求一份“浅谈正定矩阵与广义正定矩阵”论文开题报告
\u6b63\u5b9a\u77e9\u9635\u7684\u6027\u8d28\u6709\u54ea\u4e9b\u3000\u3000\u4e00\uff0e \u5b9a\u4e49
\u3000\u3000\u56e0\u4e3a\u6b63\u5b9a\u4e8c\u6b21\u578b\u4e0e\u6b63\u5b9a\u77e9\u9635\u6709\u5bc6\u5207\u7684\u8054\u7cfb\uff0c\u6240\u4ee5\u5728\u5b9a\u4e49\u6b63\u5b9a\u77e9\u9635\u4e4b\u524d\uff0c\u8ba9\u6211\u4eec\u5148\u5b9a\u4e49\u6b63\u5b9a\u4e8c\u6b21\u578b:
\u3000\u3000\u8bbe\u6709\u4e8c\u6b21\u578b ,\u5982\u679c\u5bf9\u4efb\u4f55x 0\u90fd\u6709f(x)>0( 0) \uff0c\u5219\u79f0f(x) \u4e3a\u6b63\u5b9a\uff08\u534a\u6b63\u5b9a\uff09\u4e8c\u6b21\u578b\u3002
\u3000\u3000\u76f8\u5e94\u7684\uff0c\u6b63\u5b9a\uff08\u534a\u6b63\u5b9a\uff09\u77e9\u9635\u548c\u8d1f\u5b9a\uff08\u534a\u8d1f\u5b9a\uff09\u77e9\u9635\u7684\u5b9a\u4e49\u4e3a\uff1a
\u3000\u3000\u4ee4A\u4e3a \u9636\u5bf9\u79f0\u77e9\u9635\uff0c\u82e5\u5bf9\u4efb\u610fn \u7ef4\u5411\u91cf x 0\u90fd\u6709 \uff1e0(\u22650)\u5219\u79f0A\u6b63\u5b9a\uff08\u534a\u6b63\u5b9a\uff09\u77e9\u9635\uff1b\u53cd\u4e4b\uff0c\u4ee4A\u4e3an \u9636\u5bf9\u79f0\u77e9\u9635\uff0c\u82e5\u5bf9\u4efb\u610f n \u7ef4\u5411\u91cf x\u22600 ,\u90fd\u6709 \uff1c0\uff08\u2264 0\uff09\uff0c \u5219\u79f0A\u8d1f\u5b9a\uff08\u534a\u8d1f\u5b9a\uff09\u77e9\u9635\u3002
\u3000\u3000\u4f8b\u5982\uff0c\u5355\u4f4d\u77e9\u9635E \u5c31\u662f\u6b63\u5b9a\u77e9\u9635\u3002
\u3000\u3000\u4e8c\uff0e \u6b63\u5b9a\u77e9\u9635\u7684\u4e00\u4e9b\u5224\u522b\u65b9\u6cd5
\u3000\u3000\u7531\u6b63\u5b9a\u77e9\u9635\u7684\u6982\u5ff5\u53ef\u77e5\uff0c\u5224\u522b\u6b63\u5b9a\u77e9\u9635\u6709\u5982\u4e0b\u65b9\u6cd5\uff1a
\u3000\u30001.n\u9636\u5bf9\u79f0\u77e9\u9635A\u6b63\u5b9a\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662fA\u7684 n \u4e2a\u7279\u5f81\u503c\u5168\u662f\u6b63\u6570\u3002
\u3000\u3000\u8bc1\u660e\uff1a\u82e5 \uff0c \u5219\u6709
\u3000\u3000\u2234\u03bb\uff1e0
\u3000\u3000\u53cd\u4e4b\uff0c\u5fc5\u5b58\u5728U\u4f7f
\u3000\u3000\u5373
\u3000\u3000\u6709
\u3000\u3000\u8fd9\u5c31\u8bc1\u660e\u4e86A\u6b63\u5b9a\u3002
\u3000\u3000\u7531\u4e0a\u9762\u7684\u5224\u522b\u6b63\u5b9a\u6027\u7684\u65b9\u6cd5\uff0c\u4e0d\u96be\u5f97\u5230A\u4e3a\u534a\u6b63\u5b9a\u77e9\u9635\u7684\u5145\u8981\u6761\u4ef6\u662f\uff1aA\u7684\u7279\u5f81\u503c\u5168\u90e8\u975e\u8d1f\u3002
