According to the definition of matrix power series and the convergence property of the power series , using the type compare method , the thesis got and verified part convergence properties of the matrix power series 摘要根據(jù)矩陣冪級(jí)數(shù)的定義和數(shù)學(xué)分析中冪級(jí)數(shù)的收斂性質(zhì),運(yùn)用類比的推理法,得到并驗(yàn)證了矩陣冪級(jí)數(shù)的部分相應(yīng)的收斂性質(zhì)。