3 papers
math.OC2025
Mini-Extragradient Methods
Xiaozhi Liu, Yong Xia
The Extragradient (EG) method stands as a cornerstone algorithm for solving monotone nonlinear equations but faces two important unresolved challenges: (i) how to select stepsizes…
math.OC2025
Split-Merge Revisited: A Scalable Approach to Generalized Eigenvalue Problems
Xiaozhi Liu, Yong Xia
The generalized eigenvalue problem (GEP) serves as a cornerstone in a wide range of applications in numerical linear algebra and scientific computing. However, traditional approach…
math.OC2024
Revisiting Atomic Norm Minimization: A Sequential Approach for Atom Identification and Refinement
Xiaozhi Liu, Jinjiang Wei, Yong Xia
Atomic norm minimization (ANM) is a key approach for line spectral estimation (LSE). Most related algorithms formulate ANM as a semidefinite programming (SDP), which incurs high co…