In class, we learned about QR factorization which is often used to solve least squares problems. We learned the classic Gram-Schmidt method, which iteratively computes the column vectors in the Q matrix and the elements in the upper triangular R matrix. […]

A somewhat dated, but still relevant article published in Nature magazine describes how non-negative matrix factorization (NMF) can be used in object, and specifically, facial recognition.  While many other methods of facial recognition perform comparison analysis on the face as a whole (using, say, the eigenfaces talked about in a previous blog entry), the non-negative […]

We often discuss the practical applications of scientific computing and numerical analysis—how to solve complex mathematical systems with some arbitrary precision or how to perform some statistical analysis from a set of real-world data while minimizing error. Sometimes, however, it’s just cool to use these complex ideas to make pretty pictures. Science News […]