{"id":1997,"date":"2021-05-17T18:16:15","date_gmt":"2021-05-17T09:16:15","guid":{"rendered":"http:\/\/mepa.jsiam.org\/?page_id=1997"},"modified":"2021-08-26T10:05:24","modified_gmt":"2021-08-26T01:05:24","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%e5%ba%a6%e5%b9%b4%e4%bc%9a","status":"publish","type":"page","link":"http:\/\/mepa.jsiam.org\/?page_id=1997","title":{"rendered":"\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2021\u5e74\u5ea6\u5e74\u4f1a"},"content":{"rendered":"\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\u3067\u306f\uff0c\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a2021\u5e74\u5ea6\u5e74\u4f1a\u306b\u304a\u304d\u307e\u3057\u3066\u30aa\u30fc\u30ac\u30ca\u30a4\u30ba\u30c9\u30bb\u30c3\u30b7\u30e7\u30f3\u3092\u958b\u50ac\u81f4\u3057\u307e\u3059\uff0e\n\n<!-- \/wp:paragraph -->\n\n<!-- wp:list -->\n<ul>\n \t<li>\u4f1a\u671f\uff1a2021\u5e749\u67087\u65e5(\u706b)\u301c9\u65e5(\u6728)<\/li>\n \t<li>\u4f1a\u5834\uff1a\u30aa\u30f3\u30e9\u30a4\u30f3\u958b\u50ac<\/li>\n \t<li>\u5e74\u4f1a\u30db\u30fc\u30e0\u30da\u30fc\u30b8\uff1a<a href=\"https:\/\/annual2021.jsiam.org\/\">https:\/\/annual2021.jsiam.org\/<\/a><\/li>\n<\/ul>\n\n<hr>\n\n<!-- wp:heading -->\n<h3>\u8b1b\u6f14\u7533\u3057\u8fbc\u307f\u30d5\u30a9\u30fc\u30e0<\/h3>\n<ul>\n \t<!--\n \t<li>\u8b1b\u6f14\u7533\u3057\u8fbc\u307f\u3006\u5207\uff1a7\u67089\u65e5\uff08\u91d1\uff09<\/li>\n-->\n \t<li>\u8b1b\u6f14\u7533\u3057\u8fbc\u307f\u306f\u7de0\u3081\u5207\u308a\u307e\u3057\u305f\u3002<\/li>\n<\/ul>\n<!--\n[contact-form-7 id=\"2002\" title=\"JSIAM Annual Meeting 2021\"]\n-->\n\n<!-- \/wp:heading -->\n<h4 style=\"text-align: center;\"><b>\u66ab\u5b9a\u30d7\u30ed\u30b0\u30e9\u30e0<\/b><\/h4>\n<h5 style=\"text-align: center;\"><strong>9\u67089\u65e5 (\u6728)\u3000\u4f1a\u5834\uff1aA<\/strong><\/h5>\n<h6><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528(1)\u3000\uff089:10 &#8211; 10:30\uff09\u3000\u5ea7\u9577\uff1a\u76f8\u539f \u7814\u8f14\uff08\u6771\u4eac\u90fd\u5e02\u5927\u5b66\uff09<\/strong><\/h6>\n<span style=\"color: black;\">\u7279\u7570\u5024\u5206\u89e3\u306e\u305f\u3081\u306e\u4e21\u5074\u30e4\u30b3\u30d3\u6cd5\u306e\u8907\u7d20\u6570\u884c\u5217\u306b\u5bfe\u3059\u308b\u52b9\u7387\u7684\u306a\u5b9f\u88c5\u6cd5 \/ <\/span><span style=\"color: black;\">\u25cb\u5bae\u524d \u9686\u5e83\uff08\u798f\u4e95\u5927\u5b66\uff09, \u9ad8\u7530 \u96c5\u7f8e\uff08\u5948\u826f\u5973\u5b50\u5927\u5b66\uff09, \u6728\u6751 \u6b23\u53f8\uff08\u798f\u4e95\u5927\u5b66\uff09, \u4e2d\u6751 \u4f73\u6b63\uff08\u5927\u962a\u6210\u8e4a\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u5b9f\u884c\u5217\u306e\u7279\u7570\u5024\u5206\u89e3\u3092\u884c\u3046\u4e21\u5074\u30e4\u30b3\u30d3\u6cd5\u306e\u5b9f\u88c5\u306b\u3064\u3044\u3066\u306f, \u8352\u6728\u3089\u306e\u63d0\u6848\u304c\u3042\u308b. \u672c\u8b1b\u6f14\u3067\u306f, \u305d\u306e\u8a08\u7b97\u6cd5\u3092\u8907\u7d20\u6570\u884c\u5217\u306b\u62e1\u5f35\u3059\u308b. \u5b9f\u884c\u5217\u306e\u8a08\u7b97\u3067\u306f, Givens\u56de\u8ee2\u3092\u30d9\u30af\u30c8\u30eb\u306b\u9069\u7528\u3059\u308b\u969b\u306b, sin\u30fbcos\u306e\u3044\u305a\u308c\u304b\u306e\u5024\u3092\u88dc\u6b63\u3059\u308b\u3053\u3068\u304c\u9ad8\u7cbe\u5ea6\u8a08\u7b97\u3092\u9054\u6210\u3059\u308b\u305f\u3081\u306b\u91cd\u8981\u3067\u3042\u308b. \u8907\u7d20\u6570\u884c\u5217\u3067\u306f, \u305d\u306e\u30a2\u30a4\u30c7\u30a2\u3092\u5bfe\u89d2\u6210\u5206\u306e\u5b9f\u6570\u5316\u3068\u975e\u5bfe\u89d2\u6210\u5206\u306e\u5b9f\u6570\u5316\u306e\u969b\u306b\u3082\u5229\u7528\u3059\u308b. \u305d\u308c\u306b\u3088\u308a, \u9ad8\u7cbe\u5ea6\u306a\u7279\u7570\u5024\u5206\u89e3\u3068\u76f4\u4ea4\u6027\u306e\u9ad8\u3044\u7279\u7570\u30d9\u30af\u30c8\u30eb\u3092\u8a08\u7b97\u3067\u304d\u308b.