3 \u308b\u30b1\u30fc\u30b9\u304c\u5b58\u5728\u3057\u305f\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u9006\u884c\u5217\u306e1-\u30ce\u30eb\u30e0\u304a\u3088\u3073\u221e-\u30ce\u30eb\u30e0\u3092\u5229\u7528\u3059\u308b\u65b0\u305f\u306a\u505c\u6b62\u6761\u4ef6\u306e\u3082\u3068\u3067\uff0c\u30af\u30e9\u30b9\u30bf\u884c\u5217\u306b\u5bfe\u3059\u308b\u76f4\u4ea4QD\u6cd5 \u306e\u7279\u7570\u5024\u5206\u89e3\u306e\u7cbe\u5ea6\u304c\u6539\u5584\u3059\u308b\u3053\u3068\u3092\u6570\u5024\u5b9f\u9a13\u3067\u793a\u3057\uff0c\u3053\u306e\u505c\u6b62\u6761\u4ef6\u306e\u7406\u8ad6\u7684\u306a\u80cc\u666f\u3092\u8aac\u660e\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1415\uff0810:40 &#8211; 11:00\uff09<br \/>\nThick-Restart GKL\u6cd5\u306e\u65b0\u3057\u3044\u30ea\u30b9\u30bf\u30fc\u30c8\u306e\u65b9\u6cd5\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u77f3\u7530\u904a\u4e5f\uff08\u4eac\u5927\u60c5\u5831\uff09\uff0c\u6728\u6751\u6b23\u53f8\uff08\u4eac\u5927\u60c5\u5831\uff09\uff0c\u4e2d\u6751\u4f73\u6b63\uff08\u4eac\u5927\u60c5\u5831\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u672c\u8b1b\u6f14\u3067\u306fThick-Restart Golub-Kahan-Lanczos(GKL)\u6cd5\u306b\u304a\u3051\u308b\u65b0\u3057\u3044\u30ea\u30b9\u30bf\u30fc\u30c8\u306e\u65b9\u6cd5\u3092\u63d0\u6848\u3059\u308b\u3002\u5f93\u6765\u6cd5\u3068\u3057\u3066\u5de6\u53f3\u306e\u7279\u7570\u30d9\u30af\u30c8\u30eb\u3092\u7528\u3044\u3066Restart\u3092\u884c\u3046\u65b9\u6cd5\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\u304c\u3001\u3053\u3053\u3067\u306f\u7247\u5074\u306e\u307f\u306e\u7279\u7570\u30d9\u30af\u30c8\u30eb\u3092\u7528\u3044\u3066\u30ea\u30b9\u30bf\u30fc\u30c8\u3092\u884c\u3046\u65b9\u6cd5\u3092\u63d0\u6848\u3059\u308b\u3002\u63d0\u6848\u6cd5\u306b\u304a\u3044\u3066\u306f\u5c0f\u884c\u5217\u3092\u89e3\u304f\u305f\u3081\u306e\u4e0b\u4f4d\u30eb\u30fc\u30c1\u30f3\u306f\u9650\u5b9a\u3055\u308c\u306a\u3044\u3002\u305d\u3053\u3067\u672c\u8b1b\u6f14\u3067\u306f\u3001\u4e0b\u4f4d\u30eb\u30fc\u30c1\u30f3\u306bQR\u6cd5\u3068One-sided Jacobi\u6cd5\u3092\u9078\u629e\u3057\u305f\u5834\u5408\u306e\u7d50\u679c\u3092\u5831\u544a\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<\/ul>\n<p><strong><br \/>\n\u30bb\u30c3\u30b7\u30e7\u30f35\uff1a\u7279\u7570\u5024\u30fb\u6700\u5c0f\u81ea\u4e57\u554f\u984c\u30fb\u56fa\u6709\u5024\uff0811:10 &#8211; 12:50\uff09\u3000\u5ea7\u9577\uff1a\u4e2d\u6751 \u771f\u8f14\uff08\u79cb\u7530\u770c\u7acb\u5927\u5b66\uff09<\/strong><\/p>\n<ul>\n<li>\u8b1b\u6f1416\uff0811:10 &#8211; 11:30\uff09<br \/>\ndLV\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u5bfe\u3059\u308b\u967d\u7684\u306a\u539f\u70b9\u30b7\u30d5\u30c8\u5c0e\u5165\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u5ca9\u5d0e \u96c5\u53f2\uff08\u4eac\u90fd\u5e9c\u7acb\u5927\u5b66\u751f\u547d\u74b0\u5883\u5b66\u90e8\uff09\uff0c\u4e2d\u6751 \u4f73\u6b63\uff08\u4eac\u90fd\u5927\u5b66\u5927\u5b66\u9662\u60c5\u5831\u5b66\u7814\u7a76\u79d1\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u4e0a2\u91cd\u5bfe\u89d2\u884c\u5217\u306e\u7279\u7570\u5024\u3092\u6c42\u3081\u308b\u305f\u3081\u306edLV\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u5bfe\u3057\u3066\u3001\u305d\u306e\u53ce\u675f\u52a0\u901f\u306e\u305f\u3081\u306e\u539f\u70b9\u30b7\u30d5\u30c8\u304c\u5c0e\u5165\u3055\u308c\u305fmdLVs\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u3042\u308b\u3002\u672c\u8b1b\u6f14\u3067\u306f\u3001dLV\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u7279\u6709\u306e\u4efb\u610f\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u6d3b\u304b\u3057\u3066\u3001mdLVs\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u306f\u7570\u306a\u308b\u967d\u7684\u306a\u539f\u70b9\u30b7\u30d5\u30c8\u4ed8\u304d\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0dLVs\u3092\u63d0\u6848\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1417\uff0811:30 &#8211; 11:50\uff09<br \/>\nOn Iterative Solution of Box Constrained Least Squares Problems<br \/>\n\u25cbNing Zheng\uff08SOKENDAI\uff09\uff0cKen Hayami\uff08NII, SOKENDAI\uff09\uff0cJun-Feng Yin\uff08Tongji University\uff09<\/p>\n<blockquote><p>Abstract:\u00a0For the solution of large sparse box constrained least squares (BLS) problems, a new iterative method is proposed by using generalized SOR method for the inner iterations and the modulus iterative method in the outer iterations for the solution of linear complementarity problem resulting from Karush-Kuhn-Tucker (KKT) conditions of the BLS problem. Theoretical convergence analysis including the optimal choice of the parameter matrix is presented for the proposed method. Numerical experiments show the efficiency of the proposed method compared to projected gradient method with less iteration steps and CPU time.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1418\uff0811:50 &#8211; 12:10\uff09<br \/>\n2\u3064\u306eKrylov\u90e8\u5206\u7a7a\u9593\u3092\u5229\u7528\u3057\u305f\u8907\u7d20\u30e2\u30fc\u30e1\u30f3\u30c8\u578b\u56fa\u6709\u5024\u89e3\u6cd5<br \/>\n\u25cb\u4eca\u5009\u6681\u3001\u6afb\u4e95\u9244\u4e5f\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u672c\u8b1b\u6f14\u3067\u306f\u5185\u90e8\u56fa\u6709\u5024\u554f\u984c\u306b\u5bfe\u3059\u308b\u8907\u7d20\u30e2\u30fc\u30e1\u30f3\u30c8\u578b\u56fa\u6709\u5024\u89e3\u6cd5\u306b\u7740\u76ee\u3059\u308b\uff0e\u8fd1\u5e74\uff0c\u6211\u3005\u306f\u8907\u7d20\u30e2\u30fc\u30e1\u30f3\u30c8\u578b\u56fa\u6709\u5024\u89e3\u6cd5\u3067\u7528\u3044\u3089\u308c\u308b\u90e8\u5206\u7a7a\u9593\u304cKrylov\u90e8\u5206\u7a7a\u9593\u3068\u3057\u3066\u89e3\u91c8\u3067\u304d\u308b\u70b9\u306b\u7740\u76ee\u3057\uff0cCA-Arnoldi\u6cd5\u306b\u57fa\u3065\u304f\u8907\u7d20\u30e2\u30fc\u30e1\u30f3\u30c8\u578b\u56fa\u6709\u5024\u89e3\u6cd5\uff08block SS-CAA\u6cd5\uff09\u3092\u63d0\u6848\u3057\u305f\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u591a\u9805\u5f0f\u30d5\u30a3\u30eb\u30bf\u30fc\u578b\u5185\u90e8\u56fa\u6709\u5024\u89e3\u6cd5\u306b\u5bfe\u3059\u308bLanczos\u6cd5\u306b\u57fa\u3065\u304f\u6539\u826f\u6cd5\u306e\u30a2\u30a4\u30c7\u30a3\u30a2\u3092\uff0cblock SS-CAA\u6cd5\u306e\u5916\u90e8\u53cd\u5fa9\u306b\u5c0e\u5165\u3059\u308b\u3053\u3068\u3067\uff0c2\u3064\u306eKrylov\u90e8\u5206\u7a7a\u9593\u3092\u5229\u7528\u3057\u305f\u8907\u7d20\u30e2\u30fc\u30e1\u30f3\u30c8\u578b\u56fa\u6709\u5024\u89e3\u6cd5\u3092\u63d0\u6848\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1419\uff0812:10 &#8211; 12:30\uff09<br \/>\n\u975e\u7dda\u5f62\u56fa\u6709\u5024\u554f\u984c\u306e\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u6442\u52d5\u8ad6\u3068\u8aa4\u5dee\u8a55\u4fa1<br \/>\n\u25cb\u4e2d\u52d9\u4f51\u6cbb\uff08\u6771\u4eac\u5927\u5b66\uff09\u3001Francoise