Testing Positive Semi-Definiteness via Random Submatrices

Testing Positive Semi-Definiteness via Random Submatrices

Explore a 25-minute IEEE conference talk on testing positive semi-definiteness through random submatrices. Delve into the research presented by Ainesh Bakshi, Nadiia Chepurko, and Rajesh Jayaram from Carnegie Mellon University and Massachusetts Institute of Technology. Learn about the bounded entry model, problem statement, norms, and eigenvalue identities. Understand the main algorithm, its analysis, and the high-level solution proposed. Discover the concept of indistinguishability and discuss open problems in this field of matrix theory and linear algebra.