Last Updated :2025/12/02

cocoercive

Adjective
not-comparable of an operator
Japanese Meaning
数学的な文脈において、演算子がある定数 L ≥ 0 を満たす場合に、その全ての x と y に対して、1/L ||Ax – Ay||²以上の性質(不等式的な評価)を成立させること、すなわちその演算子が一定の「ココーシブ性」を有することを意味する。
What is this buttons?

この変分不等式について、演算子がある定数 L ≥ 0 が存在して任意の x, y に対して不等式 ⟨A(x) − A(y), x − y⟩ ≥ L ||A(x) − A(y)||^2 を満たす性質を持つと仮定すると、反復法の全域収束を証明できます。

Quizzes for review

(mathematics, of an operator) Having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, is greater than or equal to 1/L ||Ax - Ay||², where Ax is the operator applied to x.

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See correct answer

cocoercive

For this variational inequality, assuming the operator is cocoercive allows us to prove global convergence of the iterative scheme.

See correct answer

For this variational inequality, assuming the operator is cocoercive allows us to prove global convergence of the iterative scheme.

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