\u3000\u30002\uff0en\u9636\u5bf9\u79f0\u77e9\u9635A\u6b63\u5b9a\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662fA\u5408\u540c\u4e8e\u5355\u4f4d\u77e9\u9635E\u3002
\u3000\u3000\u8bc1\u660e\uff1aA\u6b63\u5b9a
\u3000\u3000\u4e8c\u6b21\u578b \u6b63\u5b9a
\u3000\u3000A\u7684\u6b63\u60ef\u6027\u6307\u6570\u4e3an
\u3000\u30003\uff0en\u9636\u5bf9\u79f0\u77e9\u9635A\u6b63\u5b9a\uff08\u534a\u6b63\u5b9a\uff09\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662f\u5b58\u5728 n\u9636\u53ef\u9006\u77e9\u9635U\u4f7f \uff1b\u8fdb\u4e00\u6b65\u6709 \uff08B\u4e3a\u6b63\u5b9a\uff08\u534a\u6b63\u5b9a\uff09\u77e9\u9635\uff09\u3002
\u3000\u3000\u8bc1\u660e\uff1an\u9636\u5bf9\u79f0\u77e9\u9635A\u6b63\u5b9a\uff0c\u5219\u5b58\u5728\u53ef\u9006\u77e9\u9635U\u4f7f
\u3000\u3000\u4ee4 \u5219
\u3000\u3000\u4ee4 \u5219
\u3000\u3000\u53cd\u4e4b\uff0c
\u3000\u3000\u2234A\u6b63\u5b9a\u3002
\u3000\u3000\u540c\u7406\u53ef\u8bc1A\u4e3a\u534a\u6b63\u5b9a\u65f6\u7684\u60c5\u51b5\u3002
\u3000\u30004\uff0en\u9636\u5bf9\u79f0\u77e9\u9635A\u6b63\u5b9a\uff0c\u5219A\u7684\u4e3b\u5bf9\u89d2\u7ebf\u5143\u7d20 \uff0c\u4e14 \u3002
\u3000\u3000\u8bc1\u660e\uff1a\uff081\uff09\u2235n\u9636\u5bf9\u79f0\u77e9\u9635A\u6b63\u5b9a
\u3000\u3000\u2234 \u662f\u6b63\u5b9a\u4e8c\u6b21\u578b
\u3000\u3000\u73b0\u53d6\u4e00\u7ec4\u4e0d\u5168\u4e3a0 \u7684\u65700,\u2026,0,1,0\u20260(\u5176\u4e2d\u7b2cI\u4e2a\u6570\u4e3a1)\u4ee3\u5165\uff0c\u6709
\u3000\u3000\u2234
\u3000\u3000\u2234A\u6b63\u5b9a
\u3000\u3000\u2234\u5b58\u5728\u53ef\u9006\u77e9\u9635C \uff0c\u4f7f
\u3000\u30005\uff0en\u9636\u5bf9\u79f0\u77e9\u9635A\u6b63\u5b9a\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662f\uff1aA\u7684 n \u4e2a\u987a\u5e8f\u4e3b\u5b50\u5f0f\u5168\u5927\u4e8e\u96f6\u3002
\u3000\u3000\u8bc1\u660e\uff1a\u5fc5\u8981\u6027\uff1a
\u3000\u3000\u8bbe\u4e8c\u6b21\u578b \u662f\u6b63\u5b9a\u7684
\u3000\u3000\u5bf9\u6bcf\u4e2ak,k=1,2,\u2026,n,\u4ee4
\u3000\u3000\uff0c
\u3000\u3000\u73b0\u8bc1 \u662f\u4e00\u4e2ak\u5143\u4e8c\u6b21\u578b\u3002
\u3000\u3000\u2235\u5bf9\u4efb\u610fk\u4e2a\u4e0d\u5168\u4e3a\u96f6\u7684\u5b9e\u6570 \uff0c\u6709
\u3000\u3000\u2234 \u662f\u6b63\u5b9a\u7684
\u3000\u3000\u2234 \u7684\u77e9\u9635
\u3000\u3000\u662f\u6b63\u5b9a\u77e9\u9635
