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Explore recent advances in algorithms for solving linear systems through this lecture from the Complexity and Linear Algebra Boot Camp at the Simons Institute. Discover how randomization accelerates linear system solving through preconditioning techniques and stochastic iterative methods, including the randomized Kaczmarz method. Learn about cutting-edge progress in randomized solvers designed for ultra-sparse linear systems and gain insights into the active research area of solvers for structured linear systems that arise in computational and data sciences. Build upon foundational concepts without requiring extensive prior knowledge beyond introductory linear algebra topics.
