Solving Algorithm NCL’s Subproblems: The Need for Interior Methods

Authors: Ding Ma, Dominique Orban, Michael A. Saunders

Source: Vietnam Journal of Mathematics.

Subject Terms: Numerical Analysis, Computational Theory and Mathematics, Matrix Theory and Algorithms, Advanced Optimization Algorithms Research, Numerical methods for differential equations

Counterexample and an additional revealing poll step for a result of 'analysis of direct searches for discontinuous functions'

Authors: Charles Audet, Pierre-Yves Bouchet, Loïc Bourdin

Source: Mathematical Programming. 208:411-424

Subject Terms: Numerical Analysis, Computational Theory and Mathematics, Advanced Optimization Algorithms Research, Optimization and Variational Analysis, Ocean Engineering, Water resources management and optimization

Access URL: https://publications.polymtl.ca/65068/
https://doi.org/10.1007/s10107-023-02042-3

Cuts and semidefinite liftings for the complex cut polytope

Authors: Lennart Sinjorgo, Renata Sotirov, Miguel F. Anjos

Source: Mathematical Programming.

Subject Terms: Numerical Analysis, Computational Mechanics, Polyhedral combinatorics, Complex semidefinite programming, Angular synchronization, MIMO, Complex cut polytope, Optimization and Control (math.OC), Advanced Optimization Algorithms Research, FOS: Mathematics, Electrical and Electronic Engineering, graph theory and CDMA systems, Sparse and Compressive Sensing Techniques, Mathematics - Optimization and Control, 52B05, 60G35, 90C20, 90C22

Access URL: http://arxiv.org/abs/2402.04731
https://publications.polymtl.ca/65066/
https://doi.org/10.1007/s10107-024-02147-3