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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 ?

ahmedshahriar
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    Why was this question closed? That is appalling. The question is self-contained in providing context. I am voting to reopen just for the principle, even though the existing answer is quite adequate. – Mark L. Stone Dec 31 '20 at 15:27

1 Answers1

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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: $$\min_{x \geq 0} f(x)$$ $$\min_x \{ f(x) : 0 \leq x_i \leq 1 \; \forall i\}$$ $$\min_x \{ f(x) : l_i \leq x_i \leq u_i \; \forall i\}$$

LinAlg
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