By applying the canonical correlation decomposition of matrix pairs , the necessary and sufficient conditions for the existence of the lim λ→ 0 X (λ I + YAX ) - 1 Y are obtained , some applications are presented .
借助于矩阵对的标准相关分解,导出了极限limλ→0X(λI+YAX)-1Y存在的充分必要条件,在极限存在的情况下,给出了极限的表达式,并讨论了结果的一些应用。