矩阵算子范数-例子 IIAll: 三 Ax max max X≠0 lxl 1≤j≤n ∑=1lai,l IIAll IlAx‖o = max max X≠0 lxll∞ 1≤i≤n 271 laijl lAxl2 IIAll2 三 max max vxTATAx X≠0 xl lxl2≤1 (Courant Fischer) =V几max(ATA) IlAp→g= lAxla max X≠0 xl 19矩阵算子范数-例子 � - ≔ max >?@ A> ! > ! = max -B/B+ ∑1C- + |�1,/| � E ≔ max >?@ A> " > " = max -B1B+ ∑/C- + |�1,/| � 0 ≔ max >?@ �� 0 � 0 = max > #B- �.�.�� = �FG>(�.�) � H→J ≔ max >?@ �� J � H 19 (Courant Fischer)