一维情况
%2016.6.5 %author:Lola %description:p范数 clc close all clear all x1= -2:0.01:2; x=abs(x1); p=[0.5 1 2]; y1=x.^(p(1)); y2=x.^(p(2)); y3=x.^(p(3)); plot(x1,y1,'c:','linewidth',2); hold on plot(x1,y2,'r-.','linewidth',2); plot(x1,y3,'g','linewidth',2); xlabel('x'); ylabel('|x|_p'); legend('p=0.5','p=1','p=2');
二维情况
x1=-1:0.01:1; x=abs(x1); p=[0.5 1 2]; y=1; y1=(y^p(1)-x.^p(1)).^(1/p(1)); y2=(y^p(2)-x.^p(2)).^(1/p(2)); y3=(y^p(3)-x.^p(3)).^(1/p(3)); ylim=([-1,1]); plot(x1,y1,'c:','linewidth',2); hold on plot(x1,-y1,'c:','linewidth',2); plot(x1,y2,'r-.','linewidth',2); plot(x1,-y2,'r-.','linewidth',2); plot(x1,y3,'g','linewidth',2); plot(x1,-y3,'g','linewidth',2); xlabel('x_1'); ylabel('x_2'); legend('p=0.5','p=1','p=2');