格式：n=norm(A,p) 功能：norm函数可计算几种不同类型的矩阵范数,根据p的不同可得到不同的范数

以下是Matlab中help norm 的解释

NORM   Matrix or vector norm.     For matrices...       NORM(X) is the largest singular value of X, max(svd(X)).       NORM(X,2) is the same as NORM(X).       NORM(X,1) is the 1-norm of X, the largest column sum,                       = max(sum(abs(X))).       NORM(X,inf) is the infinity norm of X, the largest row sum,                       = max(sum(abs(X'))).       NORM(X,'fro') is the Frobenius norm, sqrt(sum(diag(X'*X))).       NORM(X,P) is available for matrix X only if P is 1, 2, inf or 'fro'.     For vectors...       NORM(V,P) = sum(abs(V).^P)^(1/P).       NORM(V) = norm(V,2).       NORM(V,inf) = max(abs(V)).       NORM(V,-inf) = min(abs(V)).

1、如果A为矩阵

n=norm(A) 《Simulink与信号处理》

返回A的最大奇异值，即max(svd(A))

n=norm(A,p) 

根据p的不同，返回不同的值

norm(A,p)

返回向量A的p范数。即返回 sum(abs(A).^p)^(1/p),对任意 1