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.

There has been a positive quality research result of the solid symmetry of compound matrix of positive definite datrix.

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.

Accurate measurement of control matrix in liquid crystal adaptive optical system

Based on correlation analysis on dispatching object and control measures, further research is made on regression analysis statistic of confidence regions based upon control matrix, and a sufficient condition is given for the control matrix to achieve a better regression estimation, which has some guidance significance to the optimization of multi-object dispatching.

Several results concerning matrix majorization;

In this paper we discuss the properties of block eigenvalues of block compound matrices and the problem on orthogonality of block eigenvectors,obtained some results on Hermite block compound matrices.

The compound matrix method is used to obtain the eigenfunctions of stiff six-dimensional differential equations subject to an equal number of separated boundary conditions at end points.