3 papers
math.OC2026
Complexity of Error Bounds for Systems of Linear Inequalities
Zhou Wei, Michel Thera, Jen-Chih Yao
Error bounds have been studied for more than seventy years, beginning with the seminal result of Hoffman (1952) [{\it J. Res. Natl. Bur. Standards}, 49 (1952), 263--265], which est…
math.OC2026
New Outer Approximation Algorithms for Nonsmooth Convex MINLP Problems
Zhou Wei, He-Yi Liu, Bo Zeng
This paper presents a novel outer approximation algorithm for nonsmooth mixed-integer nonlinear programming (MINLP) problems. The method proceeds by fixing the integer variables an…
math.OC2025
Metric Subregularity of Multifunctions and Applications to Characterizations of Asplund Spaces
Zhou Wei, Michel Thera, Jen-Chih Yao
In this paper, we investigate metric subregularity of multifunctions between Asplund spaces. Using Mordukhovich normal cones and coderivatives, we introduce the limiting Basic Cons…