Partial facial reduction: simplified, equivalent SDPs via approximations of the PSD cone

Strong duality and minimal representations for cone optimization

(2012) Levent Tunçel et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

Facial Reduction Algorithms for Conic Optimization Problems

(2012) Hayato Waki et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization

(2011) Hayato Waki et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

How to generate weakly infeasible semidefinite programs via Lasserre’s relaxations for polynomial optimization

(2011) Hayato Waki   Optimization Letters

A facial reduction algorithm for finding sparse SOS representations

(2010) Hayato Waki et al.   OPERATIONS RESEARCH LETTERS

Explicit Sensor Network Localization using Semidefinite Representations and Facial Reductions

(2010) Nathan Krislock et al.   SIAM JOURNAL ON OPTIMIZATION

Pre- and Post-Processing Sum-of-Squares Programs in Practice

(2009) J. Lofberg   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

A criterion for the half-plane property

(2008) David G. Wagner et al.   DISCRETE MATHEMATICS