Workaround for Mathematica where the Minimize function cannot find the global minimum value

Always use minimize to find the minimum value of a function under the specified constraint, and recently found that using minimize in a nonlinear function does not provide a "global" minimum (using Mathematica just to validate the algorithm, so no matter what method, only want to find the global minimum value, Regardless of their efficiency). Finally, the following instructions are found in the Help documentation:

Also find the Nminimize function, found that it has more careful description:

According to the instructions, if the function f is non-linear, it is possible to obtain a local minimum value, but the method has the option to set:

Setting the method to a different value here may give the global optimal solution.

Record here.

Workaround for Mathematica where the Minimize function cannot find the global minimum value