Any of a sequence of values which is less than or equal to those adjacent to it; (in later use) especially a value of a function which is less than or equal to all of the values it assigns to a neighbourhood of the point to which that value corresponds.
Origin
Late 19th century.
Definition of local minimum in US English:
local minimum
noun
Mathematics
Any of a sequence of values which is less than or equal to those adjacent to it; (in later use) especially a value of a function which is less than or equal to all of the values it assigns to a neighbourhood of the point to which that value corresponds.