PUNLAG video archive
The PUNLAG seminar is intended to supplement the numerical linear algebra course sequence at Purdue. The standard course CS515 doesn't have room for a number of interesting problems -- we hope to cover some in this seminar!
In Spring 2014 the seminar was more research-oriented. You can find the abstracts of the presentations given here.
(For abstracts, hover over title)
Standard Graph Algorithms as Generalized Matrix-Vector Products (Bryan Rainey, 3/10/16)Video
Finding a best rank-1 approximation in the 1-norm (Varun Vasudevan, 3/3/16)
An Introduction to Information Based Complexity Theory (Nicole Eikmeier, 2/18/16) Video
Totally Unimodular Matrices in Linear Programming (Nate Veldt, 1/14/16) Video
The Gauss-Southwell method: intro and applications (Kyle Kloster, 10/2015)
The Fiedler and PageRank vectors, Part 2 (Kyle Kloster, 10/2015)
The Fiedler and PageRank vectors, Part 1 (Kyle Kloster, 10/2015)
Circulant matrices, the FFT, and eigenvalues: Part 2 (Kyle Kloster, 4/6/15)
Intro to circulant matrices and the Fourier transform (Kyle Kloster, 3/30/15) Video
The matrix representation of fast multipole method (FMM) in 1D (Difeng Cai, 3/23/15) Video
Erasure coding for linear system solvers (Yao Zhu, 3/20/15) Video
Intro to Fast Multipole Method (Nicole Eikmeier, 3/9/15) Video
Matrix Calculus, and Functions of Matrices (Kyle Kloster, 3/2/15)
Sources: Functions of Matrices (Higham, 2008); Matrix Calculus and Zero-One Matrices (Turkington, 2002); These excellent slides from Pedar Olsen, Steven Rennie, and Vaibhava Goel; and to see just how much a headache notation can be, see the wikipedia page on this topic.
Fast Solvers for HSS Eigenvalue Problems (Jimmy Vogel, 2/23/15) Video 1, Video 2
Fast Solvers for HSS Linear Systems (Jimmy Vogel, 2/16/15) Video
An Introduction to Rank Structured Matrices (Jimmy Vogel, 2/9/15) Video
Introduction to Kronecker Products 2 (Kyle Kloster, 2/2/15) Video
Introduction to Kronecker Products 1 (Kyle Kloster, 1/26/15) Video
Krylov and QR and polynomials (Kyle Kloster, 1/15/15) Video
All the NLA-related courses I am aware of at Purdue (let me know if I've missed one!):
MA511 Applied Linear Algebra (~every semester, maybe FA?)
Note, 511 is probably more useful for people interested in numerical linear algebra from a practical standpoint. 554 is much more about pure math theory, whereas 511 supplies the theory for people interested in applying it.
(Please report any broken links to me at
kyle -dot- kloster -at- gmail)