local minimum
Noun
Meaning
local minimum (plural local minimums or local minima)
(mathematics) A point on a graph (or its associated function) whose value is less than all other points near it.
Related terms
Examples
A nonoptimal cladogram will be selected if the program settles on a local minimum rather than the desired global minimum.
As of July 2017, 25 states have passed laws that preempt cities from adopting their own local minimum wage laws.
For example, the interpolant above has a local maximum at x ≈ 1.566, f(x) ≈ 1.003 and a local minimum at x ≈ 4.708, f(x) ≈ −1.003.
If all of the eigenvalues are positive, then the point is a local minimum; if all are negative, it is a local maximum.
If the eigenvalues are all positive, then the frequencies are all real and the stationary point is a local minimum.
Secondly, the optimization method used might not be guaranteed to converge when far away from a local minimum.