UGC NET CSE | July 2018 | Part 2 | Question: 82

Question

Which of the following statements is false about convex minimization problem?

• A. If a local minimum exists, then it is a global minimum
• B. The set of all global minima is convex set
• C. The set of all global minima is concave set
• D. For each strictly convex function, if the function has a minimum, then the minimum is unique

Answer 1

The following statements are true about the convex minimization problem:

• if a local minimum exists, then it is a global minimum.
• the set of all (global) minima is convex.
• for each strictly convex function, if the function has a minimum, then the minimum is unique.

Source : https://en.wikipedia.org/wiki/Convex_optimization