{"id":1908,"date":"2020-11-10T16:03:26","date_gmt":"2020-11-10T07:03:26","guid":{"rendered":"http:\/\/mepa.jsiam.org\/?page_id=1908"},"modified":"2021-02-24T09:34:36","modified_gmt":"2021-02-24T00:34:36","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-2021%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=1908","title":{"rendered":"\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2021\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a"},"content":{"rendered":"<h5 style=\"text-align: center;\"><strong>\u958b\u50ac\u6982\u8981<\/strong><\/h5>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>\u65e5\u7a0b\uff1a2021\u5e743\u67084\u65e5 (\u6728) \u301c 5\u65e5 (\u91d1)<\/li>\n<li>\u958b\u50ac\u65b9\u5f0f\uff1a\u30aa\u30f3\u30e9\u30a4\u30f3\u958b\u50ac<\/li>\n<li>\u9023\u5408\u767a\u8868\u4f1a\u5168\u4f53\u306e\u30da\u30fc\u30b8\uff1a<a href=\"http:\/\/union2021.jsiam.org\/\">http:\/\/union2021.jsiam.org\/<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr>\n<h5 style=\"text-align: center;\"><b>\u8b1b\u6f14\u52df\u96c6<\/b><\/h5>\n<p>\u8b1b\u6f14\u52df\u96c6\u306f\u7de0\u3081\u5207\u308a\u307e\u3057\u305f\u3002<br \/>\n<!--\n2021\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a\u306e\u300c\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528\u300d\u7814\u7a76\u90e8\u4f1a\u30bb\u30c3\u30b7\u30e7\u30f3\u3067\u306e\u3054\u8b1b\u6f14\u3092\u5e0c\u671b\u3055\u308c\u308b\u65b9\u306f\uff0c\u4e0b\u8a18\u306e\u7533\u8fbc\u30d5\u30a9\u30fc\u30e0\u304b\u3089\u304a\u7533\u3057\u8fbc\u307f\u4e0b\u3055\u3044\uff0e\u8b1b\u6f14\u7533\u8fbc\u7de0\u5207\u306f\u3000<span style=\"color: #ff0000;\"><strong>2021\u5e741\u67088\u65e5\uff08\u91d1\uff0918:00<\/strong><\/span>&nbsp;&nbsp;\u3067\u3059\uff0e\n\n\u8b1b\u6f14\u67a0\u6570\u306b\u9650\u308a\u304c\u3054\u3056\u3044\u307e\u3059\u306e\u3067\uff0c\u591a\u6570\u306e\u304a\u7533\u8fbc\u3092\u3044\u305f\u3060\u3044\u305f\u5834\u5408\uff0c\u304a\u4e00\u4eba\u3067\u8907\u6570\u4ef6\u306e\u304a\u7533\u8fbc\u3092\u3044\u305f\u3060\u3044\u305f\u5834\u5408\u306f\uff0c\u3054\u8b1b\u6f14\u3092\u304a\u65ad\u308a\u3055\u305b\u3066\u3044\u305f\u3060\u304f\u3053\u3068\u304c\u3042\u308a\u307e\u3059\uff0e\n\n[contact-form-7 id=\"1911\" title=\"JSIAM Union 2021\"]\n--><\/p>\n<hr>\n<h5 style=\"text-align: center;\"><b>\u66ab\u5b9a\u30d7\u30ed\u30b0\u30e9\u30e0<\/b><\/h5>\n<h6 style=\"text-align: center;\"><strong>3\u67084\u65e5 (\u6728)\u3000\u4f1a\u5834\uff1aRoom A<\/strong><\/h6>\n<p><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528(1)\u3000\uff089:40 &#8211; 11:00\uff09\u3000\u5ea7\u9577\uff1a\u5ee3\u7530 \u60a0\u8f14\uff08\u798f\u4e95\u5927\u5b66\uff09<\/strong><br \/>\n<span style=\"color: black;\">\u30d5\u30a3\u30eb\u30bf\u5bfe\u89d2\u5316\u6cd5\u306b\u7528\u3044\u308b\u521d\u671f\u30d9\u30af\u30c8\u30eb\u306e\u7d44\u306b\u6539\u826f\u3092\u52a0\u3048\u308b\u8a66\u307f<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u6751\u4e0a \u5f18 (\u6771\u4eac\u90fd\u7acb\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u30d5\u30a3\u30eb\u30bf\u5bfe\u89d2\u5316\u6cd5\u3092\u7528\u3044\u3066\uff0c\u5b9f\u5bfe\u79f0\u5b9a\u5024\u4e00\u822c\u56fa\u6709\u5024\u554f\u984c\u306e\u56fa\u6709\u5bfe\u3067\u305d\u306e\u56fa\u6709\u5024\u304c\u6307\u5b9a\u3055\u308c\u305f\u533a\u9593\u306b\u3042\u308b\u3082\u306e\u3092\u4e00\u6589\u306b\u8fd1\u4f3c\u3057\u3066\u6c42\u3081\u308b\uff0e\u305d\u306e\u969b\u306b\uff0c\u30d5\u30a3\u30eb\u30bf\u306b\u9069\u7528\u3059\u308b\u6700\u521d\u306e\u30d9\u30af\u30c8\u30eb\u306e\u7d44\u3068\u3057\u3066\u5404\u6210\u5206\u304c\u4e00\u69d8\u4e71\u6570\u304b\u3089\u751f\u6210\u3055\u308c\u305f\u3082\u306e\u3092\u305d\u306e\u307e\u307e\u7528\u3044\u308b\u306e\u3067\u306f\u306a\u304f\u3066\uff0c\u3042\u3089\u304b\u3058\u3081\u9069\u5207\u306a\u51e6\u7406\u3092\u52a0\u3048\u3066\u6c42\u3081\u305f\u3044\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306e\u5272\u5408\u3092\u9ad8\u3081\u305f\u3082\u306e\u3092\u7528\u3044\u308b\uff0e\u305d\u306e\u3053\u3068\u306b\u3088\u308a\u8fd1\u4f3c\u56fa\u6709\u5bfe\u306e\u7cbe\u5ea6\u3092\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u3092\u8a66\u307f\u308b\uff0e<\/div>\n<p><span style=\"color: black;\">\u4e8c\u7b49\u5206\u70b9\u4ee5\u5916\u3092\u5206\u5272\u70b9\u306b\u7528\u3044\u308b\u5e2f\u884c\u5217\u5206\u5272\u7d71\u6cbb\u6cd5\u306e\u8a08\u7b97\u91cf\u8a55\u4fa1<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u5ee3\u7530 \u60a0\u8f14 (\u798f\u4e95\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u5b9f\u5bfe\u79f0\u5e2f\u884c\u5217\u306e\u56fa\u6709\u5024\u554f\u984c\u306b\u5bfe\u3059\u308b\u5206\u5272\u7d71\u6cbb\u6cd5\u3067\u306f\uff0c\u4e8c\u7b49\u5206\u70b9\u4ee5\u5916\u306e\u70b9\u3092\u9069\u5207\u306b\u9078\u3093\u3067\u884c\u5217\u3092\u518d\u5e30\u5206\u5272\u3059\u308b\u3068\uff0c\u4e8c\u7b49\u5206\u70b9\u306e\u307f\u3092\u7528\u3044\u305f\u5834\u5408\u306b\u6bd4\u3079\u3066\u89e3\u6cd5\u306e\u8a08\u7b97\u91cf\u3092\u524a\u6e1b\u3067\u304d\u308b\uff0e\u7279\u306b\u30c7\u30d5\u30ec\u30fc\u30b7\u30e7\u30f3\u304c\u751f\u3058\u306a\u3044\u4eee\u5b9a\u306e\u3082\u3068\u3067\u306f\uff0c\u8a08\u7b97\u91cf\u3092\u53b3\u5bc6\u6700\u5c0f\u5316\u3059\u308b\u5206\u5272\u70b9\u304c\u52d5\u7684\u8a08\u753b\u6cd5\u306b\u3088\u308a\u73fe\u5b9f\u7684\u306a\u6642\u9593\u3067\u6c42\u3081\u3089\u308c\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0c\u30c7\u30d5\u30ec\u30fc\u30b7\u30e7\u30f3\u304c\u751f\u3058\u306a\u3044\u4eee\u5b9a\u306e\u3082\u3068\u3067\u8a08\u7b97\u91cf\u3092\u6700\u5c0f\u5316\u304a\u3088\u3073\u6e96\u6700\u5c0f\u5316\u3059\u308b\u3088\u3046\u306b\u9078\u3070\u308c\u305f\u5206\u5272\u70b9\u3092\uff0c\u30c7\u30d5\u30ec\u30fc\u30b7\u30e7\u30f3\u304c\u751f\u3058\u308b\u73fe\u5b9f\u7684\u306a\u72b6\u6cc1\u4e0b\u306e\u5206\u5272\u7d71\u6cbb\u6cd5\u3067\u7528\u3044\u305f\u5834\u5408\u306e\u8a08\u7b97\u91cf\u306e\u8a55\u4fa1\u7d50\u679c\u306b\u3064\u3044\u3066\u5831\u544a\u3059\u308b\uff0e<\/div>\n<p><span style=\"color: black;\">Brauer\u306e\u5b9a\u7406\u3092\u5229\u7528\u3057\u305f\u6b63\u65b9\u884c\u5217\u306e\u30b9\u30da\u30af\u30c8\u30eb\u534a\u5f84\u306e\u4e0a\u9650\u306b\u5bfe\u3059\u308b\u6570\u5024\u8a08\u7b97\u6cd5<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u4f0a\u4e94\u6fa4 \u5f69\u4e43 (\u5ca9\u624b\u5927\u5b66), \u5bae\u5cf6 \u4fe1\u4e5f (\u5ca9\u624b\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u8907\u7d20\u6b63\u65b9\u884c\u5217A\u306e\u30b9\u30da\u30af\u30c8\u30eb\u534a\u5f84\u306e\u4e0a\u9650\u3092\u6570\u5024\u7684\u306b\u6c42\u3081\u308b\u65b9\u6cd5\u3092\u63d0\u6848\u3059\u308b. \u3053\u306e\u65b9\u6cd5\u306fBrauer\u306e\u5b9a\u7406\u3068\u7cbe\u5ea6\u4fdd\u8a3c\u4ed8\u304d\u6570\u5024\u8a08\u7b97\u3092\u5229\u7528\u3057\u305f\u3082\u306e\u3067\u3042\u308a, A\u304c\u975eHermite\u884c\u5217\u306e\u5834\u5408\u3067\u3082\u9069\u7528\u53ef\u80fd\u3067\u3042\u308b. \u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a, \u591a\u304f\u306e\u5834\u5408\u306b\u304a\u3044\u3066, \u63d0\u6848\u3059\u308b\u65b9\u6cd5\u306fA\u306e\u3059\u3079\u3066\u306e\u56fa\u6709\u5024\u306b\u5bfe\u3059\u308b\u7cbe\u5ea6\u4fdd\u8a3c\u4ed8\u304d\u6570\u5024\u8a08\u7b97\u3092\u5358\u7d14\u306b\u5fdc\u7528\u3057\u305f\u65b9\u6cd5\u3088\u308a\u3082\u30bf\u30a4\u30c8\u306a\u4e0a\u9650\u3092\u4e0e\u3048\u308b\u3053\u3068\u3092\u793a\u3059.<\/div>\n<p><span style=\"color: black;\">\u56db\u5143\u6570\u884c\u5217\u306e\u3059\u3079\u3066\u306e\u6a19\u6e96\u56fa\u6709\u5024\u306b\u5bfe\u3059\u308b \u7cbe\u5ea6\u4fdd\u8a3c\u4ed8\u304d\u6570\u5024\u8a08\u7b97<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u4e39\u91ce \u907c\u592a\u90ce (\u5ca9\u624b\u5927\u5b66), \u5bae\u5cf6 \u4fe1\u4e5f (\u5ca9\u624b\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u56db\u5143\u6570\u3092\u6210\u5206\u306b\u3082\u3064n\u6b21\u6b63\u65b9\u884c\u5217\u306e\u53f3\u56fa\u6709\u5024\u306f\u4e00\u822c\u306b\u7121\u9650\u500b\u5b58\u5728\u3059\u308b. \u305d\u308c\u3089\u306e\u4e2d\u306b\u306f\u5e38\u306b, \u865a\u90e8\u304c\u975e\u8ca0\u306e\u8907\u7d20\u6570\u3067\u3042\u308b\u3082\u306e\u304c\u91cd\u8907\u3092\u8fbc\u3081\u3066\u3061\u3087\u3046\u3069n\u500b\u5b58\u5728\u3059\u308b. \u3053\u308c\u3089n\u500b\u306e\u53f3\u56fa\u6709\u5024\u306f\u6a19\u6e96\u56fa\u6709\u5024\u3068\u547c\u3070\u308c\u308b. \u672c\u8b1b\u6f14\u3067\u306f, \u3059\u3079\u3066\u306e\u6a19\u6e96\u56fa\u6709\u5024\u3092\u5305\u542b\u3059\u308bn\u500b\u306e\u8907\u7d20\u533a\u9593\uff08\u8907\u7d20\u5e73\u9762\u4e0a\u306e\u5186\u76e4\uff09\u3092\u6570\u5024\u7684\u306b\u7b97\u51fa\u3059\u308b\u65b9\u6cd5\u3092\u63d0\u6848\u3059\u308b. \u307e\u305f, \u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a, \u63d0\u6848\u3057\u305f\u65b9\u6cd5\u306e\u6709\u52b9\u6027\u3092\u793a\u3059.<\/div>\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\u76f8\u5cf6 \u5065\u52a9\uff08\u6cd5\u653f\u5927\u5b66\uff09<\/strong><br \/>\n<span style=\"color: black;\">\u7279\u7570\u5bfe\u79f0\u7cfb\u306b\u5bfe\u3059\u308bGMRES\u6cd5\u3068RRGMRES\u6cd5\u306e\u6570\u5024\u5b9f\u9a13\u3068\u53ce\u675f\u89e3\u6790<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u6749\u539f \u5149\u592a (\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240), \u901f\u6c34 \u8b19 (\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\u3000\u7dcf\u5408\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u96fb\u78c1\u5834\u89e3\u6790\u7b49\u3067\u751f\u3058\u308b\u7279\u7570\u5bfe\u79f0\u7cfb\u306b\u304a\u3044\u3066\uff0c\u53f3\u8fba\u304c\u4fc2\u6570\u884c\u5217\u306e\u5024\u57df\u306b\u5c5e\u3055\u306a\u3044\u5834\u5408\uff0c\u4e38\u3081\u8aa4\u5dee\u306b\u5f37\u3044GMRES\u6cd5\u3068Range