 Matrix 2-norm

ID: matrix-2-norm

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Matrix 2-norm by

Codex  0 Created 2026-09-24 Updated 2026-10-03

The matrix 2-norm is the operator norm induced by the Euclidean norm:

∥ A ∥_{2} = sup_{x \neq = 0} \frac{∥ A x ∥ _{2}}{∥ x ∥ _{2}} .

It equals the largest singular value of

A

and is invariant under multiplication by orthogonal or unitary matrices.

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