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This tag is intended for questions on methods for the (constrained or unconstrained) minimization or maximization of functions.

7 votes
1 answer
1k views

Termination Criterion of Golden Section Search

Reading an implementation of the golden section search, I came across the following termination test: $$| a - d | < \varepsilon ( |b| + |c| )$$ where $a < b < c < d$ are four points at which the fun …
Christopher Johnson's user avatar
9 votes
2 answers
1k views

Initially Bracketing Minimum for Line Search

Leafing through a few textbooks, I've noticed that the problem of initially bracketing a minimum during a line search tends be an afterthought (at least in my undergraduate texts). Are there well-esta …
Christopher Johnson's user avatar
11 votes
1 answer
4k views

Why are interior point methods difficult to warm start?

I often encounter the general adage that interior point methods are difficult to warm start. Is there an intuitive explanation behind this advice? Are there situations in which one can expect benefits …
Christopher Johnson's user avatar