{"id":311,"date":"2023-07-06T09:24:32","date_gmt":"2023-07-06T09:24:32","guid":{"rendered":"https:\/\/mathority.org\/cn\/hermitian-%e6%88%96-hermitian-%e7%9f%a9%e9%98%b5\/"},"modified":"2023-07-06T09:24:32","modified_gmt":"2023-07-06T09:24:32","slug":"hermitian-%e6%88%96-hermitian-%e7%9f%a9%e9%98%b5","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/hermitian-%e6%88%96-hermitian-%e7%9f%a9%e9%98%b5\/","title":{"rendered":"Hermitian\uff08\u6216 hermitian\uff09\u77e9\u9635"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u53ef\u4ee5\u4e86\u89e3\u4ec0\u4e48\u662f Hermitian \u77e9\u9635\uff0c\u4e5f\u79f0\u4e3a Hermitian \u77e9\u9635\u3002\u60a8\u5c06\u627e\u5230\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u793a\u4f8b\u3001\u5b83\u4eec\u7684\u6240\u6709\u5c5e\u6027\u4ee5\u53ca\u8fd9\u4e9b\u7c7b\u578b\u7684\u77e9\u9635\u6240\u5177\u6709\u7684\u5f62\u5f0f\uff0c\u4ee5\u4fbf\u5b8c\u7f8e\u5730\u7406\u89e3\u5b83\u4eec\u3002\u6700\u540e\uff0c\u6211\u4eec\u8fd8\u89e3\u91ca\u4e86\u5982\u4f55\u5c06\u4efb\u4f55\u590d\u77e9\u9635\u5206\u89e3\u4e3a\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u4e0e\u53cd\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u548c\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u662f\u57c3\u5c14\u7c73\u7279\u6216\u57c3\u5c14\u7c73\u7279\u77e9\u9635\uff1f <\/h2>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p style=\"text-align:left\"> <strong>Hermitian \u77e9\u9635<\/strong>\uff0c\u4e5f\u79f0\u4e3a Hermitian \u77e9\u9635\uff0c\u662f\u590d\u6570\u65b9\u9635\uff0c\u5177\u6709\u7b49\u4e8e\u5176<a href=\"https:\/\/mathority.org\/cn\/\u590d\u77e9\u9635\u5171\u8f6d\u548c\u8f6c\u7f6e\u5171\u8f6d\/\">\u5171\u8f6d\u8f6c\u7f6e<\/a>\u7684\u7279\u6027\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30b1f42fa0ce4bd6ccc8246e80f5ac19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=A^*\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u91d1\u5b50<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d4c81a666954cf4d9d7889c69274641_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^*\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5171\u8f6d\u8f6c\u7f6e\u77e9\u9635<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002<\/p>\n<\/div>\n<p>\u51fa\u4e8e\u597d\u5947\uff0c\u8fd9\u79cd\u7c7b\u578b\u7684\u77e9\u9635\u4ee5\u67e5\u5c14\u65af\u00b7\u57c3\u5c14\u7c73\u7279 (Charles Hermite) \u7684\u540d\u5b57\u547d\u540d\uff0c\u4ed6\u662f\u4e00\u4f4d 19 \u4e16\u7eaa\u7684\u6cd5\u56fd\u6570\u5b66\u5bb6\uff0c\u5728\u6570\u5b66\u3001\u7279\u522b\u662f\u7ebf\u6027\u4ee3\u6570\u9886\u57df\u505a\u51fa\u4e86\u91cd\u8981\u7814\u7a76\u3002<\/p>\n<p>\u4ee5\u8fd9\u79cd\u65b9\u5f0f\u547d\u540d\u8fd9\u4e2a\u77e9\u9635\u7684\u539f\u56e0\u662f\u5b83\u8868\u660e\u8fd9\u4e9b\u7279\u5b9a\u77e9\u9635\u7684\u7279\u5f81\u503c\uff08\u6216\u7279\u5f81\u503c\uff09\u59cb\u7ec8\u662f\u5b9e\u6570\uff0c\u4f46\u6211\u4eec\u5c06\u5728\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u5c5e\u6027\u4e2d\u66f4\u8be6\u7ec6\u5730\u89e3\u91ca\u8fd9\u4e00\u70b9\u3002<\/p>\n<p>\u6700\u540e\uff0c\u8be5\u77e9\u9635\u6709\u65f6\u4e5f\u53ef\u4ee5\u79f0\u4e3a\u81ea\u4f34\u77e9\u9635\uff0c\u5c3d\u7ba1\u8fd9\u79cd\u60c5\u51b5\u975e\u5e38\u7f55\u89c1\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u793a\u4f8b<\/h2>\n<p>\u4e86\u89e3\u4e86 Hermitian \u77e9\u9635\uff08\u6216 Hermitian \u77e9\u9635\uff09\u7684\u5b9a\u4e49\u540e\uff0c\u8ba9\u6211\u4eec\u770b\u4e00\u4e9b\u4e0d\u540c\u7ef4\u5ea6 Hermitian \u77e9\u9635\u7684\u793a\u4f8b\uff1a<\/p>\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"> <span style=\"text-decoration: underline;\">2\u00d72 \u9636 Hermitian \u77e9\u9635\u7684\u793a\u4f8b<\/span><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/hermitienne-ou-matrice-hermitienne-de-dimension-22152-1.webp\" alt=\"Hermitian \u6216\u7ef4\u5ea6 2x2 \u7684 Hermitian \u77e9\u9635\" class=\"wp-image-2263\" width=\"154\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"><span style=\"text-decoration: underline;\">\u7ef4\u5ea6\u4e3a 3 \u00d7 3 \u7684 Hermitian \u77e9\u9635\u793a\u4f8b<\/span><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/hermitienne-ou-matrice-hermitienne-de-dimension-32153-1.webp\" alt=\"Hermitian \u6216\u7ef4\u5ea6\u4e3a 3x3 \u7684 Hermitian \u77e9\u9635\" class=\"wp-image-2264\" width=\"211\" height=\"102\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#1976d2\"><span style=\"text-decoration: underline;\">\u5c3a\u5bf8\u4e3a 4\u00d74 \u7684 Hermitian \u77e9\u9635\u793a\u4f8b<\/span><\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/hermitienne-ou-matrice-hermitienne-de-dimension-42154-1.webp\" alt=\"Hermitian \u6216\u7ef4\u5ea6 4x4 \u7684 Hermitian \u77e9\u9635\" class=\"wp-image-2265\" width=\"292\" height=\"140\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6240\u6709\u8fd9\u4e9b\u77e9\u9635\u90fd\u662f\u57c3\u5c14\u7c73\u7279\u77e9\u9635\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u77e9\u9635\u7684\u5171\u8f6d\u8f6c\u7f6e\u77e9\u9635\u7b49\u4e8e\u77e9\u9635\u672c\u8eab\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u7ed3\u6784<\/h2>\n<p>\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u6709\u4e00\u4e2a\u975e\u5e38\u5bb9\u6613\u8bb0\u4f4f\u7684\u7ed3\u6784\uff1a\u5b83\u4eec\u7531\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u7684\u5b9e\u6570\u7ec4\u6210\uff0c\u4f4d\u4e8e\u7b2c i \u884c\u548c\u7b2c j \u5217\u7684\u590d\u6570\u5143\u7d20\u5fc5\u987b\u662f\u5728\u7b2c j \u884c\u548c\u7b2c j \u884c\u4e2d\u627e\u5230\u7684\u5143\u7d20\u7684\u5171\u8f6d\u7b2c i \u5217\u3002<\/p>\n<p>\u4ee5\u4e0b\u662f\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7ed3\u6784\u7684\u4e00\u4e9b\u793a\u4f8b\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-11\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#1976d2\"> <strong>2&#215;2 \u57c3\u5c14\u7c73\u7279\u7ed3\u6784<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7c3eb7e683eabc86f70d307886a25f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}a&amp; b\\\\[1.1ex] \\overline{b} &amp; c \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"53\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#1976d2\"> <strong>3\u00d73\u57c3\u5c14\u7c73\u7279\u7ed3\u6784<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f7d10b69e2e0edf09a8dd5eca195c00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}a&amp; b &amp; c \\\\[1.1ex] \\overline{b} &amp; d &amp; e \\\\[1.1ex] \\overline{c} &amp; \\overline{e} &amp; f\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"83\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#1976d2\"> <strong>4\u00d74\u57c3\u5c14\u7c73\u7279\u7ed3\u6784<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d2a67c9e5748a431c83128df2b720df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix}a&amp; b &amp; c &amp; d \\\\[1.1ex] \\overline{b} &amp; e &amp; f &amp; g \\\\[1.1ex] \\overline{c} &amp; \\overline{f} &amp; h &amp; i \\\\[1.1ex] \\overline{d} &amp; \\overline{g} &amp; \\overline{i} &amp; j \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"117\" width=\"110\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\">\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u6027\u8d28<\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u6765\u770b\u770b\u8fd9\u79cd\u7c7b\u578b\u7684\u590d\u6570\u65b9\u9635\u6709\u4ec0\u4e48\u6027\u8d28\uff1a<\/p>\n<ul>\n<li>\u4efb\u4f55\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u90fd\u662f<a href=\"https:\/\/mathority.org\/cn\/\u6b63\u89c4\u77e9\u9635\/\">\u6b63\u89c4\u77e9\u9635<\/a>\u3002\u5c3d\u7ba1\u5e76\u975e\u6240\u6709\u6b63\u89c4\u77e9\u9635\u90fd\u662f\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u4efb\u4f55\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u90fd\u662f\u53ef\u5bf9\u89d2\u7684\u3002\u6b64\u5916\uff0c\u751f\u6210\u7684\u5bf9\u89d2\u77e9\u9635\u4ec5\u5305\u542b\u5b9e\u6570\u5143\u7d20\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u56e0\u6b64\uff0c\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u7279\u5f81\u503c\uff08\u6216\u7279\u5f81\u503c\uff09\u59cb\u7ec8\u662f\u5b9e\u6570\u3002\u8fd9\u4e2a\u6027\u8d28\u662f\u7531 