<\/div>\n<span style=\"color: black;\">\u25ce\u62e1\u5f35q-\u6238\u7530\u65b9\u7a0b\u5f0f\u306e\u56fa\u6709\u5024\u8a08\u7b97\u3078\u306e\u5fdc\u7528 \/ <\/span><span style=\"color: black;\">\u25cb\u6e21\u9089 \u51cc\u6597\uff08\u4eac\u90fd\u5e9c\u7acb\u5927\u5b66\u3000\u751f\u547d\u74b0\u5883\u5b66\u90e8\u3000\u74b0\u5883\u30fb\u60c5\u5831\u79d1\u5b66\u79d1\uff09, \u65b0\u5e84 \u96c5\u6597\uff08\u540c\u5fd7\u793e\u5927\u5b66\u3000\u7406\u5de5\u5b66\u90e8\uff09, \u5ca9\u5d0e \u96c5\u53f2\uff08\u4eac\u90fd\u5e9c\u7acb\u5927\u5b66\u3000\u751f\u547d\u74b0\u5883\u5b66\u90e8\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u2f00\u822c\u7684\u306a\u96e2\u6563\u5316\u306e\u62e1\u5f35\u306e1\u3064\u3068\u3057\u3066q-\u96e2\u6563\u5316\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\u3002\u672c\u767a\u8868\u3067\u306f\u3001\u307e\u305a\u3001\u53ef\u7a4d\u5206\u7cfb\u306e\u57fa\u790e\u65b9\u7a0b\u5f0f\u3067\u3042\u308b\u2f3e\u2f65\u2f45\u7a0b\u5f0f\u3084\u3001\u305d\u308c\u3068\u95a2\u308f\u308a\u304c\u6df1\u3044\u30ed\u30c8\u30ab-\u30dc\u30eb\u30c6\u30e9\u7cfb\u306eq-\u96e2\u6563\u5316\u306b\u3064\u3044\u3066\u8aac\u660e\u3059\u308b\u3002\u6b21\u306b\u3001\u305d\u308c\u3089\u304c\u95a2\u9023\u4ed8\u3051\u3089\u308c\u308b\u884c\u5217\u306eLR\u5909\u63db\u306b\u3064\u3044\u3066\u8ff0\u3079\u308b\u3002\u307e\u305f\u3001q-\u6238\u7530\u65b9\u7a0b\u5f0f\u3084q-\u30ed\u30c8\u30ab-\u30dc\u30eb\u30c6\u30e9\u7cfb\u306e\u62e1\u5f35\u306b\u3082\u89e6\u308c\u3001\u6700\u5f8c\u306b\u56fa\u6709\u5024\u8a08\u7b97\u306e\u6570\u5024\u4f8b\u3092\u793a\u3059\u3002<\/div>\n<span style=\"color: black;\">\u25ce\u5b9f\u5bfe\u79f0\u5e2f\u884c\u5217\u306b\u5bfe\u3059\u308b\u5206\u5272\u7d71\u6cbb\u6cd5\u306e\u8a08\u7b97\u91cf\u524a\u6e1b\u306e\u305f\u3081\u306e\u6442\u52d5\u51e6\u7406\u9806\u5e8f\u306e\u63d0\u6848 \/ <\/span><span style=\"color: black;\">\u25cb\u5e73\u5ca1 \u4fca\u4f51\uff08\u798f\u4e95\u5927\u5b66\uff09, \u5ee3\u7530 \u60a0\u8f14\uff08\u798f\u4e95\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u534a\u5e2f\u5e45\u304ck\u3067\u3042\u308b\u5b9f\u5bfe\u79f0\u5e2f\u884c\u5217\u306e\u56fa\u6709\u5024\u554f\u984c\u306b\u5bfe\u3059\u308b\u5206\u5272\u7d71\u6cbb\u6cd5\u306f\uff0c\u5bfe\u89d2\u884c\u5217\u3068k\u500b\u306erank-1\u7a4d\uff08\u6442\u52d5\uff09\u306e\u548c\u3067\u8868\u3055\u308c\u308b\u884c\u5217\u306e\u5bfe\u89d2\u5316\u306b\u5e30\u7740\u3055\u308c\u308b\uff0e\u3053\u306e\u5bfe\u89d2\u5316\u306f\uff0c\u5bfe\u89d2\u884c\u5217\u30681\u500b\u306erank-1\u7a4d\u306e\u548c\u306e\u5bfe\u89d2\u5316\uff08\u6442\u52d5\u51e6\u7406\uff09\u3092k\u56de\u7e70\u308a\u8fd4\u3059\u3053\u3068\u306b\u3088\u308a\u89e3\u304b\u308c\u308b\uff0e\u3057\u304b\u3057\u306a\u304c\u3089\uff0c\u3069\u306e\u3088\u3046\u306a\u9806\u5e8f\u3067rank-1\u7a4d\u3092\u9078\u3073\u5bfe\u89d2\u5316\u3059\u308b\u304b\u306b\u306f\u81ea\u7531\u5ea6\u304c\u3042\u308b\uff0e\u672c\u7814\u7a76\u3067\u306f\uff0c\u5404\u6442\u52d5\u51e6\u7406\u306b\u304a\u3051\u308b\u30c7\u30d5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u767a\u751f\u983b\u5ea6\u306b\u7740\u76ee\u3057\uff0c\u5206\u5272\u7d71\u6cbb\u6cd5\u306e\u8a08\u7b97\u91cf\u3092\u524a\u6e1b\u3059\u308b\u6442\u52d5\u51e6\u7406\u9806\u5e8f\u3092\u63d0\u6848\u3059\u308b\uff0e\u307e\u305f\uff0c\u6570\u5024\u5b9f\u9a13\u306b\u3088\u308a\u63d0\u6848\u6cd5\u306e\u6709\u52b9\u6027\u3092\u793a\u3059\uff0e<\/div>\n<span style=\"color: