1) determinantal differential
行列式等数
2) determinant inequality
行列式不等式
1.
In the study of the functions of several complex variables,Hua Loo-Keng discovered and proved the following determinant inequality: If A,B are n×n complex matrices and I-AAH and I-BBH are Hermitian positive definite matrices,then det(I-AAH)det(I-BBH)≤|det(I-ABH)|2.
在多复变分析的研究中,华罗庚发现并证明了行列式不等式det(I-AAH)det(I-BBH)≤|det(I-ABH)|2,其中n×n复矩阵A,B满足I-AAH,I-BBH都是Hermitian正定矩阵。
2.
We extend the determinant inequality of generalized real positive definite matrices that is advanced by (paper[3]).
推广了文献[3]中的广义实正定矩阵的行列式不等式,同时给出了广义实正定矩阵的凸性不等式。
3.
By using the implements of the more precise determinant inequality of two Hermitian positive definite matrices, and by the result of the relationship among the determinants described by the quardratic inequality, we obtain a new upper bound of the sum of two complex matrices.
利用得到的相关一元二次不等式描述的行列式之间的关系,给出了两个复矩阵和的行列式新上界,作为应用可改进华罗庚行列式不等式的上界。
3) Mina's determinant identity
Mina行列式恒等式
4) determinant function
行列式函数
1.
Through the examples such as the identity of the mean value theorem, and the connection between the mean value theorem for calculus and the one for definite integrals, the construction and application of determinant functions are discussed.
将行列式与微积分结合起来,用行列式定义某些函数,利用行列式的性质和计算方法分析函数,通过微分中值定理的归一性、微分中值定理与积分中值定理的联系等实际例子,讨论行列式函数的构造及其应用。
2.
The high-order derivative of the determinant function is studied by adopting mathematical induction.
采用数学归纳法,研究了行列式函数的高阶导数,得到了n阶行列式函数高阶求导的公式和几个推论。
5) functional determinant
函数行列式
补充资料：等数
1.等级与数量。 2.数学上指相等的数。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条