[?] Find first local minima?

Questions
1

Dear All,

I have a list as following (for example)

data = {10,8,7,6,5,3,4,5,2,3,2,1,0}

The first local minima is 3.

How can I find this value in Mathematica ?

Thank so much for your help.

2

-FindPeaks[-data][[1, 2]]
(* 3 *)

3

Mia,

In addition to Rohit’s solution, you can also do:

In[1]:= FindMinimum[Interpolation[data][x], {x, 1}, AccuracyGoal → 5]

Out[1]= {3., {x → 6.}}