\u3000\u3000\u5373
\u3000\u3000\u5373A\u7684\u987a\u5e8f\u4e3b\u5b50\u5f0f\u5168\u5927\u4e8e\u96f6\u3002
\u3000\u3000\u5145\u5206\u6027\uff1a
\u3000\u3000\u5bf9n\u4f5c\u6570\u5b66\u5f52\u7eb3\u6cd5
\u3000\u3000\u5f53n=1\u65f6\uff0c
\u3000\u3000\u2235 \uff0c \u663e\u7136 \u662f\u6b63\u5b9a\u7684\u3002
\u3000\u3000\u5047\u8bbe\u5bf9n-1\u5143\u5b9e\u4e8c\u6b21\u578b\u7ed3\u8bba\u6210\u7acb\uff0c\u73b0\u5728\u8bc1\u660en\u5143\u7684\u60c5\u5f62\u3002
\u3000\u3000\u4ee4 \uff0c \uff0c
\u3000\u3000\u2234A\u53ef\u5206\u5757\u5199\u6210
\u3000\u3000\u2235A\u7684\u987a\u5e8f\u4e3b\u5b50\u5f0f\u5168\u5927\u4e8e\u96f6
\u3000\u3000\u2234 \u7684\u987a\u5e8f\u4e3b\u5b50\u5f0f\u4e5f\u5168\u5927\u4e8e\u96f6
\u3000\u3000\u7531\u5f52\u7eb3\u5047\u8bbe\uff0c \u662f\u6b63\u5b9a\u77e9\u9635\u5373\uff0c\u5b58\u5728n-1\u9636\u53ef\u9006\u77e9\u9635Q\u4f7f
\u3000\u3000\u4ee4
\u3000\u3000\u2234
\u3000\u3000\u518d\u4ee4 \uff0c
\u3000\u3000\u6709
\u3000\u3000\u4ee4 \uff0c
\u3000\u3000\u5c31\u6709
\u3000\u3000\u4e24\u8fb9\u53d6\u884c\u5217\u5f0f\uff0c\u5219
\u3000\u3000\u7531\u6761\u4ef6 \u5f97a\uff1e0
\u3000\u3000\u663e\u7136
\u3000\u3000\u5373A\u5408\u540c\u4e8eE \uff0c
\u3000\u3000\u2234A\u662f\u6b63\u5b9a\u7684\u3002
\u3000\u3000\u4e09\uff0e \u8d1f\u5b9a\u77e9\u9635\u7684\u4e00\u4e9b\u5224\u522b\u65b9\u6cd5
\u3000\u30001\uff0en\u9636\u5bf9\u79f0\u77e9\u9635A\u662f\u8d1f\u5b9a\u77e9\u9635\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662fA\u7684\u8d1f\u60ef\u6027\u6307\u6570\u4e3an\u3002
\u3000\u30002\uff0en\u9636\u5bf9\u79f0\u77e9\u9635A\u662f\u8d1f\u5b9a\u77e9\u9635\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662fA\u7684\u7279\u5f81\u503c\u5168\u5c0f\u4e8e\u96f6\u3002
\u3000\u30003\uff0en\u9636\u5bf9\u79f0\u77e9\u9635A\u662f\u8d1f\u5b9a\u77e9\u9635\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662fA\u7684\u987a\u5e8f\u4e3b\u5b50\u5f0f \u6ee1\u8db3
\u3000\u3000\uff0c
\u3000\u3000\u5373\u5947\u6570\u9636\u987a\u5e8f\u4e3b\u5b50\u5f0f\u5168\u5c0f\u4e8e\u96f6\uff0c\u5076\u6570\u9636\u987a\u5e8f\u4e3b\u5b50\u5f0f\u5168\u5927\u4e8e\u96f6\u3002
\u3000\u3000\u7531\u4e8eA\u662f\u8d1f\u5b9a\u7684\u5f53\u4e14\u4ec5\u5f53-A\u662f\u6b63\u5b9a\u7684\uff0c\u6240\u4ee5\u4e0a\u53d9\u7ed3\u8bba\u4e0d\u96be\u4ece\u6b63\u5b9a\u6027\u7684\u6709\u5173\u7ed3\u8bba\u76f4\u63a5\u5f97\u51fa\uff0c\u6545\u8bc1\u660e\u7565\u3002
