Frobenius Norm -- from Wolfram MathWorld

Abstraction: Definition of Frobenius norm as square root of sum of squared element magnitudes

Key points:

• Frobenius norm of a matrix is the square root of the sum of the absolute squares of all its elements
• Also called the Euclidean norm for matrices (though this term overlaps with the vector 2-norm)
• Can be treated as a vector norm by flattening the matrix
• Referenced in Golub and Van Loan (1996) and Higham's numerical algorithms text

Connections: Frobenius Norm · Matrix Norm · Linear Algebra · Wolfram Mathworld

Source: http://mathworld.wolfram.com/FrobeniusNorm.html