Tisseur(\u30de\u30f3\u30c1\u30a7\u30b9\u30bf\u30fc\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u884c\u5217\u56fa\u6709\u5024\u554f\u984c\u3078\u306e\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u6442\u52d5\u8ad6\u306f\u6709\u540d\u306aDavis-Kahan&#8217;s sin\u03b8, tan\u03b8\u5b9a\u7406\u3092\u59cb\u3081\u3001Stewart\u306e\u5b9a\u7406\u306a\u3069\u3001\u53e4\u5178\u7684\u306a\u7d50\u679c\u304c\u77e5\u3089\u308c\u3066\u304a\u308a\u3001\u4f8b\u3048\u3070\u8a08\u7b97\u3055\u308c\u305f\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306e\u4e8b\u5f8c\u8aa4\u5dee\u3092\u5f97\u308b\u306e\u306b\u4f7f\u3048\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\u591a\u9805\u5f0f\u56fa\u6709\u5024\u554f\u984c\u3084\u6709\u7406\u56fa\u6709\u5024\u554f\u984c\u306a\u3069\u306b\u5bfe\u3057\u3066\u540c\u69d8\u306e\u5b9a\u7406\u3092\u5c0e\u304f\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1420\uff0812:30 &#8211; 12:50\uff09<br \/>\n\u5bfe\u79f0\u56fa\u6709\u5024\u554f\u984c\u306b\u5bfe\u3059\u308b\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u3092\uff11\u3064\u3060\u3051\u7528\u3044\u305f\u30d5\u30a3\u30eb\u30bf\u5bfe\u89d2\u5316\u6cd5\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u6751\u4e0a\u5f18\uff08\u9996\u90fd\u5927\u5b66\u6771\u4eac\uff09<\/p>\n<blockquote><p>\u6982\u8981\uff1a\u4fc2\u6570\u304c\u5b9f\u5bfe\u79f0\u304a\u3088\u3073\u30a8\u30eb\u30df\u30fc\u30c8\u306e\u5834\u5408\u306e\u5bfe\u79f0\u4e00\u822c\u56fa\u6709\u5024\u554f\u984c\u3067\u3001\u56fa\u6709\u5024\u304c\u6307\u5b9a\u3055\u308c\u305f\u533a\u9593\u306b\u3042\u308b\u56fa\u6709\u5bfe\u3092\u30d5\u30a3\u30eb\u30bf\u5bfe\u89d2\u5316\u6cd5\u3092\u7528\u3044\u3066\u89e3\u304f\u969b\u306b\u3001\u8a18\u61b6\u91cf\u3068\u8a08\u7b97\u91cf\u306e\u5236\u7d04\u304c\u7279\u306b\u5f37\u3044\u5834\u5408\u3092\u60f3\u5b9a\u3057\u3066\u3001\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u304c\uff11\u3064\u3060\u3051\u3067\u69cb\u6210\u3055\u308c\u305f\u30d5\u30a3\u30eb\u30bf\u3092\u3001\u306a\u308b\u3079\u304f\u7c21\u5358\u3067\u5229\u7528\u3057\u6613\u3044\u3088\u3046\u306b\u8a2d\u8a08\u3057\u3066\u7528\u3044\u308b\u3002\u30d5\u30a3\u30eb\u30bf\u5bfe\u89d2\u5316\u6cd5\u3092\u4fbf\u5229\u306b\u7528\u3044\u308b\u4e0a\u3067\u8003\u5bdf\u3059\u3079\u304d\u70b9\u3068\u3057\u3066\u306f\u3001\u30d5\u30a3\u30eb\u30bf\u3067\u6ffe\u904e\u3059\u308b\u30d9\u30af\u30c8\u30eb\u306e\u500b\u6570\u306e\u9078\u629e\u65b9\u6cd5\u3042\u308b\u3044\u306f\u6307\u5b9a\u3055\u308c\u305f\u56fa\u6709\u5024\u306e\u533a\u9593\u306e\u5206\u5272\u3068\u7d50\u679c\u306e\u4f75\u5408\u3001\u5f97\u3089\u308c\u305f\u8fd1\u4f3c\u56fa\u6709\u5bfe\u306e\u8aa4\u5dee\u306e\u8a55\u4fa1\u65b9\u6cd5\u3001\u8fd1\u4f3c\u56fa\u6709\u5bfe\u306e\u6539\u826f\u306e\u65b9\u6cd5\u306a\u3069\u304c\u6319\u3052\u3089\u308c\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2016\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a \u65e5\u7a0b\uff1a2016\u5e743\u67084\u65e5 (\u91d1) \u301c 3\u67085\u65e5 (\u571f) \u4f1a\u5834\uff1a\u795e\u6238\u5b66\u9662\u5927\u5b66\u30dd\u30fc\u30c8\u30a2\u30a4\u30e9\u30f3\u30c9\u30ad\u30e3\u30f3\u30d1\u30b9 \u4f4f\u6240\uff1a\u3012650-8586\u3000\u5175\u5eab\u770c\u795e\u6238\u5e02\u4e2d\u592e\u533a\u6e2f\u5cf61-1-3 \u9023\u5408\u767a\u8868\u4f1a&hellip; 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