black;\">\u5b9f\u6570\u30b7\u30d5\u30c8\u306e\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u5c11\u6570\u304b\u3089\u69cb\u6210\u3055\u308c\u305f\u30d5\u30a3\u30eb\u30bf\u306b\u3088\u308b\u5b9f\u5bfe\u79f0\u5b9a\u5024\u4e00\u822c\u56fa\u6709\u5024\u554f\u984c\u306e\u56fa\u6709\u5024\u304c\u4e0b\u7aef\u4ed8\u8fd1\u306e\u56fa\u6709\u5bfe\u306e\u8fd1\u4f3c\u89e3\u6cd5\u306b\u3064\u3044\u3066 \/ <\/span><span style=\"color: black;\">\u25cb\u6751\u4e0a \u5f18\uff08\u6771\u4eac\u90fd\u7acb\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u5b9f\u5bfe\u79f0\u5b9a\u5024\u4e00\u822c\u56fa\u6709\u5024\u554f\u984c\u306e\u8fd1\u4f3c\u56fa\u6709\u5bfe\u3092\u30d5\u30a3\u30eb\u30bf\u3092\u7528\u3044\u3066\u6c42\u3081\u308b\uff0e\u56fa\u6709\u5024\u554f\u984c\u3068\u5bfe\u5fdc\u3059\u308b\u5c11\u6570\u306e\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u306e\u7dda\u578b\u7d50\u5408\u306e\u4f5c\u7528\u306e\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f\u3092\u30d5\u30a3\u30eb\u30bf\u3068\u3057\u3066\u63a1\u7528\u3059\u308b\u3053\u3068\u306b\u3059\u308b\uff0e\u56fa\u6709\u5024\u304c\u4e0b\u7aef\u4ed8\u8fd1\u306e\u56fa\u6709\u5bfe\u3060\u3051\u3092\u6c42\u3081\u308b\u3053\u3068\u306b\u3057\u3066\uff0c\u3059\u3079\u3066\u306e\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u306e\u30b7\u30d5\u30c8\u3092\uff08\u6700\u5c0f\u56fa\u6709\u5024\u672a\u6e80\u306e\uff09\u5b9f\u6570\u306b\u5236\u9650\u3059\u308b\u5834\u5408\u3092\u6271\u3063\u3066\u307f\u308b\uff0e\u305d\u308c\u306b\u3088\u308b\u5229\u70b9\u306f\uff0c\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u3092\u4e0e\u3048\u308b\u9023\u7acb\uff11\u6b21\u65b9\u7a0b\u5f0f\u306e\u4fc2\u6570\u304c\u5b9f\u5bfe\u79f0\u5b9a\u5024\u884c\u5217\u306b\u306a\u308b\u3053\u3068\u3067\u3042\u308b\uff0e<\/div>\n<h6><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528(2)\u3000\uff0810:50 &#8211; 12:10\uff09\u3000\u5ea7\u9577\uff1a\u4f50\u85e4 \u5bdb\u4e4b\uff08\u4eac\u90fd\u5927\u5b66\uff09<\/strong><\/h6>\n<span style=\"color: black;\">Projection method for eigenproblems of linear nonsquare matrix pencils \/ <\/span><span style=\"color: black;\">\u25cb\u4fdd\u570b \u60e0\u4e00\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">This work extends a projection method for regular eigenproblems to singular cases and provides conditions such that the extended method determines the finite eigenvalues in a prescribed region in the complex plane and the corresponding eigenvectors. Numerical experiments show that the extended method is more robust and efficient than previous methods.<\/div>\n<span style=\"color: black;\">\u884c\u5217\u5b9f\u6570\u4e57\u306e\u6570\u5024\u7a4d\u5206\u306b\u5bfe\u3059\u308b\u5b9a\u6570\u500d\u306e\u524d\u51e6\u7406\u306b\u3064\u3044\u3066 \/ <\/span><span style=\"color: black;\">\u25cb\u7acb\u5ca1 \u6587\u7406\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09, \u66fd\u6211\u90e8 \u77e5\u5e83\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09, \u5271\u6301 \u667a\u54c9\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09, \u5f35 \u7d39\u826f\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u6570\u5024\u7a4d\u5206\u6cd5\u306b\u3088\u308b\u6b63\u5b9a\u5024\u5bfe\u79f0\u884c\u5217\u306e\u5b9f\u6570\u4e57\u306e\u8a08\u7b97\u3092\u8003\u3048\u308b\uff0e\u8a08\u7b97\u306e\u969b\u306b\u884c\u5217\u3092\u5b9a\u6570\u500d\u3057\u3066\u56fa\u6709\u5024\u5206\u5e03\u3092\u5909\u3048\u308b\u3053\u3068\u3067\uff0c\u540c\u3058\u7a4d\u5206\u70b9\u6570\u3067\u3082\u6570\u5024\u7a4d\u5206\u306e\u7cbe\u5ea6\u304c\u5909\u5316\u3059\u308b\uff0e\u7279\u306bGauss\u6c42\u7a4d\u3067