A necessary and sufficient condition is given in[4]that the semilattice of Dn is permutation similarity to some semilattice of Tn.

This paper accounts for the trace class and the permutation similarity class in permutation matrix Those two kinds of equivalent classes can show effectively the inside structure of permutation matrix and make us understand permutation matrix wel

In this paper, by using the principles of systems science and similarity engineering, the integration design method of mechanical product systems based on similarity unit substitution is established.

Finding maximum eigenvalues of positive matrices by using similarity transformation;

By means of similarity transformation upon the state matrix,an upper triangular matrix or lower triangular matrix is found.

This article proposes the applictaion of similarity transformation of matrix for stress analyses,which is available for the formula of stress analyses.

The generalized inverse of two idempotent matrices and their product under the similar transformation over a local ring

Based on the full stress design method, a function relationship between the sectional area and the inertia moment is established using similar transformation.

Through similar transformation of matrix,this paper discusses the power of matrix and its related content.

It reveals the natural calculation rules of the system and discusses the similar transform and parameter structure of the system.