Second assignment (due 2015/03/05):
Note: an improved version of Assignment 2 has been posted on 2015/02/25: the wording of Prob 2b was improved and the formula of 2d fixed.
Test 1 Date: In the Engineering Test Week, i.e., 27 March -- 2 April (precise date to be confirmed)
Student MATLAB: MATLAB can be purchased from MathWorks for USD45.00 (core) or USD89.00 (with toolboxes). You must register an account at www.mathworks.com using your @sun.ac.za email address. Then follow instructions at www.mathworks.com/store/link/products/student/new/
Chapter 2; Lecture Slides 2; NM262 lecture slides English Afrikaans (Linear Systems)
Chapter 3; Lecture Slides 3 (Least Squares)
Week 1 (Feb 4&5): Linear systems; existence and uniqueness of solutions; vector and matrix norms; intro to conditioning of linear systems.
Week 2 (Feb 11&12): Conditioning (cont); the A = LU and PA = LU factorizations
Week 3 (Feb 18&19): Instability of GE and the growth factor; Complexity of matrix computations; Sherman-Morrison formula
Week 4 (Feb 25&26): Symmetric positive definite systems; Cholesky factorization; Review of the least squares problem; Normal equations
Assignment 1 (handed in on Feb 19) solutions to be posted