V2EX negative definite

Negative Definite

释义 Definition

负定的(多用于数学/线性代数):形容一个对称矩阵二次型满足对任意非零向量 \(x\),都有
\[ x^\top A x < 0 \] 等价地(对称情形下),矩阵 \(A\) 的所有特征值都小于 0
(相关但不同:negative semidefinite 表示 \(\le 0\)。)

发音 Pronunciation (IPA)

/ntv dfnt/

例句 Examples

This matrix is negative definite.
这个矩阵是负定的。

If the Hessian is negative definite at a point, the function has a strict local maximum there.
如果在某一点的海森矩阵是负定的,那么函数在该点有严格的局部最大值。

词源 Etymology

negative 源自拉丁语 negāre(“否认、说不”),引申为“负的、否定的”。
definite 源自拉丁语 dēfīnīre(“界定、限定”),引申为“明确界定的”。
合起来在数学语境中表示“被明确界定为严格小于零(的性质)”。

相关词 Related Words

文学作品/著作中的用例 Literary Works

  • Matrix Analysis(Roger A. Horn, Charles R. Johnson)
  • Convex Optimization(Stephen Boyd, Lieven Vandenberghe)
  • Linear Algebra and Its Applications(David C. Lay 等)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     1259 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 54ms UTC 17:33 PVG 01:33 LAX 10:33 JFK 13:33
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86