In this article we consider matrix factorizations of a polynomial where the two matrices appearing in the factorization are the same, which we call "matrix square roots." The main result is that any ...

Over the centuries, mathematicians have developed a variety of methods of solving equations. Using the capabilities of modern computers, they have explored in detail how these age-old recipes ...

This is a preview. Log in through your library . Abstract The general number field sieve (GNFS) is the most efficient algorithm known for factoring large integers. It consists of several stages, the ...