\u306f\u8aa4\u5dee\u3092\u6700\u5c0f\u5316\u3059\u308b\u305f\u3081\u306e\u307b\u307c\u6700\u9069\u306a\u5b9a\u6570\u306e\u9078\u3073\u65b9\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\uff0e\u672c\u7814\u7a76\u306e\u76ee\u7684\u306f\u4e8c\u91cd\u6307\u6570\u95a2\u6570\u578b\u516c\u5f0f\u306b\u5bfe\u3057\u3066\u8aa4\u5dee\u3092\u5c0f\u3055\u304f\u3059\u308b\u5b9a\u6570\u3092\u9078\u3076\u3053\u3068\u3067\u3042\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\u5b9a\u6570\u3092\u6570\u5024\u7684\u306b\u9078\u3093\u3060\u3068\u3057\u3066\u3082\u8aa4\u5dee\u3092\u5c0f\u3055\u304f\u3059\u308b\u52b9\u679c\u304c\u5f97\u3089\u308c\u308b\u3053\u3068\u3092\u5831\u544a\u3059\u308b\uff0e<\/div>\n<span style=\"color: black;\">\u25ce\u975e\u5bfe\u79f0\u306a\u7dda\u5f62\u884c\u5217\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308bglobal GPBiCGstab(L)\u6cd5\u306e\u63d0\u6848 \/ <\/span><span style=\"color: black;\">\u25cb\u5800\u5185 \u4e00\u6a39\uff08\u6771\u4eac\u7406\u79d1\u5927\u5b66\uff09, \u76f8\u539f \u7814\u8f14\uff08\u6771\u4eac\u90fd\u5e02\u5927\u5b66\uff09, \u9234\u6728 \u4fca\u592b\uff08\u6771\u4eac\u7406\u79d1\u5927\u5b66\uff09, \u77f3\u6e21 \u6075\u7f8e\u5b50\uff08\u6771\u4eac\u7406\u79d1\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">Global Krylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306f\uff0c\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308bKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u3092\u4e00\u822c\u306e\u7dda\u5f62\u884c\u5217\u65b9\u7a0b\u5f0f\u5411\u3051\u306b\u62e1\u5f35\u3057\u305f\u3082\u306e\u3067\u3042\u308b\uff0e\u4e00\u65b9\uff0c\u975e\u5bfe\u79f0\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3057\uff0cGPBiCG\u6cd5\u3068BiCGstab(L)\u6cd5\u3092\u878d\u5408\u3057\u305fGPBiCGstab(L)\u6cd5\u304c\u6700\u8fd1\u5c0e\u51fa\u3055\u308c\u305f\uff0e\u305d\u3053\u3067\u672c\u7814\u7a76\u3067\u306f\uff0c\u3053\u306e\u89e3\u6cd5\u306eglobal\u7248\u3067\u3042\u308bglobal GPBiCGstab(L)\u6cd5\u3092\u65b0\u305f\u306b\u63d0\u6848\u3059\u308b\uff0e\u30d6\u30ed\u30c3\u30af\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3084\u30b7\u30eb\u30d9\u30b9\u30bf\u30fc\u65b9\u7a0b\u5f0f\u306b\u5bfe\u3059\u308b\u6570\u5024\u5b9f\u9a13\u3092\u901a\u3057\u3066\uff0c\u63d0\u6848\u624b\u6cd5\u304c\u65e2\u5b58\u306e\u65b9\u6cd5\u306b\u6bd4\u3079\u3066\u512a\u308c\u305f\u53ce\u675f\u6027\u3092\u3082\u3064\u3053\u3068\u3092\u793a\u3059\uff0e<\/div>\n<span style=\"color: black;\">Analysis of the stabilized GMRES method \/ <\/span><span style=\"color: black;\">\u25cb\u901f\u6c34 \u8b19\uff08\u56fd\u7acb\u60c5\u5831\u5b66\u7814\u7a76\u6240 \/ \u7dcf\u5408\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66 \u540d\u8a89\u6559\u6388\uff09, LIAO Zeyu\uff08\u7dcf\u5408\u7814\u7a76\u5927\u5b66\u9662\u5927\u5b66 \u8907\u5408\u79d1\u5b66\u7814\u7a76\u79d1 \u60c5\u5831\u5b66\u5c02\u653b\uff09, \u4fdd\u570b \u60e0\u4e00\uff08\u7b51\u6ce2\u5927\u5b66 \u30b7\u30b9\u30c6\u30e0\u60c5\u5831\u7cfb\uff09, YIN Jun-Feng\uff08School of Mathematical Sciences, Tongji University\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">In 2016 (JSIAM MEPA meeting), we proposed the stabilized GMRES method for singular and severely ill-conditioned systems. (See also https:\/\/arxiv.org\/abs\/2007.10853 .) In this talk, we will analyze why the stabilized GMRES method works using Weyl\u2019s inequality.