Courses

 

MA 522 - Matrix Theory and Numerical Linear Algebra I.

Review of basic linear algebra from a constructive and geometric point of view. Factorizations of Gauss, Cholesky and Gram-Schmidt; determinants; linear least squares problems; rounding error analysis; stable methods for updating matrix factorizations and for linear programming; introduction to Hermitian eigenvalue problems and the singular value decomposition via the QR algorithm and the Lanczos process; method of conjugate gradients. (Same as CS 522.)
Prerequisite: MA 322.
Possible Instructors: Ding, Ye.
Status of Course: Course functioning each fall.

MA 537 - Numerical Analysis.

Finite-precision (floating-point) arithmetic; solution of non-linear equations; approximation of functions; numerical differentiation and integration; numerical solution of ordinary differential equations. (Same as MA 537 and EGR 537.)
Prerequisite: MA 322.
Possible Instructors: Ding, Qin, Ye.
Status of Course: Course functioning.

MA 622 - Matrix Theory and Numerical Linear Algebra II.

Numerical solution of matrix eigenvalue problems and applications of eigenvalues; normal forms of Jordan and Schur; vector and matrix norms; perturbation theory and bounds for eigenvalues; stable matrices and Lyapunov theorems; nonnegative matrices; iterative methods for solving large sparse linear systems.
Prerequisite: MA 522 or consent of instructor. Possible Instructors: Ding, Ye.
Status of Course: Course functioning each spring.

 

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