The matrix power series is studied,by using all kinds of relations between eigenvalue of squre matrix A and power series of square matrix A ,this article has given a series of criteria of the absolute convergence and divergence of the square matrix power series.
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郭华.关于方阵幂级数收敛性判定定理的一些注记[J].智能科学与工程学报,2012,29(7):33-35 GUO Hua. Notes on Determination Theorem of the Convergence of Square Matrix Power Series[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2012,29(7):33-35