§1.4向量和矩阵范数 >向量范数( vector norms 定义1:R空间的向量范数Ⅱ,对任意x,∈满足下列条件 ()‖≥0;‖=0=0 (2)x=对任意eC (3)‖x+ 常用向量范数: ll =Z x;= |x. I'=max x; i=1 i= 1sisn§1.4 向量和矩阵范数 ➢ 向量范数 ( vector norms ) n x y R , 对任意 定义1:Rn空间的向量范数 || · || ,对任意 满足下列条件 (1) || || 0 ; || || 0 0 x x = x = (2) || x || | | || x || = C (3) || x y || || x || || y || + + 常用向量范数: = = n i i x x 1 1 || || | | = = n i i x x 1 2 2 || || | | || || max | | 1 i i n x x =