Restricted GMRES (RRGMRES)\u6cd5\u306e\u53ce\u675f\u6027\u3092\uff0c\u6570\u5024\u5b9f\u9a13\u306a\u3089\u3073\u306b\u7406\u8ad6\u304b\u3089\u6bd4\u8f03\u3059\u308b\uff0e \u4e21\u624b\u6cd5\u306e\u7834\u7dbb\u306a\u3089\u3073\u306b\u53ce\u675f\u306b\u95a2\u3059\u308b\u7406\u8ad6\u3092\u4f7f\u3044\uff0cGMRES\u6cd5\u304c\u7406\u8ad6\u3068\u7570\u306a\u308a\uff0c\u6570\u5024\u5b9f\u9a13\u3067\u306f\u53ce\u675f\u4e0d\u5341\u5206\u306a\u6642\u304c\u3042\u308b\u539f\u56e0\u3092\u5831\u544a\u3059\u308b\uff0e\u307e\u305fRRGMRES\u6cd5\u306e\u50cf\u7a7a\u9593\u6210\u5206\u304c\u6b63\u5247\u7cfb\u3078\u306eGMRES\u6cd5\u3068\u7b49\u4fa1\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\uff0c\u305d\u306e\u53ce\u675f\u6027\u3092\u7406\u8ad6\u306a\u3089\u3073\u306b\u6570\u5024\u5b9f\u9a13\u304b\u3089\u89e3\u6790\u3059\u308b\uff0e<\/div>\n<p><span style=\"color: black;\">Behaviour of GMRES and block GMRES for matrices with multiple and clustered eigenvalues<\/span><br \/>\n<span style=\"color: black;\">\u25cbLIAO Zeyu (The Graduate University for Advanced Studies, SOKENDAI), HAYAMI Ken (National Institute of Informatics and The Graduate University for Advanced Studies, SOKENDAI)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\nWe will study the numerical behaviour of GMRES and block GMRES for coefficient matrices with multiple and clustered eigenvalues and try to analyze it.<\/div>\n<p><span style=\"color: black;\">GMRES(m)\u6cd5\u306b\u304a\u3051\u308b\u884c\u5217\u30c7\u30fc\u30bf\u306e\u4f4e\u7cbe\u5ea6\u5316\u306b\u95a2\u3059\u308b\u691c\u8a0e<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u6df1\u8c37 \u731b (\u5317\u6d77\u9053\u5927\u5b66\uff0cJST \u3055\u304d\u304c\u3051), \u5ca9\u4e0b \u6b66\u53f2 (\u5317\u6d77\u9053\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u8fd1\u5e74\uff0c\u5358\u7cbe\u5ea6\u3084\u534a\u7cbe\u5ea6\u306b\u4ee3\u8868\u3055\u308c\u308b\uff0c\u4f4e\u7cbe\u5ea6\u6f14\u7b97\u30fb\u30c7\u30fc\u30bf\u3092\u7a4d\u6975\u7684\u306b\u5229\u7528\u3057\u305f\u6570\u5024\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7814\u7a76\u958b\u767a\u304c\u6d3b\u767a\u306b\u884c\u308f\u308c\u3066\u3044\u308b\u3002\u672c\u767a\u8868\u3067\u306f\uff0c\u758e\u884c\u5217\u3092\u4fc2\u6570\u3068\u3059\u308b\u9023\u7acb\u4e00\u6b21\u65b9\u5b9a\u5f0f\u306e\u4ee3\u8868\u7684\u89e3\u6cd5\u3067\u3042\u308b\uff0c\u30ea\u30b9\u30bf\u30fc\u30c8\u4ed8\u304dGMRES\u6cd5\uff08GMRES(m)\u6cd5\uff09\u306eArnoldi\u904e\u7a0b\u3067\u7528\u3044\u308b\u4fc2\u6570\u884c\u5217\u30c7\u30fc\u30bf\u306e\u4f4e\u7cbe\u5ea6\u5316\u3092\u8a66\u307f\u308b\u3002\u69d8\u3005\u306a\u30c6\u30b9\u30c8\u884c\u5217\u3092\u7528\u3044\u3066\uff0c\u5b9f\u9a13\u7684\u306b\u53ce\u675f\u6027\u3092\u8abf\u67fb\u3057\uff0c\u4f4e\u7cbe\u5ea6\u5316\u306e\u53ef\u80fd\u6027\u3092\u63a2\u308b\u3002<\/div>\n<p><span style=\"color: black;\">\u30c7\u30b3\u30f3\u30dc\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u554f\u984c\u306b\u304a\u3051\u308bcondition L-curve\u306e\u691c\u8a0e<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u4e45\u4fdd\u4e95 \u4e94\u8cb4 (\u798f\u4e95\u5927\u5b66), \u7530\u4e2d \u5229\u4f73 (\u798f\u4e95\u5927\u5b66), \u5c0f\u6fa4 \u4f38\u4e5f (\u798f\u4e95\u5927\u5b66), \u7d30\u7530 \u967d\u4ecb (\u798f\u4e95\u5927\u5b66), \u9ad8\u7530 \u96c5\u7f8e (\u5948\u826f\u5973\u5b50\u5927\u5b66), \u6728\u6751 \u6b23\u53f8 (\u798f\u4e95\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u672c\u7814\u7a76\u3067\u306f 2 \u6b21\u5143\u30dc\u30b1\u753b\u50cf\u306e\u30c7\u30b3\u30f3\u30dc\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u554f\u984c\u3092\u8a2d\u5b9a\u3057\uff0c\u7dda\u5f62\u53cd\u5fa9\u89e3\u6cd5\u306b\u3088\u308b\u30dc\u30b1\u753b\u50cf\u9bae\u660e\u5316\u306b\u53d6\u7d44\u3093\u3060\uff0e\u4eca\u56de\u306f\uff0c\u5bfe\u8c61\u753b\u50cf\u306b\u30ce\u30a4\u30ba\u6709\u308a\u306e\u554f\u984c\u8a2d\u5b9a\u3092\u8a2d\u3051\uff0c LSMR\u6cd5\u53ca\u3073LSQR\u6cd5\u306b\u3088\u308b\u30c7\u30b3\u30f3\u30dc\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3092\u884c\u3063\u305f\uff0e\u305d\u306e\u969b\u306b\uff0c\u505c\u6b62\u6761\u4ef6\u3068\u3057\u3066L-curve criterion\u3092\u63a1\u7528\u3059\u308b\uff0e\u5fa9\u5143\u5ea6\u306e\u57fa\u6e96\u3068\u3057\u3066\u76f8\u5bfe\u8aa4\u5dee\u3084 PSNR\u3092\u5229\u7528\u3057\uff0c\u30ce\u30a4\u30ba\u6709\u308a\u753b\u50cf\u9bae\u660e\u5316\u554f\u984c\u306b\u5bfe\u3059\u308bLSMR\u6cd5\u53ca\u3073LSQR\u6cd5\u306e\u6570\u5024\u7279\u6027\u3092\u8a55\u4fa1\u3059\u308b\uff0e<\/div>\n<p><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528(3)\u3000\uff0813:30 &#8211; 14:50\uff09\u3000\u5ea7\u9577\uff1a\u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240\uff09<\/strong><br \/>\n<span style=\"color: black;\">Deflation \u3092\u7528\u3044\u305f\u5e7e\u3064\u304b\u306e\u975e\u5bfe\u79f0\u884c\u5217\u7528\u30af\u30ea\u30ed\u30d5\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u6027\u80fd\u6bd4\u8f03<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u9ad8\u8c37 \u5468\u5e73 (\u500b\u4eba)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u6b63\u5b9a\u5024\u5bfe\u79f0\u884c\u5217\u7528\u306e\u89e3\u6cd5\u3067\u3042\u308bdeflated CG\u6cd5\u306b\u306f\u521d\u671f\u306e\u7814\u7a76\u306b\u304a\u3044\u3066\u8907\u6570\u306e\u6d41\u5100\u304c\u3042\u308a\u3001Vuik\u3089\u306f\u305d\u308c\u3089\u30924\u3064\u306b\u5206\u985e\u3057\u305f\u3002\u3053\u308c\u30894\u3064\u306edeflation\u306e\u6280\u6cd5\u3092CG\u6cd5\u4ee5\u5916\u306e\u30af\u30ea\u30ed\u30d5\u90e8\u5206\u7a7a\u9593\u6cd5\u3078\u9069\u7528\u3057\u305f\u7dda\u5f62\u4ee3\u6570\u30bd\u30eb\u30d0\u306e\u958b\u767a\u3092\u7b46\u8005\u306f\u7d9a\u3051\u3066\u3044\u308b\u3002\u672c\u8b1b\u6f14\u3067\u306f\u3001CRS\u6cd5\u3092\u542b\u3080\u975e\u5bfe\u79f0\u884c\u5217\u306e\u305f\u3081\u306e\u30af\u30ea\u30ed\u30d5\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u5e7e\u3064\u304b\u306bdeflation\u306e\u6280\u6cd5\u3092\u9069\u7528\u3057\u3066\u5f97\u3089\u308c\u305f\u89e3\u6cd5\u3068\u3001\u3053\u308c\u3089\u306e\u89e3\u6cd5\u306e\u6027\u80fd\u3092\u5927\u898f\u6a21\u4e26\u5217\u6709\u9650\u8981\u7d20\u63a5\u89e6\u89e3\u6790\u554f\u984c\u3067\u6bd4\u8f03\u3057\u305f\u7d50\u679c\u306b\u3064\u3044\u3066\u5831\u544a\u3059\u308b\u3002<\/div>\n<p><span style=\"color: