We learned about the QR factorization in our class. The QR factorization has so many uses that the search for accurate and faster QR factorization algorithms goes on. We could use the QR factorization in the eigenvalue and linear least squares problem to re arrange the columns of the matrix in order of linear dependence […]

Singular Value Decomposition (SVD) can also be used in Data Compression. Consider the case when say, a satellite from outer space is trying to send some photographs that it took of a UFO near Uranus, to earth. To do that, the satellite would try to digitalize its image into small pixels. Each pixel is basically […]

I know that by this point there have been far too many posts related to scientific blunders caused to rounding error. But somehow even though I swore I wouldn’t write about the same thing, coming across this article on google, I just couldn’t resist myself. So yeah, I’m not sure if anyone has mentioned the […]