I came across the term "box-constrained mathematical optimization problem" while reading a research paper.
Can someone please explain what 'box-constrained' and "box-constrained mathematical optimization problem" mean ?
2026-04-01 16:40:24.1775061624
What is "box-constrained mathematical optimization problem"?
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It is a problem where the only constraints are upper and lower bounds on the variables (which can be $\pm \infty$). Examples are: $$\min_{x \geq 0} f(x)$$ $$\min_x \{ f(x) : 0 \leq x_i \leq 1 \; \forall i\}$$ $$\min_x \{ f(x) : l_i \leq x_i \leq u_i \; \forall i\}$$