Numerical Linear Algebra (Math 566)

Boise State University, Dept. of Mathematics

Textbook : Numerical Linear Algebra (N. Trefethan and D. Bau)

Semesters Taught : Sp22

Numerical solution to linear systems.

Topics

Review of matrix norms
Singular Value Decomposition
Projectors
Gram-Schmidt orthogonalization
Householder reflectors
QR Decomposition
Floating point arithmetic
Conditioning and stability of numerical stabilty.
Finding Eigenvalues of symmetric matrices