Course Schedule and Catalog

Long Title: TOPICS IN NUMERICAL LINEAR ALGEBRA

Department: *Computational & Applied Math*

Grade Mode: Satisfactory/Unsatisfactory

Course Type: Seminar

Credit Hours: 1 TO 3

Prerequisite(s): CAAM 551 or permission of instructor

Description: Selected topics will vary depending on instructor and student interests. Derivation and analysis of Krylov and subspace iteration methods for large eigenvalue problems (Lanczos, Arnoldi, Jacobi-Davidson algorithms); preconditioning for linear systems and eigenvalue problems (incomplete LU, domain decomposition, multigrid); convergence analysis including potential theory and pseudospectra. Applications: regularization of discrete inverse problems; dimensions reduction for large dynamical control systems; linear stability of dynamic applications involving nonnormal matrices. Repeatable for Credit.