关于严格局部极小值处非凸泛函的增长性

On the Growth of Nonconvex Functionals at Strict Local Minimizers

SIAM Journal on Optimization · 2026
被引 0
ABS 3

中文导读

该文给出严格局部极小值处增长条件的新刻画,主要结果是倾斜稳定性的变体及经典Polyak-Łojasiewicz条件的类比,用线性扰动代替梯度,适合优化理论研究者。

Abstract

We give new characterizations of growth conditions at strict local minimizers. The main characterizations are a variant of the so-called tilt stability property and an analog of the classical Polyak--Łojasiewicz condition, where the gradient is replaced by linear perturbations.

数学优化数学计算机科学组合数学应用数学