 ##  [Frobenius Norm](/frobenius-norm) 

  ##  [Frobenius Norm](https://natural.quantumdictionary.io/frobenius-norm-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

A matrix norm given by the square root of the sum of the squares of all entries; equivalently the l2 norm of the matrix viewed as a vector or sqrt(trace(A^T A)).

 
 ##  [Frobenius Norm](https://algebra.quantumdictionary.io/frobenius-norm-1) 

  
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- Pure Mathematics -

**Algebra Dictionary**

 
Definition

The Frobenius norm of a matrix is the square root of the sum of the squares of all its entries; equivalently it is the l2 norm of the vector of singular values and equals sqrt(trace(A^* A)).