black;\">3\u6b21\u5143\u30e2\u30c7\u30eb\u518d\u69cb\u6210\u554f\u984c\u306b\u73fe\u308c\u308b\u978d\u70b9\u578b\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u524d\u51e6\u7406\u4ed8\u304d\u53cd\u5fa9\u6cd5\u306e\u6027\u80fd\u8a55\u4fa1<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u77f3\u5ddd \u7fd4\u5927 (\u7b51\u6ce2\u5927\u5b66), \u591a\u7530\u91ce \u5bdb\u4eba (\u7b51\u6ce2\u5927\u5b66), \u9f4b\u85e4 \u6b69 (\u5c71\u5f62\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n3\u6b21\u5143\u7269\u4f53\u306e\u9023\u7d9a\u3057\u305f\u65ad\u5c64\u753b\u50cf\u304b\u3089\u30dc\u30ea\u30e5\u30fc\u30e1\u30c8\u30ea\u30c3\u30af\u30e2\u30c7\u30eb\u3068\u547c\u3070\u308c\u308b3D\u30e2\u30c7\u30eb\u3092\u69cb\u6210\u3059\u308b\u624b\u6cd5\u306e\u4e00\u3064\u306b\uff0c\u978d\u70b9\u578b\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u6c42\u89e3\u3092\u5fc5\u8981\u3068\u3059\u308b\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u5b58\u5728\u3059\u308b\uff0e \u6211\u3005\u306f\uff0c\u978d\u70b9\u578b\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u30d6\u30ed\u30c3\u30af\u69cb\u9020\u3092\u5229\u7528\u3057\u3066\uff0c\u6c42\u89e3\u3057\u3084\u3059\u3044\u65b9\u7a0b\u5f0f\u3078\u5909\u5f62\u3059\u308b\u3053\u3068\u3067\uff0c\u9ad8\u901f\u306a\u6c42\u89e3\u624b\u6cd5\u3092\u63d0\u6848\u3057\u305f\uff0e \u672c\u767a\u8868\u3067\u306f\uff0c\u540c\u6cd5\u306e\u5185\u90e8\u3067\u73fe\u308c\u308b\u8907\u6570\u53f3\u8fba\u30d9\u30af\u30c8\u30eb\u3092\u6301\u3064\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u524d\u51e6\u7406\u4ed8\u304d\u53cd\u5fa9\u6cd5\u306e\u6027\u80fd\u8a55\u4fa1\u3092\u884c\u3046\uff0e<\/div>\n<p><span style=\"color: black;\">Sylvester\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308bglobal Krylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306eresidual gap\u8a55\u4fa1\u3068\u305d\u306e\u6539\u5584<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u76f8\u539f \u7814\u8f14 (\u6771\u4eac\u90fd\u5e02\u5927\u5b66), \u4eca\u5009 \u6681 (\u7b51\u6ce2\u5927\u5b66), \u4fdd\u570b \u60e0\u4e00 (\u7b51\u6ce2\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\nSylvester\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3057\u3066\u77ed\u3044\u6f38\u5316\u5f0f\u3092\u7528\u3044\u308bKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u6570\u5024\u7684\u306a\u53ce\u675f\u6027\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3059\u308b\uff0e\u5177\u4f53\u7684\u306b\u306f\uff0cglobal BiCGSTAB\u6cd5\u3084global CGS2\u6cd5\u3067\u751f\u3058\u308bresidual gap\uff08\u771f\u306e\u6b8b\u5dee\u3068\u6f38\u5316\u5f0f\u304b\u3089\u6c42\u307e\u308b\u6b8b\u5dee\u3068\u306e\u5dee\uff09\u306b\u3064\u3044\u3066\u89e3\u6790\u3057\uff0c\u53cd\u5fa9\u4e2d\u306e\u6b8b\u5dee\u30ce\u30eb\u30e0\u306e\u6700\u5927\u5024\u304c\u521d\u671f\u6b8b\u5dee\u30ce\u30eb\u30e0\u306b\u6bd4\u3079\u3066\u76f8\u5bfe\u7684\u306b\u5927\u304d\u3044\u3068\u304d\uff0c\u8fd1\u4f3c\u89e3\u7cbe\u5ea6\u304c\u52a3\u5316\u3059\u308b\u3053\u3068\u3092\u793a\u3059\uff0e\u307e\u305f\uff0c\u8fd1\u4f3c\u89e3\u7cbe\u5ea6\u3092\u6539\u5584\u3059\u308b\u305f\u3081\uff0c\u6700\u8fd1\u63d0\u6848\u3055\u308c\u305f\u76f8\u4e92\u4f5c\u7528\u578b\u6b8b\u5dee\u30b9\u30e0\u30fc\u30b8\u30f3\u30b0\u3092\u9069\u7528\u3057\uff0c\u4e38\u3081\u8aa4\u5dee\u89e3\u6790\u3068\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u305d\u306e\u6709\u52b9\u6027\u3092\u793a\u3059\uff0e<\/div>\n<p><span