Biconvex function

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A function LaTeX: f(x, y) on LaTeX: X \times Y that is convex on LaTeX: X for each LaTeX: y \in Y and convex on LaTeX: Y for each LaTeX: x \in X. An example is LaTeX: f(x,y) = xy on LaTeX:  \mathbb{R}^2, which is not convex in both LaTeX: x and LaTeX: y together.

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