<\/div>\n<h6><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528(3)\u3000\uff0813:20 &#8211; 14:40\uff09\u3000\u5ea7\u9577\uff1a\u4fdd\u570b \u60e0\u4e00\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/strong><\/h6>\n<span style=\"color: black;\">\u25ce\u30ea\u30fc\u30de\u30f3\u591a\u69d8\u4f53\u4e0a\u306e\u975e\u7dda\u5f62\u5171\u5f79\u52fe\u914d\u6cd5\u306e\u65b0\u305f\u306a\u67a0\u7d44\u307f\u3068\u6570\u5024\u7dda\u5f62\u4ee3\u6570\u3078\u306e\u5fdc\u7528 \/ <\/span><span style=\"color: black;\">\u25cb\u4f50\u85e4 \u5bdb\u4e4b\uff08\u4eac\u90fd\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u306e\u89e3\u6cd5\u3067\u3042\u308b\u5171\u5f79\u52fe\u914d\u6cd5\u306f\u72ed\u7fa9\u51f82\u6b21\u95a2\u6570\u306e\u6700\u5c0f\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308b\u304c\uff0c\u3088\u308a\u4e00\u822c\u306e\u95a2\u6570\u306e\u6700\u5c0f\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u3057\u3066\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u7a7a\u9593\u306b\u304a\u3051\u308b\u975e\u7dda\u5f62\u5171\u5f79\u52fe\u914d\u6cd5\u304c\u76db\u3093\u306b\u7814\u7a76\u3055\u308c\u3066\u3044\u308b\uff0e\u3055\u3089\u306b\uff0c\u63a2\u7d22\u9818\u57df\u3092\u30ea\u30fc\u30de\u30f3\u591a\u69d8\u4f53\u306b\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u3067\uff0c\u975e\u7dda\u5f62\u5171\u5f79\u52fe\u914d\u6cd5\u3092\u591a\u69d8\u4f53\u4e0a\u306e\u6700\u9069\u5316\u554f\u984c\u306e\u6c42\u89e3\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u62e1\u5f35\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u30ea\u30fc\u30de\u30f3\u591a\u69d8\u4f53\u4e0a\u306e\u975e\u7dda\u5f62\u5171\u5f79\u52fe\u914d\u6cd5\u306e\u65b0\u3057\u3044\u4e00\u822c\u7684\u306a\u67a0\u7d44\u307f\u3092\u63d0\u6848\u3057\uff0c\u305d\u306e\u6570\u5024\u7dda\u5f62\u4ee3\u6570\u3078\u306e\u5fdc\u7528\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3059\u308b\uff0e<\/div>\n<span style=\"color: black;\">\u975e\u8ca0\u5236\u7d04\u4ed8\u304d2\u6b21\u8a08\u753b\u554f\u984c\u306b\u5bfe\u3059\u308b\u9069\u5fdc\u578b\u5c04\u5f71SOR\u6cd5 \/ <\/span><span style=\"color: black;\">\u25cb\u5bae\u6b66 \u52c7\u767b\uff08\u5927\u962a\u5927\u5b66\uff09, \u66fd\u6211\u90e8 \u77e5\u5e83\uff08\u540d\u53e4\u5c4b\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u975e\u8ca0\u5236\u7d04\u4ed8\u304d2\u6b21\u8a08\u753b\u554f\u984c\u304a\u3088\u3073\u95a2\u9023\u3059\u308b\u7dda\u5f62\u76f8\u88dc\u6027\u554f\u984c\u306b\u5bfe\u3059\u308b\u6570\u5024\u89e3\u6cd5\u3068\u3057\u3066\uff0cSOR\u6cd5\u306e\u8003\u3048\u65b9\u3092\u30d9\u30fc\u30b9\u306b\u6210\u5206\u3054\u3068\u306e\u66f4\u65b0\u306e\u969b\u306b\u6b63\u5024\u306b\u5c04\u5f71\u3092\u65bd\u3059\u5c04\u5f71SOR\u6cd5\u304c1970\u5e74\u9803\u304b\u3089\u77e5\u3089\u308c\u3066\u3044\u308b\uff0e\u672c\u8b1b\u6f14\u3067\u306f\uff0c\u5c04\u5f71SOR\u6cd5\u306b\u5e7e\u4f55\u7684\u89e3\u91c8\u3092\u4e0e\u3048\uff0c\u305d\u306e\u89e3\u91c8\u306b\u57fa\u3065\u304d\u7de9\u548c\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u9069\u5fdc\u7684\u306b\u5236\u5fa1\u3059\u308b\u9069\u5fdc\u578b\u5c04\u5f71SOR\u6cd5\u3092\u63d0\u6848\u3059\u308b\uff0e<\/div>\n<span style=\"color: black;\">CP-ALS\u306b\u3064\u3044\u3066\u306eHPC\u304b\u3089\u306e\u8003\u5bdf\u3068\u8a66\u307f \/ <\/span><span style=\"color: black;\">\u25cb\u4eca\u6751 \u4fca\u5e78\uff08\u56fd\u7acb\u7814\u7a76\u958b\u767a\u6cd5\u4eba\u7406\u5316\u5b66\u7814\u7a76\u6240\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">CP-ALS\u306b\u304a\u3044\u3066\u3001k\u968e\u30c6\u30f3\u30bd\u30eb\u5206\u89e3\u306e\u8a08\u7b97\u30b3\u30a2\u306fO(N^{k+1})\u306eKhatri-Rao\u8a08\u7b97\u3067\u3042\u308b\u3002HPC\u7684\u306b\u306f\u3001compute-intensive\u306a\u69cb\u9020\u3092\u6301\u3063\u3066\u304a\u308a\u3001\u9069\u5207\u306a\u30eb\u30fc\u30d7\u5909\u63db\u306b\u3088\u308aGEMM\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u5b9f\u88c5\u304c\u53ef\u80fd\u3067\u3042\u308b\u3002\u4e00\u65b9\u3001\u9ad8\u6b21\u306eTensor-contruction\u3068\u8003\u3048\u308b\u3053\u3068\u3082\u3067\u304d\u308b\u3002\u3053\u306e\u3088\u3046\u306a\u69cb\u9020\u306b\u3064\u3044\u3066\u9ad8\u6027\u80fd\u8a08\u7b97\u304b\u3089\u306e\u8003\u5bdf\u3092\u884c\u3046\u3002\u3055\u3089\u306b\u3001\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306e\u53cd\u5fa9\u6cd5\u3068\u3057\u3066\u306e\u4e00\u9762\u306b\u3064\u3044\u3066\u3082\u8003\u5bdf\u3092\u3057\u306a\u304f\u3066\u306f\u306a\u3089\u306a\u3044\u3002\u4e21\u8005\u306e\u6700\u9069\u5316\u3092\u5982\u4f55\u306b\u884c\u3046\u304b\u306b\u3064\u3044\u3066\u5831\u544a\u3057\u305f\u3044\u3002<\/div>\n<span style=\"color: black;\">\u30d9\u30a4\u30ba\u63a8\u5b9a\u306b\u3088\u308b\u8d85\u4e26\u5217\u8a08\u7b97\u306e\u6027\u80fd\u4e88\u6e2c \/ <\/span><span style=\"color: black;\">\u25cb\u661f \u5065\u592b\uff08\u9ce5\u53d6\u5927\uff09, \u5c0f\u6a4b \u6052\u58eb\uff08\u9ce5\u53d6\u5927\uff09, \u5c71\u672c \u6709\u4f5c\uff08\u96fb\u901a\u5927\uff09, \u6df1\u8c37 \u731b\uff08\u5317\u5927\uff09<\/span><span style=\"color: darkred;\">&nbsp;<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u6211\u3005\u306f\uff0c\u5b9f\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\uff08\u96fb\u5b50\u72b6\u614b\u8a08\u7b97\u306a\u3069\uff09\u304b\u3089\u306e\u9700\u8981\u3068\u3057\u3066\uff0c\u8d85\u4e26\u5217\u8a08\u7b97\uff08\u4f8b\uff1a\u30b9\u30fc\u30d1\u30fc\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3092\u7528\u3044\u305f\u56fa\u6709\u5024\u554f\u984c\u8a08\u7b97\uff09\u306e\u6027\u80fd\u4e88\u6e2c\u306b\u53d6\u308a\u7d44\u3093\u3067\u3044\u308b\uff0e\u5177\u4f53\u7684\u306b\u306f\uff0c\u5404\u30eb\u30fc\u30c1\u30f3\u306e\u5b9f\u884c\u6642\u9593T\u3092\uff0c\u30eb\u30fc\u30c1\u30f3\u5185\u90e8\u306e\u6570\u5024\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u57fa\u3065\u304d\uff0c\u8a08\u7b97\u30b3\u30fc\u30c9\u6570P\u306e\u95a2\u6570\u3068\u3057\u3066\u6570\u7406\u30e2\u30c7\u30eb\u5316(T=T(P))\u3057\uff0c\u30d9\u30a4\u30ba\u63a8\u5b9a\u3092\u7528\u3044\u3066\u5916\u633f(P\u2192\u5927)\u3059\u308b\u3053\u3068\u3067\uff0c\u6027\u80fd\u4e88\u6e2c\u3092\u884c\u3063\u3066\u3044\u308b\uff0e\u5f93\u6765\u7814\u7a76\u306e\u767a\u5c55\u3068\u3057\u3066\uff0c\u3088\u308a\u826f\u3044\u63a8\u5b9a\u624b\u6cd5\u3092\u8a66\u307f\u3066\u3044\u308b\u306e\u3067\u5831\u544a\u3059\u308b\uff0e<\/div>\n<h6><strong>\u884c\u5217\u30fb\u56fa\u6709\u5024\u554f\u984c\u306e\u89e3\u6cd5\u3068\u305d\u306e\u5fdc\u7528(4)\u3000\uff0815:00 &#8211; 16:20\uff09\u3000\u5ea7\u9577\uff1a\u6df1\u8c37 \u731b\uff08\u5317\u6d77\u9053\u5927\u5b66\uff09<\/strong><\/h6>\n<span style=\"color: black;\">\u52d5\u7684\u30e2\u30fc\u30c9\u5206\u89e3\u306b\u5bfe\u3057\u3066\u53ce\u675f\u3092\u4fdd\u8a3c\u3059\u308b\u5e73\u5747\u5316\u624b\u6cd5\u306b\u3064\u3044\u3066 \/ <\/span><span style=\"color: black;\">\u25cb\u76f8\u5cf6 \u5065\u52a9\uff08\u6cd5\u653f\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u52d5\u7684\u30e2\u30fc\u30c9\u5206\u89e3\u3068\u306f\uff0c\u5b9f\u9a13\u3084\u6570\u5024\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u5f97\u3089\u308c\u308b\u9ad8\u6b21\u5143\u306e\u6642\u7cfb\u5217\u30c7\u30fc\u30bf\u306b\u5bfe\u3059\u308b\u6709\u529b\u306a\u89e3\u6790\u624b\u6cd5\u3067\u3042\u308b\uff0e\u7dda\u5f62\u4ee3\u6570\u7684\u306a\u6570\u5024\u8a08\u7b97\u306e\u89b3\u70b9\u304b\u3089\u306f\uff0c\u30af\u30ea\u30ed\u30d5\u90e8\u5206\u7a7a\u9593\u3084\u7279\u7