Local optimum
（重定向自Local optima）
![Attraction basins around locally optimal points](/Images/godic/202501/24/Local_search_attraction_basins4659.png")
![Polynomial of degree 4: the trough on the right is a local minimum and the one on the left is the global minimum. The peak in the center is a local maximum.](/Images/godic/202501/24/Polynomialdeg44659.png")
In applied mathematics and computer science, a local optimum of an optimization problem is a solution that is optimal (either maximal or minimal) within a neighboring set of candidate solutions. This is in contrast to a global optimum, which is the optimal solution among all possible solutions, not just those in a particular neighborhood of values.