Packet scheduling based on matrix decomposition in optical switches;

Direction finding in the presence of coherent signals based on data matrix decomposition;

In order to solve the problem of inverse kinematics for general 6R robots,an algorithm with high accuracy based on symbolic preprocessing and matrix decomposition was proposed.

Through using matrix to store intermediate variabl es, analyzing the decomposing matrix and certifying the result by rotation matri x, the parameters of Transform Node were gained.

The numerical techniques for modifying the matrix factorizations are studied in detail when a constraint is added or deleted, which can avoid the singularities of positive semidefinite matrix and keep the algorithm′s numerical stability.

A determinant inequality of column full rank matrices is proved and some applications in matrix factorization of special matrices are presented.

3bNMF is applied to digital matrix factorization and base structure extraction respectively from Chinese characters with noise.

By means of the rank of matrix, line outspreading, it gives some conditions in which a matrix can decompose to two Kronecker products of matrix.

In this note,we describe the equivalent propositions on the rank of matrix by determinants,equivalent of matrix,system of linear equations,linear space,linear mapping and so on.

Necessary and sufficient conditions for the Frobenius inequality of rank of matrix to be equality are dicussed in this paper,and the characterization of rank of a class of matrix is characterized.