Kyle Kloster

General Numerical Linear Aglebra

• - The Matrix Reference Manual contains a nice overview of linear algebra objects, identities, and theorems, including a glossary of terms.
• - The Matrix Factorization Jungle describes in detail a large variety of decompositions and factorizations of matrices.
• - The NAG maintains frequently features numerical aspects of matrix computations.
• - Nick Higham is now cataloguing software packages for computing functions of matrices.
• - Daniel A. Spielman's intro to Spectral Graph Theory and its applications.

Datasets for Networks

• - The Laboratory for Web Algorithmics maintains many datasets for large networks like Twitter, Livejournal, Facebook, and the Internet.
• - For a weekly-updated model of the Internet's hyperlink digraph, check out the Erdos Webgraph Project.
• - Stanford's SNAP collection also contains lots of large social network graphs.
• - Tim Davis's sparse matrix collection at the University of Florida contains hundreds of matrices from realworld computational problems in a variety of sizes and sparsities, all with a very nice MatLab interface (though they can be downloaded in a variety of formats).
• - Github Gist is a collection of media recommendation datasets (think of Netflix recommendations of movies to users).
• - The ILAB datacenter has data for infrastructure networks like the power grid, airline networks, and road networks in the US.

Programming Resources

• - Using 'screen' -- intro
• - Git -- introduction
• - Python -- introduction
• - C++ -- reference manual / glossary
• - Data structures -- complexity reference sheet

Blogs

• - Igor Carron's' blog Nuit Blanche touches on applications of linear algebra including compressed sensing and matrix factorizations with an eye toward Big Data and machine learning.
• - A nice blost on managing a productive relationship with your advisor (recommended to me by my own advisor).
• - My advisor David F. Gleich's blog on scientific computing.