Multiplicative and anti-multiplicative mappings on matrix algebra;

Automorphisms of matrix algebras over commutative semirings;

Maps on 2×2 matrix algebras preserving tripotence over fields

Using mathematic knowledge of theory of graph,the k-steps pervasion search algorithm is put forward with directed graph and cost matrix of railway station.

In this paper,the estimates of upper bounds for the spectral radius of the iterative matrix M~(-1)N for some generalized diagonally dominant matrix M are presented.

Firstly, to satisfy the convergence condition of iterative matrix, the algorithm applies diagonal loading technology to the covariance matrix and the diagonal loading value is given based on maximal gerschgorin radius of the covariance matrix.

An unified formulas of eigenvalues and eigenvectors of this kind of matrix are derived,and the eigenvalue of iterative matrix are given when this kind equation Au=f is solved by iterative method.

This paper introduces a kind of dynamic system based on matrix iteration and the definition of illumination, and describes a visualization algorithm for three-degree matrix iteration based on illumination mode.

It includes two advantages: the high speed of the average power analysis and the simpleness of matrix iteration.

In this paper, the matrix iteration method and subspace iteration method are improved.