style=\"color: black;\">\u8907\u6570\u53f3\u8fba\u30d9\u30af\u30c8\u30eb\u3092\u6301\u3064\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308bblock generalized CGS\u6cd5<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u4eca\u5009 \u6681 (\u7b51\u6ce2\u5927\u5b66), \u76f8\u539f \u7814\u8f14 (\u6771\u4eac\u90fd\u5e02\u5927\u5b66), \u4fdd\u570b \u60e0\u4e00 (\u7b51\u6ce2\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u8907\u6570\u53f3\u8fba\u30d9\u30af\u30c8\u30eb\u3092\u6301\u3064\u7dda\u5f62\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u6709\u529b\u306a\u89e3\u6cd5\u3068\u3057\u3066\u77e5\u3089\u308c\u308bblock Krylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306f\u3001\u901a\u5e38\u306eKrylov\u90e8\u5206\u7a7a\u9593\u3088\u308a\u3082\u5e83\u3044block Krylov\u90e8\u5206\u7a7a\u9593\u3092\u5229\u7528\u3057\u3066\u53ce\u675f\u6027\u3092\u6539\u5584\u3059\u308b\u62e1\u5f35\u30fb\u6539\u826f\u6cd5\u3067\u3042\u308b\u3002\u3053\u308c\u307e\u3067\u306b\u69d8\u3005\u306aKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306eblock\u7248\u3078\u306e\u62e1\u5f35\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\u304c\u3001CGS\u7cfb\u7d71\u306e\u89e3\u6cd5\u306b\u3064\u3044\u3066\u306f\u3001block\u7248\u3078\u306e\u62e1\u5f35\u304c\u56f0\u96e3\u3067\u3042\u308a\u3001\u5c0e\u51fa\u3055\u308c\u3066\u3044\u306a\u304b\u3063\u305f\u3002\u672c\u7814\u7a76\u3067\u306f\u3001CGS\u6cd5\u306e\u4e00\u822c\u5316\u3067\u3042\u308bgeneralized CGS\uff08GCGS\uff09\u6cd5\u306b\u7740\u76ee\u3057\u3001\u305d\u306eblock\u7248\u3078\u306e\u62e1\u5f35\u3067\u3042\u308bblock GCGS\u6cd5\u3092\u5c0e\u51fa\u3059\u308b\u3002<\/div>\n<p><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528(4)\u3000\uff0815:00 &#8211; 15:40\uff09\u3000\u5ea7\u9577\uff1a\u4f50\u85e4 \u5bdb\u4e4b\uff08\u4eac\u90fd\u5927\u5b66\uff09<\/strong><br \/>\n<span style=\"color: black;\">\u90e8\u5206\u7a7a\u9593\u3092\u5236\u9650\u3059\u308b\u5168\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306e\u52b9\u7387\u7684\u306a\u8a08\u7b97\u624b\u6cd5\u3068\u305d\u306e\u53ce\u675f\u89e3\u6790<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u76f8\u5cf6 \u5065\u52a9 (\u6cd5\u653f\u5927\u5b66\u60c5\u5831\u79d1\u5b66\u90e8)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\n\u5168\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306f\uff0c\u7d71\u8a08\u306b\u304a\u3051\u308b\u6700\u5c24\u63a8\u5b9a\u3092\u4ee3\u8868\u3068\u3057\u3066\u591a\u304f\u306e\u554f\u984c\u306b\u5fdc\u7528\u3055\u308c\u308b\u884c\u5217\u8a08\u7b97\u3067\u3042\u308b\uff0e\u8fd1\u5e74\u306e\u554f\u984c\u306e\u5927\u898f\u6a21\u5316\u306b\u4f34\u3044\uff0c\u5168\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306e\u5fdc\u7528\u4f8b\u306f\u591a\u5c90\u306b\u308f\u305f\u308a\uff0c\u5165\u529b\uff08\u89b3\u6e2c\uff09\u884c\u5217\u304a\u3088\u3073\u89e3\u884c\u5217\u306b\u4f4e\u30e9\u30f3\u30af\u6027\u3092\u4eee\u5b9a\u3059\u308b\u554f