Last Updated：2025/11/20

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(mathematics) A measure of length given by the square root of the squares. Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m⨯m matrix A is defined by max _(⃑v≠⃑0)|/} where ⃑v is an m-dimensional vector that is not the zero vector.

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two-norm

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Source Word

two-norm

Noun

(mathematics) A measure of length given by "the square root of the squares." Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m⨯m matrix A is defined by max _(⃑v≠⃑0)|/} where ⃑v is an m-dimensional vector that is not the zero vector.

Japanese Meaning

ベクトルや行列の要素の二乗和の平方根で定義される長さの尺度。通常、Euclideanノルムとも呼ばれる。