1矩阵序列与矩阵级数 设m×n型矩阵序列为A)},其中 k)(k) (k) 2 (k) (k),(k) (k) 21 22 2n,k=1,2,…, ()a(k (h mlm mn 定义1:Iima:(4 =ij lim A' 1(k) A k→)0 k→)∞, 1,2, , ( ) ( ) 2 ( ) 1 ( ) 2 ( ) 2 2 ( ) 2 1 ( ) 1 ( ) 1 2 ( ) 1 1 ( )         =               = k a a a a a a a a a A k mn k m k m k n k k k n k k k 设mn型矩阵序列为{A (k) }, 其 中A A k k = → ( ) 定义 1： ij lim k ij k a = a → ( ) lim 1 矩阵序列与矩阵级数