Explore the intricacies of spectral analysis in matrix and operator scaling in this 20-minute IEEE conference talk. Delve into topics such as alternating scaling algorithms, continuous matrix and operator scaling algorithms, gradient flow, and spectral conditions. Learn about the main theorem of linear convergence, condition numbers, frames, and the Paulsen problem. Discover applications, previous work in the field, frame results, and permanent open questions. Gain insights from speakers Tsz Chiu Kwok, Lap Chi Lau, and Akshay Ramachandran as they present their findings and discuss the numerical relaxation techniques used in this area of study.