Linear algebra from a numerical solution perspective. Topics include direct and iterative methods for solving linear systems; vector and matrix norms; condition numbers; least squares problems; orthogonalization, singular value decomposition; computation of eigenvalues and eigenvectors; conjugate gradient methods; preconditioners for linear systems; computational cost of algorithms. Topics will be supplemented with programming assignments. Matrix factorizations, conditioning and stability, Krylov subspace methods and reconditioning.

Prerequisite: Graduate Standing (Undergraduate Analysis and Linear Algebra)

Syllabus MATH 690

📊 Grading Policy

Textbook/References

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Homework (15%)

Project(35%)

Presentations (0%)

📜 Mid Exam(20%)

📜 Final Exam(30%)