A positive (semi-)definite matrix is a square matrix with the following property: (1.63)x′Ax=x′12(A+A′)x≥0,∀x. If the inequality is strictly greater, it is positive definite, otherwise positive semi-definite. From the definition, we can see that A is positive (semi-)definite...
What is the largest nullity attained by any positive semi-definite matrix M∈MG?In this paper we characterize, for t=1 and 2, those graphs G for which the maximum nullity is not greater than t.doi:10.1016/S0024-3795(03)00642-6Hein van der Holst...
正定矩阵(Positive-Definite Martix/Definite Positive Matrix/PDM)是一个对称矩阵M,对每个非零列向量,为正,其中是的转置。 Hermitian Matrix 是PDM扩展版本,z从实数列向量扩展为复数列向量,仍然要求为正,其中是z的共轭,即实数部分相同,虚数部分相反。 半正定矩阵(Positive semi-definite matri...
Lecture 7: Positive (Semi)Definite Matrices This short lecture introduces the notions of positive definite and semidefinite matrices. Two characterizations are given and the existence and uniqueness of square roots for positive semidefinite matrices is proved. Gram matrices are also brie...
LINGO's @POSD function allows one to specify that a matrix of decision variables must be positive semi-definite. The matrix may be either lower triangular, upper triangular or...
正定和半正定这两个词的英文分别是positive definite和positive semi-definite,其中,definite是一个形容词,表示“明确的、确定的”等意思。 初学线性代数的读者可能会被这两个词“唬住”,但正定矩阵和半正定矩阵的定义实际上是很简单的 (不考虑复数构成的矩阵): ...
positive semi-definite matrices 半正定矩阵 双语例句 1 These properties are similar to properties of positive semi-definite matrices and positive definite matrices.这些性质类似于通常的半正定矩阵及正定矩阵的性质。2 Positive semi-definite matrices are positive definite if and only if they are ...
Example DefineGiven a vector , the quadratic form defined by the matrix isSince the sumwhenever or (hence ), the matrix is positive definite. Focus on positivityFrom now on, we will mostly focus on positive definite and semi-definite matrices. The results obtained for these matrices can be ...
直观解释正定矩阵与半正定矩阵，对于任意正定矩阵和非零向量，它们相乘的向量与原向量的夹角恒小于特定角度，且正定矩阵的乘积结果总是正。对于半正定矩阵，这个角度可以等于或小于特定角度，且乘积结果非负。协方差矩阵为多元随机变量的矩阵形式，其半正定性质保证了协方差矩阵的合理性，即协方差矩阵的乘积...
Matrix n. 矩阵 n. 矩阵 n. 矩阵,母体,子宫,细胞,脉石,模型 quasi definite 拟定义 sub definite 子定义 semi 表示“半,不完全地”之义 semi window semi wall 半窗半墙 最新单词 line check是什么意思及发音 小检修 line charging current的中文意思 线路无载电流 line charging capacity的中文解释...