Convergence of Random Matrix Spectral Bounds Across 59 Test Problems

Abstract

Recent advances in field-deployable approaches have opened new routes to studying random matrix spectral bounds. Our protocol combines field-deployable estimation with a lightweight validation pipeline designed to be reproducible by student laboratories. Our measurements agree with theoretical predictions to within 22%, resolving an open discrepancy in the literature. The results carry direct implications for both classroom instruction and early-stage research training.