Web Reference: In this talk, we will discuss some of our recent works on novel approaches for eigenvalue problems in high dimension, using techniques from randomized algorithms, coordinate methods, and deep... Examples and questions on the eigenvalues and eigenvectors of square matrices along with their solutions are presented. The properties of the eigenvalues and their corresponding eigenvectors are also discussed and used in solving questions. In theoretical applications, eigenvalues often play an important role in the analysis of convergence of iterative algorithms (for solving linear systems), long-term behavior of dynamical systems, or stability of numerical solvers for differential equations.
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