
Applied Math Applied Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 27th, 2014, 01:58 PM  #1 
Newbie Joined: Dec 2014 From: Turkey Posts: 1 Thanks: 0  Global optimality of a convex but nonsmooth function
I have a question. The answer may be too obvious but I cannot be sure about the right answer. Let say that we have a convex but nonsmooth function which is defined as f:R2→R. For a point in R2, if we know that the function increases for the directions (1,0), (−1,0), (0,1) and (0,−1), can we sure about that this point is local optimum (because of the convexity it will be also global optimum)? Thank you in advance. 

Tags 
convex, convex optimization, function, global, global optimality, nonsmooth, nonsmooth function, optimality 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
nonpiecewise smooth function  mariam  Applied Math  1  December 27th, 2013 05:56 AM 
Convex set, convex function  Vasily  Applied Math  1  June 30th, 2012 02:57 PM 
Smooth function on a smooth manifold  martexel  Real Analysis  1  November 26th, 2010 11:49 AM 
smooth function and its derivatives  regfor3  Real Analysis  3  November 10th, 2008 06:53 AM 
yet another smooth function problem  NoSoup4u  Real Analysis  2  November 6th, 2008 06:11 PM 