在线性代数里,正定矩阵 (positive definite matrix) 有时会简称为正定阵。在线性代数中,正定矩阵的性质类似复数中的正实数。与正定矩阵相对应的线性算子是对称正定双线性形式(复域中则对应埃尔米特正定双线性形式)。
Hermite矩阵的正定性的讨论-毕业论文参考网 关键词:Hermite矩阵;二次型;正定矩阵 [gap=260]Keywords: Hermite matrix; Quadratic form;Positive definite matrix
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半正定矩阵 [数] positive semidefinite matrix
对称正定矩阵 symmetrical positive determined matrix ; Symmetric positive matrix
广义正定矩阵 Generalized positive matrix
次正定矩阵 [数] positive subdefinite matrix ; meta-positive definite matrix
关于D的广义正定矩阵 gengealixed positive definite for
实正定矩阵 Real positive definite matrix
复正定矩阵 complex positive definite matrix
复亚正定矩阵 complex metapositive definite matrix
By extending the convex inequality to qtiaternion field,the extended convex in-equality is obtained;and further extending the convex inequality to type one matrices of the cornplex numerfields,the generalized convex inequality of the positive definite matrices is obtained。
本文首先将凸性不等式推广到四元数体上,得到了广义凸性不等式,进而又将凸性不等式推广到复数域上一类矩阵中去,其结论推广了正定矩阵的凸性不等式。
参考来源 - 正定矩阵的凸性不等式的推广·2,447,543篇论文数据,部分数据来源于NoteExpress
结果得到了当m是广义正定矩阵时,线性互补问题存在唯一解。
Results linear complementary problem have unique solution when m is generalized positive definite matrix.
这些性质类似于通常的半正定矩阵及正定矩阵的性质。
These properties are similar to properties of positive semi-definite matrices and positive definite matrices.
指出非对称广义正定矩阵的主子矩阵一般不是非对称广义正定矩阵。
The principal submatrix of the asymmetrical generalized positive definite matrix is not asymmetrical generalized positive definite matrix in general.
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