\u984c\u8a2d\u5b9a\u304c\u5897\u3048\u3066\u304d\u3066\u3044\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0c\u4f4e\u30e9\u30f3\u30af\u6027\u304a\u3088\u3073\u50cf\u7a7a\u9593\u306b\u95a2\u3059\u308b\u5236\u7d04\u306e\u4e0b\u3067\u306e\u5168\u6700\u5c0f\u4e8c\u4e57\u554f\u984c\u3092\u5bfe\u8c61\u306b\uff0c\u5165\u529b\u884c\u5217\u304c\u30e9\u30f3\u30c0\u30e0\u30ce\u30a4\u30ba\u3092\u542b\u3080\u5834\u5408\u306e\u7d71\u8a08\u89e3\u6790\u3092\u884c\u3046\u3053\u3068\u3067\uff0c\u52b9\u7387\u7684\u306a\u8a08\u7b97\u624b\u6cd5\u3092\u4e0e\u3048\uff0c\u305d\u306e\u5f37\u53ce\u675f\u3092\u793a\u3059\uff0e<\/div>\n<p><span style=\"color: black;\">\u30d2\u30eb\u30d9\u30eb\u30c8\u884c\u5217\u3068\u95a2\u9023\u3059\u308b\u3042\u308b\u884c\u5217\u306e\u56fa\u6709\u5024\u306b\u3064\u3044\u3066<\/span><br \/>\n<span style=\"color: black;\">\u25cb\u5c71\u672c \u6709\u4f5c (\u96fb\u6c17\u901a\u4fe1\u5927\u5b66)<\/span><\/p>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\nH\u3092s\u00d7s\u306e\u30d2\u30eb\u30d9\u30eb\u30c8\u884c\u5217\u3068\u3057\uff0cH\u2019\u3092H\u306e\u5404\u8981\u7d20\u306e\u5206\u6bcd\u30921\u305a\u3064\u5897\u3084\u3057\u305f\u884c\u5217\uff0cD=diag(1, 2, \u2026, s)\u3068\u3057\u3066\uff0c\u884c\u5217K=(H\u2019)^{-1}HD\u3092\u8003\u3048\u308b\u3002\u672c\u8b1b\u6f14\u3067\u306f\uff0cs\u304c2\u4ee5\u4e0a\u306e\u3068\u304d\uff0c\u884c\u5217K\u304c\u5fc5\u305a\u8907\u7d20\u56fa\u6709\u5024\u3092\u6301\u3064\u3053\u3068\u3092\u793a\u3059\u3002K\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u578b\u306e\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\u89e3\u6cd5\u3067\u3042\u308bAVF collocation\u6cd5\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u4e2d\u306b\u73fe\u308c\u308b\u884c\u5217\u3067\u3042\u308a\uff0c\u3053\u306e\u7d50\u679c\u306f\u540c\u89e3\u6cd5\u304c\u4e26\u5217\u5316\u4e0d\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u306e1\u3064\u306e\u8a3c\u660e\u3092\u4e0e\u3048\u308b\u3002<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u958b\u50ac\u6982\u8981 \u65e5\u7a0b\uff1a2021\u5e743\u67084\u65e5 (\u6728) \u301c 5\u65e5 (\u91d1) \u958b\u50ac\u65b9\u5f0f\uff1a\u30aa\u30f3\u30e9\u30a4\u30f3\u958b\u50ac \u9023\u5408\u767a\u8868\u4f1a\u5168\u4f53\u306e\u30da\u30fc\u30b8\uff1ahttp:\/\/union2021.jsiam.org\/ \u8b1b\u6f14\u52df\u96c6 \u8b1b\u6f14\u52df\u96c6\u306f\u7de0\u3081\u5207\u308a\u307e\u3057\u305f\u3002 \u66ab\u5b9a\u30d7\u30ed\u30b0\u30e9\u30e0&hellip; <\/p>\n","protected":false},"author":3,"featured_media":0,"parent":126,"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\/1908"}],"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\/3"}],"replies":[{"embeddable":true,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1908"}],"version-history":[{"count":13,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages\/1908\/revisions"}],"predecessor-version":[{"id":2118,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages\/1908\/revisions\/2118"}],"up":[{"embeddable":true,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages\/126"}],"wp:attachment":[{"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1908"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}