18.335J Introduction to Numerical Methods
Advanced introduction to numerical linear algebra and related numerical methods. Topics include direct and iterative methods for linear systems, eigenvalue and QR/SVD factorizations, stability and accuracy, floating-point arithmetic, sparse matrices, preconditioning, and the memory considerations underlying modern linear algebra software. Starting from iterative methods for linear systems, explores more general techniques for local and global nonlinear optimization, including quasi-Newton methods, trust regions, branch-and-bound, and multistart algorithms. Also addresses Chebyshev approximation and FFTs. MATLAB is introduced for problem sets.
18.335J will be offered this semester (Spring 2018). It is instructed by S. G. Johnson.
This class counts for a total of 12 credits. This is a graduate-level class.
You can find more information at the 18.335J/6.337J Fall 2013 - Introduction to Numerical Methods site.
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