2021/10/07 by Wang, Xianfu, Wang, Ziyuan
#26B25 #26D10 #90C26 #FOS: Mathematics #Optimization and Control (math.OC) #Primary 49J53 #Secondary 26A51
paper · doi:10.48550/arxiv.2110.03795
In this paper, we propose several calculus rules for the generalized concave Kurdyka-Łojasiewicz (KL) property, which generalize Li and Pong's results for KL exponents. The optimal concave desingularizing function has various forms and may be nondifferentiable. Our calculus rules do not assume desingularizing functions to have any specific form nor differentiable, while the known results do. Several examples are also given to show that our calculus rules are applicable to a broader class of functions than the known ones.