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1)  complex matrix
复矩阵
1.
The positive definite and determinant inequalities of complex matrix;
复矩阵的正定性及行列式不等式
2.
two properties of the positive definite complex matrix,A∈Cn×n and H= (A + A* )/2, are discussed.
本文讨论了一般正定复矩阵的两个性质,给出了正定复矩阵特征值的界,并给出了正定复矩阵行列式的模满足的一个不等式。
3.
In this paper, several determinant inequalities of complex matrices are given in this paper, Minkowski inequality with respect to Hermite matrix is generalized to the complex matrix, and the results of some references are improved and generalized.
建立了复矩阵的若干行列式不等式 ,关于 Hermite矩阵的 Minkoswki不等式被推广到复矩阵中 ,一些文献的结论获得改进与推
2)  complex matrices
复矩阵
1.
In the study of the of 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-AA~H and I-BB~H are Hermitian positive definite matrices,then det(I-AA~H)det(I-BB~H)+|det(A-B)|~2|det(I-AB~H)|~2,with equality only if A=B.
在多复变分析的研究中,华罗庚(1955年)发现并证明了行列式不等式:如果n×n复矩阵A,B满足I-AAH,I-BBH都是正定矩阵,则det(I-AAH)det(I-BBH)+det(A-B)2 det(I-ABH)2,仅当A=B时取等号。
3)  compound matrix
复合矩阵
1.
In this paper,some inequalities about singular values of normal matrices are established by the properties of compound matrix and the relation between eigenvalue and singular value of matrix.
本文主要利用奇异值与特征值的关系及复合矩阵的相关性质得到了正规矩阵的一些奇异值不等式。
2.
There has been a positive quality research result of the solid symmetry of compound matrix of positive definite datrix.
实对称正定矩阵的复合矩阵正定性的研究已有结论,但对于一般意义下的正定矩阵的复合矩阵是否仍然是正定的研究需要利用一般的正定矩阵的标准形的复合矩阵进行讨论,给出了一般公式及具体算法,为讨论其复合矩阵的正定性提供了基础条件。
3.
In this paper,combining the majorization with compound matrix,we get an inequality for the eigenvalue of the product of positive semidefinite Hermitian matrices,which generizes some recent results.
将控制不等式理论与复合矩阵结合起来,得到一个半正定Hermite矩阵特征值的不等式。
4)  plural matrix
复数矩阵
1.
Achievement of method about plural matrix associate operation;
复数矩阵共轭转置运算的算法实现
5)  complex Hermite matrix
复Hermite矩阵
6)  complex Hadamard matrix
复Hadamard矩阵
补充资料:几复寄槟榔且答诗劝予同种复次韵寄之
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