Virtual simulation test of perception factors for operating speed;

The principle fundamentals of the quasi Jordan decomposition of a matrix and a program of obtaining the invariant factors and the elemantary divisor structure of a rational matrix are given in this paper.

The question that how to determine a module M over a commutative ring R with invariant factors was discussed,and the result indicated that M was such an R-module if and only if the fractional module S-1M over the fractional ring S-1R had invariant factors whenever the multiplicative subset S of R was invertible in R/AnnR(M) being the annihilator of M in R.

There are some calculating methods for eigenpolynomial of a square matrix A, in this paper,we give a kind of calculating method for eigenpolynomial of a square matrix A when invariant factors of E-A are 1,.

Initial study on the effects in the callus cell of the saponins and flavones contents Gynostemma pentaphllum (Thunb.) Makino by different factors;