\u3000\u3000\u56db\uff0e\u534a\u6b63\u5b9a\u77e9\u9635\u7684\u4e00\u4e9b\u5224\u522b\u65b9\u6cd5
\u3000\u30001\uff0e n\u9636\u5bf9\u79f0\u77e9\u9635A\u662f\u534a\u6b63\u5b9a\u77e9\u9635\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662fA\u7684\u6b63\u60ef\u6027\u6307\u6570\u7b49\u4e8e\u5b83\u7684\u79e9\u3002
\u3000\u30002\uff0e n\u9636\u5bf9\u79f0\u77e9\u9635A\u662f\u534a\u6b63\u5b9a\u77e9\u9635\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662fA\u7684\u7279\u5f81\u503c\u5168\u5927\u4e8e\u7b49\u4e8e\u96f6\uff0c\u4f46\u81f3\u5c11\u6709\u4e00\u4e2a\u7279\u5f81\u503c\u7b49\u4e8e\u96f6\u3002
\u3000\u30003\uff0e n\u9636\u5bf9\u79f0\u77e9\u9635A\u662f\u8d1f\u5b9a\u77e9\u9635\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662fA\u7684\u5404\u9636\u4e3b\u5b50\u5f0f\u5168\u5927\u4e8e\u7b49\u4e8e\u96f6\uff0c\u4f46\u81f3\u5c11\u6709\u4e00\u4e2a\u4e3b\u5b50\u5f0f\u7b49\u4e8e\u96f6\u3002
\u3000\u3000\u6ce8\uff1a3\u4e2d\u6307\u7684\u662f\u4e3b\u5b50\u5f0f\u800c\u4e0d\u662f\u987a\u5e8f\u4e3b\u5b50\u5f0f\uff0c\u5b9e\u9645\u4e0a\uff0c\u53ea\u6709\u987a\u5e8f\u4e3b\u5b50\u5f0f\u5927\u4e8e\u7b49\u4e8e\u96f6\u5e76\u4e0d\u80fd\u4fdd\u8bc1A\u662f\u534a\u6b63\u5b9a\u7684\uff0c\u4f8b\u5982\uff1a
\u3000\u3000\u77e9\u9635 \u7684\u987a\u5e8f\u4e3b\u5b50\u5f0f \uff0c \uff0c \uff0c
\u3000\u3000\u4f46A\u5e76\u4e0d\u662f\u534a\u6b63\u5b9a\u7684\u3002
\u3000\u3000\u5173\u4e8e\u534a\u8d1f\u5b9a\u4e5f\u6709\u7c7b\u4f3c\u7684\u5b9a\u7406\uff0c\u8fd9\u91cc\u4e0d\u518d\u5199\u51fa\u3002
\u597d\u6837\u7684\uff0c\u652f\u6301\u4f60\uff0c\u52a0\u6cb9
1 相关定义定义1 设A∈，若对≠ x∈，都有AX > 0，则称A为正定矩阵，记为A∈．
记={A|≠ x∈，使AX > 0}．
定义2设A∈，如果对≠X∈，都有正对角矩阵D=> 0，使得AX > 0，则称A为广义正定矩阵，记为A∈，若D=
与x无关，则记为A∈。
记={A∈|≠X]正对角矩阵D，使DAX > 0}．
定义3 设A∈，若=A，对≠ x∈ ，都有AX > 0，则称A为实对称正定矩阵，记为A ∈ S+．
记={A∈|≠x，=A，使AX > 0}．
定义4 设A∈，如果对≠X,都有S=∈使得DAX > 0，则称A为广义正定矩阵，记为A∈，若S=与x无关，则记为A∈．
记={A∈|≠X，S=,使DAX > 0}.
定义5设A∈，如果对≠ X∈，都有S=.s+，使得AX > 0，则称A为广义正定矩阵，记为A∈．若S=与x无关，则记为A∈
加油吧，少年
绛旓細骞夸箟瀹氫箟锛氳M鏄痭闃舵柟闃碉紝濡傛灉瀵逛换浣曢潪闆跺悜閲弞锛岄兘鏈墇TMz> 0锛屽叾涓瓃T 琛ㄧずz鐨勮浆缃紝灏辩ОM涓姝ｅ畾鐭╅樀銆備緥濡傦細B涓簄闃剁煩闃碉紝E涓哄崟浣嶇煩闃碉紝a涓烘瀹炴暟銆傚湪a鍏呭垎澶ф椂锛宎E+B涓烘瀹氱煩闃点傦紙B蹇呴』涓哄绉伴樀锛夌嫮涔夊畾涔夛細涓涓猲闃剁殑瀹炲绉扮煩闃礛鏄瀹氱殑鐨勬潯浠舵槸褰撲笖浠呭綋瀵逛簬鎵鏈夌殑闈為浂瀹炵郴鏁板悜閲弞锛岄兘鏈...
