实三阶矩阵收敛性的判别

The decision of Convergence of the Sequence of powers of a 3×3 Matrix Over R

本文给出了在不求矩阵特征值的情形下判定一类实三阶矩阵幂收敛的充分必要条件，并对于具体的矩阵，在判断收敛情况下，对一组给定的ε，求出了相应的一组N＞0。

This paper gives a sufficient and necessary Condition of deciding the Convergence of the Sequence of akind of powers of a 3 × 3 matrix over R under Such circumstance that the matirix's eigenvalues needn't to be known,andon the convergent condition, to a Series of given εi＞0 the out a series of corresponding Ni ＞0(i =1,2, …).