The text is "Computational Methods of Linear Algebra, Second Edition," Granville Sewell, John Wiley & Sons, 2005
Topics | Sewell book |
---|---|
Reference Material | Chapter 0 |
Systems of Linear Equations | Chapter 1 |
Linear Least Squares Problems | Chapter 2 |
The Eigenvalue Problem | Chapter 3 |
Linear Programming | Chapter 4 |
Fast Fourier Transform | Chapter 5 |
read sections | do problems | date due |
---|---|---|
0.1-0.3,1.1-1.4 | 1.1,1.2*,1.4a,1.5*,1.14 | June 4 |
1.5-1.7 | 1.8,1.12a*b* | June 4 |
1.8 | 1.10,1.11,1.12c*,1.13 | June 4 |
- | 1.15,1.16* | June 11 |
2.1,2.2 | 2.1,2.2,2.4*,2.5* | June 11 |
2.3,2.4,3.1 | 2.7a*,2.8,2.9*,2.10 | June 11 |
3.2,3.3 | 3.1,3.3,3.6*,3.9*,3.10ab | June 18 |
3.4-3.6 | 3.12,3.13,3.15*,3.18 | June 18 |
- | 3.17ab*cdef*gh | June 18 |
4.1,4.2,4.4 | 4.1abcd | June 25 |
4.3 | 4.2,4.3,4.4,4.5*,4.11 | June 25 |
4.5,4.6 | 4.7*,4.8,4.9ab*,4.10 | June 25 |
5.1-5.3 | 5.1*,5.7bc*,5.9* | June 29 |
* = requires use of MATLAB
note: problems 3.17gh and 4.9b are not in the book, but are "additional problems" found at the book web page (link immediately below). These problems are extra credit (1.16 is also extra credit).
Download MATLAB Functions from Book
Chapter 1 Video (LU decomposition)
Chapter 1 Video (Band solvers and iterative methods)
Chapter 2 Video (QR decomposition)
Chapter 3 Video (Jacobi and QR methods for eigenvalues)
Chapter 3 Video (Power method for eigenvalues)
Chapter 4 Video (Resource Allocation Problem)
Chapter 4 Video (Artificial Variables)
Chapter 4 Video (The Dual Problem)
Chapter 5 Video (The Fast Fourier Transform)
Chapter 6 Video (Linear Algebra on Supercomputers)