基本解释：矩阵的张量积
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The reverse order law for the weighted Moore-Penrose inverse of a triple matrix left semi-tensor product is investigated,and a necessary and sufficient condition for it is given.给出了三矩阵左半张量积A⊙B⊙C的加权Moore-Penrose逆满足反序律(A⊙B⊙C)M+K=(CL+KIt)(BN+LIp)A+MN的充要条件。
By using ranks of matrices,we study the reverse order law for the(T,S,2)-inverse of a triple matrix right semi-tensor product and present each of the prerequisites for the formation of this semi-tensor product.以矩阵的秩为工具,研究了三矩阵右半张量积的(T,S,2)-逆的反序律,给出了三矩阵右半张量积成立的几个充要条件,对于完善矩阵广义逆理论和促进矩阵代数的理论发展有很大的理论价值。
The reverse order law for the weighted Moore-Penrose inverse of a matrix right semi-tensor product is studied.研究了矩阵右半张量积的加权Moore-Penrose逆的反序律,给出了(A⊙B)+MP=(It BN+P)A+MN成立的若干充要条件。
Promotion of a Left Semi-tensor Product-Extensive-tensor Product and Its Property矩阵左半张量积的推广——泛张量积及其性质
Reverse order law for the weighted Moore-Penrose inverse of a triple left matrix semi-tensor product三矩阵左半张量积的加权Moore-Penrose逆的反序律
Estimates for Singular Values of Schur Complements of the Right Semitensor Product of Complex Matrices矩阵右半张量积的Schur补的奇异值估计
Reverse Order Law for the Weighted Drazin Inverse of a Matrix Right Semi-tensor Product矩阵右半张量积的加权Drazin逆的反序律
Reverse Order Law for the(T,S,2)-Inverse of Triple Matrix Semi-tensor Product三矩阵右半张量积的(T,S,2)-逆的反序律
Reverse Order Law for the Weighted Moore-Penrose Inverse of a Matrix Right Semi-tensor Product矩阵右半张量积的加权Moore-Penrose逆的反序律
Reverse order law for the (T,S,2)-inverse of arbitrary many matrices right semi-tensor product任意多个矩阵右半张量积的(T,S,2)-逆的反序律
Application of Permute Matrix in the Commutation of Tensor Products of Matrices换位矩阵在矩阵张量积交换中的应用
Construction of the Encryption Matrix Based on Matrices Tensor Production基于矩阵张量积的数据加密矩阵的构造
Connections of matrices A,B with AB关于矩阵A,B张量积AB的几个性质
Application of Commutator Matrix in the Commutation of Tensor Products of Column Vector换位矩阵在列向量张量积交换中的应用
On the Matrix Inequalitiy for the Hadamard Product of Positive Semidefinite Matrices关于半正定矩阵Hadamard积的矩阵不等式
Inequalities of the Spectral Radius of Kronecker Products for Random Matrix Functions随机矩阵函数Kronecker积的谱半径的不等式
Estimates for Elgenvalues of Product of Positive Semidefinite Hermitian Matrices半正定Hermite矩阵之积的特征值估计
Eigenvalues and Eigenvectors of Lexico-Product of Matrices;矩阵的字典式积的特征根与特征向量
Dual Branching q-Matrix and Its Application to Markov Integrated Semigroup对偶分支q-矩阵及其在Markov积分半群中的应用
The Markov Integrated Semigroup Generated by the Collision Branching Q-matrix碰撞分支Q-矩阵生成的Markov积分半群(英文)
A Modified Method for Jacobian Matrix with Screw Theory and Vector Product旋量理论与矢量积法相结合求解雅可比矩阵
