{"id":1506,"date":"2026-10-27T02:00:00","date_gmt":"2026-10-26T17:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=1506"},"modified":"2026-10-24T02:14:17","modified_gmt":"2026-10-23T17:14:17","slug":"qs-matrix-condition-number-20261024","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=1506","title":{"rendered":"\u884c\u5217\u306e\u6761\u4ef6\u6570\u3001\u6b8b\u5dee\u304c\u5c0f\u3055\u304f\u3066\u3082\u89e3\u304c\u305a\u308c\u308b\u306e\u306f\u306a\u305c\u304b"},"content":{"rendered":"<p>\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u305f\u5f8c\u3001\u7b54\u3048\u3092\u5143\u306e\u5f0f\u3078\u623b\u3059\u3068\u3001\u5de6\u53f3\u306e\u5dee\u306f\u3054\u304f\u5c0f\u3055\u3044\u3002\u305d\u308c\u306a\u3089\u5b89\u5fc3\u3057\u3066\u4f7f\u3048\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u5f0f\u3092\u3069\u308c\u307b\u3069\u3088\u304f\u6e80\u305f\u3059\u304b\u3092\u793a\u3059\u300c\u6b8b\u5dee\u300d\u306f\u5927\u5207\u306a\u78ba\u8a8d\u3067\u3059\u304c\u3001\u6c42\u3081\u305f\u89e3\u304c\u672c\u6765\u306e\u89e3\u306b\u8fd1\u3044\u304b\u306f\u3001\u3082\u3046\u4e00\u3064\u306e\u6027\u8cea\u306b\u3082\u5de6\u53f3\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u305d\u306e\u624b\u639b\u304b\u308a\u304c\u884c\u5217\u306e<strong>\u6761\u4ef6\u6570<\/strong>\u3067\u3059\u3002\u5165\u529b\u306e\u308f\u305a\u304b\u306a\u9055\u3044\u304c\u3001\u89e3\u306e\u9055\u3044\u3078\u3069\u308c\u304f\u3089\u3044\u5897\u5e45\u3055\u308c\u5f97\u308b\u304b\u3092\u8868\u3057\u307e\u3059\u3002\u4e8c\u3064\u306e\u5f0f\u3060\u3051\u306e\u4f8b\u3067\u3001\u6b8b\u5dee\u3068\u89e3\u306e\u8aa4\u5dee\u304c\u98df\u3044\u9055\u3046\u7406\u7531\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<section 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style=\"overflow-x:auto\">\n<table style=\"border-collapse:collapse;width:100%\">\n<caption>\u7b2c1\u5f0f\u3092\u56fa\u5b9a\u3057\u3001\u7b2c2\u5f0f\u306e\u53f3\u8fba\u3060\u3051\u3092\u5909\u3048\u305f\u53b3\u5bc6\u8a08\u7b97<\/caption>\n<thead>\n<tr>\n<th style=\"padding:10px;border:1px solid #cdd8dc\">\u7b2c2\u5f0f\u306e\u53f3\u8fba<\/th>\n<th style=\"padding:10px;border:1px solid #cdd8dc\">x\u2081<\/th>\n<th style=\"padding:10px;border:1px solid #cdd8dc\">x\u2082<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">2.000<\/td>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">2<\/td>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">0<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">2.001\uff08\u57fa\u6e96\uff09<\/td>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">1<\/td>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">1<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">2.002<\/td>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">0<\/td>\n<td style=\"padding:10px;border:1px solid #cdd8dc\">2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>\u5ea7\u6a19\u4e0a\u3067\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u5f0f\u306f\u76f4\u7dda\u3067\u3059\u3002\u307b\u307c\u5e73\u884c\u306a\u4e8c\u672c\u306e\u76f4\u7dda\u3067\u306f\u3001\u7247\u65b9\u3092\u5c11\u3057\u305a\u3089\u3059\u3060\u3051\u3067\u4ea4\u70b9\u304c\u9060\u304f\u3078\u79fb\u308a\u307e\u3059\u3002\u5b8c\u5168\u306b\u5e73\u884c\u306b\u306a\u308b\u5834\u5408\u3068\u9055\u3063\u3066\u3001\u89e3\u304c\u4e00\u3064\u5b58\u5728\u3057\u3066\u3044\u3066\u3082\u3001\u5165\u529b\u306b\u5bfe\u3059\u308b\u654f\u611f\u3055\u306f\u6b8b\u308a\u307e\u3059\u3002<\/p>\n<figure><img decoding=\"async\" src=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-matrix-condition-number-20261024-figure-b15fde9b004f.png\" 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<a href=\"https:\/\/netlib.org\/lapack\/lug\/node81.html\">LAPACK Users\u2019 Guide, Third Edition\uff1aFurther Details: Error Bounds for Linear Equation Solving<\/a>\uff081999\u5e74\u7248\uff09\u3002\u6b8b\u5dee\u3001\u221e\u30ce\u30eb\u30e0\u6761\u4ef6\u6570\u3001\u5f8c\u9000\u8aa4\u5dee\u3068\u524d\u9032\u8aa4\u5dee\u3001RCOND\u306e\u8aac\u660e\u3002\u672c\u6587\u306e2\u00d72\u7cfb\u3068\u56f3\u306f\u3001\u72ec\u81ea\u306b\u8a2d\u5b9a\u3057\u3066\u53b3\u5bc6\u6709\u7406\u6570\u3067\u691c\u7b97\u3057\u305f\u4f8b\u3067\u3059\u3002<\/li>\n<li>[2] <a href=\"https:\/\/ocw.mit.edu\/courses\/18-335j-introduction-to-numerical-methods-spring-2019\/pages\/week-2\/\">MIT OpenCourseWare, 18.335 Introduction to Numerical Methods, Spring 2019\uff1aWeek 2<\/a>\u3002Lecture 3\u306e\u5f8c\u9000\u5b89\u5b9a\u6027\u3001Lecture 4\u306e\u30ce\u30eb\u30e0\u3001Lecture 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