绛旓細鐭╅樀姝ｅ畾鍒ゅ畾鐨勪笁涓厖瑕佹潯浠讹細A鐨勭壒寰佸煎叏涓烘鏁帮紱A鍚堝悓浜庡崟浣嶉樀锛汚鐨勯『搴忎富瀛愬紡鍏ㄤ负姝ｃ備竴銆姝ｅ畾鐭╅樀瀹氫箟 鍦ㄧ嚎鎬т唬鏁伴噷锛屾瀹氱煩闃垫湁鏃朵細绠绉颁负姝ｅ畾闃点傚湪绾挎т唬鏁颁腑锛屾瀹氱煩闃电殑鎬ц川绫讳技澶嶆暟涓殑姝ｅ疄鏁般備笌姝ｅ畾鐭╅樀鐩稿搴旂殑绾挎х畻瀛愭槸瀵圭О姝ｅ畾鍙岀嚎鎬у舰寮忥紙澶嶅煙涓垯瀵瑰簲鍩冨皵绫崇壒姝ｅ畾鍙岀嚎鎬у舰寮忥級銆骞夸箟...
绛旓細鐭╅樀姝ｅ畾鍒ゅ畾鐨勪笁涓厖瑕佹潯浠讹細A鐨勭壒寰佸煎叏涓烘鏁帮紱A鍚堝悓浜庡崟浣嶉樀锛汚鐨勯『搴忎富瀛愬紡鍏ㄤ负姝ｃ備竴銆姝ｅ畾鐭╅樀瀹氫箟 鍦ㄧ嚎鎬т唬鏁伴噷锛屾瀹氱煩闃垫湁鏃朵細绠绉颁负姝ｅ畾闃点傚湪绾挎т唬鏁颁腑锛屾瀹氱煩闃电殑鎬ц川绫讳技澶嶆暟涓殑姝ｅ疄鏁般備笌姝ｅ畾鐭╅樀鐩稿搴旂殑绾挎х畻瀛愭槸瀵圭О姝ｅ畾鍙岀嚎鎬у舰寮忥紙澶嶅煙涓垯瀵瑰簲鍩冨皵绫崇壒姝ｅ畾鍙岀嚎鎬у舰寮忥級銆骞夸箟...
绛旓細姝ｅ畾鐭╅樀鐨勭壒鐐癸細骞夸箟瀹氫箟锛氳M鏄痭闃舵柟闃碉紝濡傛灉瀵逛换浣曢潪闆跺悜閲弞锛岄兘鏈墇TMz> 0锛屽叾涓瓃T 琛ㄧずz鐨勮浆缃紝灏辩ОM涓烘瀹氱煩闃点備緥濡傦細B涓簄闃剁煩闃碉紝E涓哄崟浣嶇煩闃碉紝a涓烘瀹炴暟銆傚湪a鍏呭垎澶ф椂锛宎E+B涓烘瀹氱煩闃点傦紙B蹇呴』涓哄绉伴樀锛夈傜嫮涔夊畾涔夛細涓涓猲闃剁殑瀹炲绉扮煩闃礛鏄瀹氱殑鐨勬潯浠舵槸褰撲笖浠呭綋瀵逛簬鎵鏈夌殑闈為浂...
绛旓細姝ｅ畾鐭╅樀鐨勭壒鐐癸細骞夸箟瀹氫箟锛氳M鏄痭闃舵柟闃碉紝濡傛灉瀵逛换浣曢潪闆跺悜閲弞锛岄兘鏈墇TMz> 0锛屽叾涓瓃T 琛ㄧずz鐨勮浆缃紝灏辩ОM涓烘瀹氱煩闃点備緥濡傦細B涓簄闃剁煩闃碉紝E涓哄崟浣嶇煩闃碉紝a涓烘瀹炴暟銆傚湪a鍏呭垎澶ф椂锛宎E+B涓烘瀹氱煩闃点傦紙B蹇呴』涓哄绉伴樀锛夈傜嫮涔夊畾涔夛細涓涓猲闃剁殑瀹炲绉扮煩闃礛鏄瀹氱殑鐨勬潯浠舵槸褰撲笖浠呭綋瀵逛簬鎵鏈夌殑闈為浂...