Charles Hermite \u53d1\u73b0\u7684\uff0c\u56e0\u6b64\u4ed6\u5f88\u8363\u5e78\u5730\u79f0\u8fd9\u4e2a\u975e\u5e38\u7279\u6b8a\u7684\u77e9\u9635\u4e3a Hermitian\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u540c\u6837\uff0c\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u7279\u5f81\u7a7a\u95f4\u662f\u4e8c\u4e58\u4e8c\u6b63\u4ea4\u7684\uff1a\u5b58\u5728\u4e00\u4e2a\u6b63\u4ea4\u57fa\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bc61a7b2bce8192ab9946341daf2177a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mathbb{C}^n\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u7531\u77e9\u9635\u7684\u7279\u5f81\u5411\u91cf\uff08eigenvectors\uff09\u7ec4\u6210\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5b9e\u6570\u77e9\u9635\uff0c\u5373\u6ca1\u6709\u5143\u7d20\u5177\u6709\u865a\u90e8\uff0c\u5f53\u4e14\u4ec5\u5f53\u5b83\u662f\u5bf9\u79f0\u77e9\u9635\u65f6\uff0c\u624d\u662f\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u3002\u4f8b\u5982<a href=\"https:\/\/mathority.org\/cn\">2\u00d72 \u5355\u4f4d\u77e9\u9635<\/a>\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u53ef\u4ee5\u8868\u793a\u4e3a\u5b9e\u5bf9\u79f0\u77e9\u9635\u548c\u865a<a href=\"https:\/\/mathority.org\/cn\/\u53cd\u5bf9\u79f0\u77e9\u9635\u793a\u4f8b\u548c\u6027\u8d28\/\">\u53cd\u5bf9\u79f0\u77e9\u9635\u4e4b<\/a>\u548c\u3002 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6665f14b3ae5de02e85e92f2a15ba1d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A =B+Ci\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"93\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<ul>\n<li>\u4e24\u4e2a\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u548c\uff08\u6216\u51cf\u6cd5\uff09\u7b49\u4e8e\u53e6\u4e00\u4e2a\u57c3\u5c14\u7c73\u7279\u77e9\u9635\uff0c\u56e0\u4e3a\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ce5d6e5007ded4d8c7c740a9a1a63d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(A\\pm B)^* = A^*\\pm B^* = A \\pm B\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"231\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5982\u679c\u6807\u91cf\u662f\u5b9e\u6570\uff0c\u5219\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u4e0e\u6807\u91cf\u7684\u4e58\u79ef\u7684\u7ed3\u679c\u662f\u53e6\u4e00\u4e2a\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4244f2ea9895585bd55fd0f9732034b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(k \\cdot A)^* = \\overline{k}\\cdot A^* = k \\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e24\u4e2a\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u4e58\u79ef\u901a\u5e38\u4e0d\u518d\u662f\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u3002\u7136\u800c\uff0c\u5f53\u4e24\u4e2a\u77e9\u9635\u53ef\u4ea4\u6362\u65f6\uff0c\u5373\u5f53\u4e24\u4e2a\u77e9\u9635\u76f8\u4e58\u7684\u7ed3\u679c\u65e0\u8bba\u76f8\u4e58\u65b9\u5411\u5982\u4f55\u90fd\u76f8\u540c\u65f6\uff0c\u4e58\u79ef\u662f Hermitian \u7684\uff0c\u56e0\u4e3a\u5171\u8f6d\u8f6c\u7f6e\u8fd0\u7b97\u7684\u4ee5\u4e0b\u6761\u4ef6\u77e9\u9635\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ebe46eaf703e2b0c322383991dcfd10d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(A \\cdot B)^* = B^*\\cdot A^* = B \\cdot A = A \\cdot B\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"268\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5982\u679c\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u662f\u53ef\u9006\u7684\uff0c\u90a3\u4e48\u5b83\u7684\u9006\u77e9\u9635\u4e5f\u662f\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49f97d0c351dcca3d6dd325c016d8f48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(A^{-1})^* = (A^*)^{-1} = A^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"183\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u884c\u5217\u5f0f\u59cb\u7ec8\u7b49\u4e8e\u5b9e\u6570\u3002\u8fd9\u662f\u8be5\u5c5e\u6027\u7684\u8bc1\u660e\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2131a8de361ad2b31e22f5a61333347c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"det(A) = det(A^t) \\ \\longrightarrow \\ det(A^*) = \\overline{det(A)}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6e34<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-671e0d35eb1b321fb9eb2c728815e8f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A = A^*\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<p>:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b726da4490306c53066a62df96765c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"det(A) = \\overline{det(A)}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e3a\u4e86\u6ee1\u8db3\u8fd9\u4e2a\u6761\u4ef6\uff0c\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u7684\u884c\u5217\u5f0f\u5fc5\u987b\u662f\u5b9e\u6570\u3002\u8fd9\u6837\uff0c\u7ed3\u679c\u7684\u5171\u8f6d\u5c31\u7b49\u4e8e\u7ed3\u679c\u672c\u8eab\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u5c06\u590d\u77e9\u9635\u5206\u89e3\u4e3a\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u548c\u53cd\u57c3\u5c14\u7c73\u7279\u77e9\u9635<\/h2>\n<p>\u4efb\u4f55\u5177\u6709\u590d\u6570\u5143\u7d20\u7684\u77e9\u9635\u90fd\u53ef\u4ee5<strong>\u5206\u89e3\u4e3a\u4e00\u4e2a\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u4e0e\u53e6\u4e00\u4e2a<a href=\"https:\/\/mathority.org\/cn\/\u53cd\u57c3\u5c14\u7c73\u7279\u6216\u53cd\u57c3\u5c14\u7c73\u7279\u77e9\u9635\/\">\u53cd\u57c3\u5c14\u7c73\u7279\u77e9\u9635<\/a>\u4e4b\u548c<\/strong>\u3002\u4f46\u4e3a\u6b64\uff0c\u60a8\u9700\u8981\u4e86\u89e3\u8fd9\u4e9b\u7c7b\u578b\u77e9\u9635\u7684\u4ee5\u4e0b\u7279\u6b8a\u6027\uff1a<\/p>\n<ul>\n<li>\u590d\u6570\u65b9\u9635\u4e0e\u5176\u8f6c\u7f6e\u5171\u8f6d\u4e4b\u548c\u7ed9\u51fa\u4e86\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-57572ba6df31f7ad03d06358f2dcf50c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C + C^* = \\text{Matriz Hermitiana}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"227\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li>\u590d\u65b9\u77e9\u9635\u4e0e\u5176\u8f6c\u7f6e\u5171\u8f6d\u4e4b\u95f4\u7684\u5dee\u7ed9\u51fa\u4e86\u53cd\u57c3\u5c14\u7c73\u7279\uff08\u6216\u53cd\u57c3\u5c14\u7c73\u7279\uff09\u77e9\u9635\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-70585e93ed3cecd58925a5a0c33ab14a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C - C^* = \\text{Matriz Antihermitiana}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"258\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<ul>\n<li>\u56e0\u6b64\uff0c\u6240\u6709\u590d\u77e9\u9635\u90fd\u53ef\u4ee5\u5206\u89e3\u4e3a\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u548c\u53cd\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u4e4b\u548c\u3002\u8be5\u5b9a\u7406\u79f0\u4e3a<span style=\"color:#1976d2;\"><strong>Teoplitz \u5206\u89e3<\/strong><\/span>\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74e1d9a0d55d77dd927109e42986c200_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{c} C = A + B \\\\[2ex] A =  \\cfrac{1}{2}\\cdot (C+C^*) \\qquad B = \\cfrac{1}{2} \\cdot (C-C^*)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"299\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5176\u4e2dC\u662f\u6211\u4eec\u8981\u5206\u89e3\u7684\u590d\u77e9\u9635\uff0cC*\u662f\u5b83\u7684\u8f6c\u7f6e\u5171\u8f6d\uff0c\u6700\u540eA\u548cB\u5206\u522b\u662f\u77e9\u9635C\u5206\u89e3\u6210\u7684\u5384\u7c73\u77e9\u9635\u548c\u53cd\u5384\u7c73\u77e9\u9635\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u53ef\u4ee5\u4e86\u89e3\u4ec0\u4e48\u662f Hermitian \u77e9\u9635\uff0c\u4e5f\u79f0\u4e3a Hermitian \u77e9\u9635\u3002\u60a8\u5c06\u627e\u5230\u57c3\u5c14\u7c73\u7279\u77e9\u9635 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/hermitian-%e6%88%96-hermitian-%e7%9f%a9%e9%98%b5\/\"> <span class=\"screen-reader-text\">Hermitian\uff08\u6216 hermitian\uff09\u77e9\u9635<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[31],"tags":[],"class_list":["post-311","post","type-post","status-publish","format-standard","hentry","category-31"],"yoast_head":"<!-- This site is optimized 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