570\u5024\u5206\u89e3\u306a\u3069\u304c\u7528\u3044\u3089\u308c\u3066\u304a\u308a\uff0c\u69d8\u3005\u306a\u8a08\u7b97\u624b\u6cd5\u304c\u5b58\u5728\u3059\u308b\uff0e\u672c\u767a\u8868\u3067\u306f\uff0c\u30c7\u30fc\u30bf\u304c\u78ba\u7387\u7684\u306a\u30ce\u30a4\u30ba\u3092\u542b\u3080\u3053\u3068\u3092\u60f3\u5b9a\u3057\uff0c\u30ce\u30a4\u30ba\u306b\u5bfe\u3059\u308b\u81ea\u7136\u306a\u7d71\u8a08\u30e2\u30c7\u30eb\u3092\u69cb\u7bc9\u3059\u308b\uff0e\u3053\u306e\u30e2\u30c7\u30eb\u306e\u4e0b\u3067\uff0c\u7a2e\u3005\u306e\u8a08\u7b97\u624b\u6cd5\u306b\u5171\u901a\u3057\u3066\u5229\u7528\u3067\u304d\u308b\u5e73\u5747\u5316\u624b\u6cd5\u3092\u63d0\u6848\u3057\uff0c\u305d\u306e\u6f38\u8fd1\u89e3\u6790\u3092\u884c\u3046\u3053\u3068\u3067\u53ce\u675f\u5b9a\u7406\u3092\u4e0e\u3048\u308b\uff0e<\/div>\n<span style=\"color: black;\">\u25ce\u865a\u6570\u6642\u9593\u767a\u5c55\u6cd5\u306b\u3088\u308b\u96fb\u5b50\u72b6\u614b\u8a08\u7b97\u624b\u6cd5\u306e\u958b\u767a \/ <\/span><span style=\"color: black;\">\u25cb\u738b \u6b3d\u6797\uff08\u6cd5\u653f\u5927\u5b66\u60c5\u5831\u79d1\u5b66\u90e8\u7814\u7a76\u79d1\uff09, \u5584\u752b \u5eb7\u6210\uff08\u6cd5\u653f\u5927\u5b66\u60c5\u5831\u79d1\u5b66\u90e8\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">\u96fb\u5b50\u72b6\u614b\u8a08\u7b97\u3092\u5b9f\u6642\u9593\u306e\u6642\u9593\u4f9d\u5b58\u306e\u624b\u6cd5\u306b\u3088\u308a\u3001\u5916\u90e8\u523a\u6fc0\u306b\u5bfe\u3059\u308b\u7dda\u5f62\u5fdc\u7b54\u3068\u3057\u3066\u3001\u6642\u9593\u767a\u5c55\u306e\u624b\u6cd5\u3092\u7528\u3044\u3066\u5149\u5b66\u7279\u6027\u306e\u89e3\u6790\u3092\u884c\u3063\u3066\u304d\u305f\u3002\u901a\u5e38\u3001\u6642\u9593\u767a\u5c55\u306e\u624b\u6cd5\u3067\u306f\u521d\u671f\u72b6\u614b\u3068\u3057\u3066\u7a7a\u9593\u5dee\u5206\u6cd5\u304b\u3089\u6c42\u3081\u308b\u56fa\u6709\u72b6\u614b\uff08\u57fa\u5e95\u72b6\u614b\uff09\u3092\u6e96\u5099\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u540c\u69d8\u306e\u6642\u9593\u767a\u5c55\u306e\u624b\u6cd5\u3092\u7528\u3044\u3066\u3001\u6211\u3005\u306f\u57fa\u5e95\u72b6\u614b\u3092\u6c42\u3081\u308b\u865a\u6570\u6642\u9593\u767a\u5c55\u6cd5\u3092\u5c0e\u5165\u3057\u3001\u3059\u3079\u3066\u306e\u8a08\u7b97\u3092\u540c\u3058\u67a0\u7d44\u307f\u306e\u4e2d\u3067\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u305f\u3002\u3053\u306e\u7d71\u5408\u7684\u306a\u624b\u6cd5\u3092\u89e3\u6790\u89e3\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\u3044\u304f\u3064\u304b\u306e\u7cfb\u3067\u306e\u52d5\u4f5c\u3092\u78ba\u8a8d\u3057\u3001\u5358\u7d14\u306a\u5206\u5b50\u7cfb\u306e\u89e3\u6790\u3078\u3082\u5c55\u958b\u3057\u305f\u3002<\/div>\n<span style=\"color: black;\">\u25cePreconditioning\u884c\u5217\u3092\u7528\u3044\u305fChambolle-Pock\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u9ad8\u901f\u5316\u3068CT\u753b\u50cf\u518d\u69cb\u6210\u3078\u306e\u5fdc\u7528 \/ <\/span><span style=\"color: black;\">\u25cb\u91d1 \u9394\u91c7\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">Passty framework\u3092\u7528\u3044\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u9ad8\u901f\u5316\u306f\u3001\u4e26\u5217\u5316\u304a\u3088\u3073\u5b9f\u88c5\u306e\u96e3\u6613\u5ea6\u304c\u975e\u5e38\u306b\u9ad8\u304f\u3001\u3054\u304f\u4e00\u90e8\u306e\u7814\u7a76\u8005\u3057\u304b\u518d\u73fe\u3067\u304d\u306a\u3044\u3068\u3044\u3046\u9650\u754c\u304c\u3042\u308b\u3002\u672c\u7814\u7a76\u3067\u306f\u3001Chambolle-Pock (CP)\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306bPreconditioning\u884c\u5217\u3092\u5c0e\u5165\u3057\u3001\u540c\u6642\u53cd\u5fa9\u578b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5229\u70b9\u3092\u6700\u5927\u306b\u6d3b\u304b\u3057\u306a\u304c\u3089\u3082\u3001\u7c21\u4fbf\u306b\u9ad8\u901f\u5316\u3067\u304d\u308b\u65b0\u624b\u6cd5\u3092\u7d39\u4ecb\u3059\u308b\u3002\u63d0\u6848\u624b\u6cd5\u306f\u3001\u9ad8\u901f\u5316\u306e\u30e1\u30ab\u30cb\u30ba\u30e0\u304c\u30b7\u30f3\u30d7\u30eb\u3001\u304b\u3064\u5b8c\u5168\u306b\u4e26\u5217\u5316\u3067\u304d\u308b\u3068\u3044\u3046\u5927\u304d\u306a\u5229\u70b9\u304c\u3042\u308b\u3002\u63d0\u6848\u624b\u6cd5\u3092CT\u753b\u50cf\u518d\u69cb\u6210\u306b\u5fdc\u7528\u3057\u305f\u7d50\u679c\u3001Classical CP\u3068\u6bd4\u8f03\u3057\u300120\u500d\u4ee5\u4e0a\u306e\u9ad8\u901f\u5316\u304c\u5b9f\u73fe\u3067\u304d\u305f\u3002<\/div>\n<span style=\"color: black;\">\u25cePassty framework\u3092\u7528\u3044\u305fChambolle-Pock\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u9ad8\u901f\u5316\u3068CT\u753b\u50cf\u518d\u69cb\u6210\u3078\u306e\u5fdc\u7528 \/ <\/span><span style=\"color: black;\">\u25cb\u91d1 \u9394\u91c7\uff08\u7b51\u6ce2\u5927\u5b66\uff09<\/span><span style=\"color: darkred;\">&nbsp;<\/span>\n<div style=\"padding: 16px; border-left: solid 3px #4169e1; border-radius: 0px; background-color: #f9f9f9; margin-top: 20px; margin-bottom: 20px;\">First-order primal-dual\u306e\u6700\u65b0\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u3057\u3066\u63d0\u6848\u3055\u308c\u305fChambolle-Pock (CP)\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u540c\u6642\u53cd\u5fa9\u578b\u3092\u60f3\u5b9a\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u591a\u304f\u306e\u53cd\u5fa9\u56de\u6570(1000\u56de\u4ee5\u4e0a)\u304c\u5fc5\u8981\u3068\u306a\u308a\u3001\u5b9f\u7528\u5316\u306b\u9650\u754c\u304c\u3042\u308b\u3002\u672c\u7814\u7a76\u3067\u306f\u3001CP\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306bPassty framework\u3092\u5c0e\u5165\u3057\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u9ad8\u7cbe\u5ea6\u5316\u304a\u3088\u3073\u9ad8\u901f\u5316\u3092\u5b9f\u73fe\u3059\u308b\u3002\u63d0\u6848\u624b\u6cd5\u3092\u6700\u5148\u7aef\u306eCT\u753b\u50cf\u518d\u69cb\u6210\u306b\u5fdc\u7528\u3057\u305f\u7d50\u679c\u300130\u56de\u4ee5\u5185\u3067\u53ce\u675f\u3055\u305b\u308b\u3053\u3068\u306b\u6210\u529f\u3057\u305f\u3002\u3055\u3089\u306b\u3001\u6b63\u5247\u5316\u3068\u3057\u3066\u306f\u30011\u968e\u5fae\u5206\u30682\u968e\u5fae\u5206\u3092\u540c\u6642\u306b\u8003\u616e\u3059\u308b\u6539\u826f\u3057\u305fNonlocal TV\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u5287\u7684\u306a\u753b\u8cea\u6539\u5584\u304c\u5b9f\u73fe\u3067\u304d\u305f\u3002<\/div>","protected":false},"excerpt":{"rendered":"<p>\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\u3067\u306f\uff0c\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a2021\u5e74\u5ea6\u5e74\u4f1a\u306b\u304a\u304d\u307e\u3057\u3066\u30aa\u30fc\u30ac\u30ca\u30a4\u30ba\u30c9\u30bb\u30c3\u30b7\u30e7\u30f3\u3092\u958b\u50ac\u81f4\u3057\u307e\u3059\uff0e \u4f1a\u671f\uff1a2021\u5e749\u67087\u65e5(\u706b)\u301c9\u65e5(\u6728) \u4f1a\u5834\uff1a\u30aa\u30f3\u30e9\u30a4\u30f3\u958b\u50ac \u5e74&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\/1997"}],"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=1997"}],"version-history":[{"count":9,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages\/1997\/revisions"}],"predecessor-version":[{"id":2351,"href":"http:\/\/mepa.jsiam.org\/index.php?rest_route=\/wp\/v2\/pages\/1997\/revisions\/2351"}],"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=1997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}