绛旓細鐭╅樀姝ｅ畾鎬х殑鎬ц川锛1銆姝ｅ畾鐭╅樀鐨勭壒寰佸奸兘鏄鏁般2銆佹瀹氱煩闃电殑涓诲厓涔熼兘鏄鏁般3銆佹瀹氱煩闃电殑鎵鏈夊瓙琛屽垪寮忛兘鏄鏁般4銆佹瀹氱煩闃靛皢鏂归樀鐗瑰緛鍊硷紝涓诲厓锛岃鍒楀紡铻嶄负涓浣撱傛瀹氱煩闃电殑鍒ゅ埆鏂规硶锛1銆 瀵圭О鐭╅樀A姝ｅ畾鐨勫厖鍒嗗繀瑕佹潯浠舵槸A鐨刵涓壒寰佸煎叏鏄鏁般2銆佸绉扮煩闃礎姝ｅ畾鐨勫厖鍒嗗繀瑕佹潯浠舵槸A鍚堝悓浜庡崟浣嶇煩闃...
绛旓細骞夸箟瀹氫箟锛氳M鏄痭闃舵柟闃碉紝濡傛灉瀵逛换浣曢潪闆跺悜閲弞锛岄兘鏈墇TMz> 0锛屽叾涓瓃T 琛ㄧずz鐨勮浆缃紝灏辩ОM涓姝ｅ畾鐭╅樀銆備緥濡傦細B涓簄闃剁煩闃碉紝E涓哄崟浣嶇煩闃碉紝a涓烘瀹炴暟銆傚湪a鍏呭垎澶ф椂锛宎E+B涓烘瀹氱煩闃点傦紙B蹇呴』涓哄绉伴樀锛夈傜嫮涔夊畾涔夛細涓涓猲闃剁殑瀹炲绉扮煩闃礛鏄瀹氱殑鐨勬潯浠舵槸褰撲笖浠呭綋瀵逛簬鎵鏈夌殑闈為浂瀹炵郴鏁板悜閲弞锛岄兘...
绛旓細^璇佹槑锛氬洜涓篈,B姝ｅ畾锛屾墍浠 A^T=A,B^T=B (蹇呰鎬) 鍥犱负AB姝ｅ畾锛屾墍浠 (AB)^T=AB 鎵浠 BA=B^TA^T=(AB)^T=AB (鍏呭垎鎬) 鍥犱负 AB=BA 鎵浠 (AB)^T=B^TA^T=BA=AB 鎵浠 AB 鏄绉鐭╅樀 鐢盇,B姝ｅ畾, 瀛樺湪鍙嗙煩闃礟,Q浣 A=P^TP,B=Q^TQ.鏁 AB = P^TPQ^TQ 鑰 QABQ^-1=QP...
绛旓細姝ｅ畾鐭╅樀鏈骞夸箟鍜鐙箟涓ょ瀹氫箟銆傚箍涔夊畾涔夊己璋冪殑鏄浜庢墍鏈夐潪闆跺悜閲忕殑姝ｅ畾鎬э紝鑰岀嫮涔夊畾涔夊垯杩涗竴姝ラ檺瀹氬湪瀹炲绉扮煩闃电殑鑼冪暣鍐呫傚疄闄呬笂锛屽疄瀵圭О鐭╅樀鐨勬瀹氭ф槸鍏舵瀹氱煩闃佃韩浠界殑蹇呰涓斿厖鍒嗘潯浠躲傛瀹氱煩闃电殑鎬ц川涓板瘜涓旈噸瑕併傞鍏堬紝瀹冧滑鐨勮鍒楀紡鎬绘槸姝ｅ硷紝杩欐剰鍛崇潃鐭╅樀鐨勪綋绉绘槸姝ｇ殑銆傚叾娆★紝涓涓疄瀵圭О鐭╅樀A濡傛灉...
绛旓細cov=co-var锛宑o-鏄仈鍚堬紝鍗忎綔锛宑ov(x,y)=e(xy)-e(x)e(y)锛寁ar(x)=e(xx)-e(x)e(x)锛0=0锛屾墍浠ユ槸闈璐熷畾鐭╅樀銆傚洜涓烘瀹氫簩娆″瀷涓姝ｅ畾鐭╅樀鏈夊瘑鍒囩殑鑱旂郴锛屾墍浠ュ湪瀹氫箟姝ｅ畾鐭╅樀涔嬪墠锛屽厛瀹氫箟姝ｅ畾浜屾鍨嬶細璁炬湁浜屾鍨 ,濡傛灉瀵逛换浣晉 0閮芥湁f(x)>0(0)锛屽垯绉癴(x)涓烘瀹氾紙鍗婃瀹氾級浜屾鍨...
