本文详细介绍了弗罗贝尼乌斯范数的概念及其计算方式，这是一种矩阵范数，也被视为一种向量范数。弗罗贝尼乌斯范数定义为矩阵元素绝对平方和的平方根，等价于矩阵与其共轭转置的迹的平方根。
Frobenius Norm
The Frobenius norm, sometimes also called the Euclidean norm (which may cause confusion with the vector 
-norm which also sometimes known as the Euclidean norm), is matrix norm of an 
matrix 
defined as the square root of the sum of the absolute squares of its elements,
 |
(Golub and van Loan 1996, p. 55).
The Frobenius norm can also be considered as a vector norm.
It is also equal to the square root of the matrix trace of 
, where 
is the conjugate transpose, i.e.,
 |
The Frobenius norm of a matrix 
is implemented as Norm[m, "Frobenius"] and of a vector 
as Norm[v, "Frobenius"].
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