Abstract: We present a novel way to produce dense linear algebra factorization algorithms. The current state-of-the-art (SOA) dense linear algebra algorithms have a performance inefficiency, and thus ...

Abstract: We present new algebraic approaches for several wellknown combinatorial problems, including non-bipartite matching, matroid intersection, and some of their generalizations. Our work yields ...

Surprise: You can answer this question with modern algebra. Most folks who have been through high school mathematics courses will have taken a class called algebra - maybe even a sequence of classes ...

This repository contains implementations of several fundamental linear algebra algorithms in Scilab. These algorithms were developed as part of a course on Numerical Linear Algebra and include ...

Quantum computers can do wondrous things: too bad they do not exist yet. That has not stopped physicists from devising new algorithms for the devices, which can calculate a lot faster than ordinary ...

This paper observes approaches to algebraic analysis of GOST 28147-89 encryption algorithm (also known as simply GOST), which is the basis of most secure information systems in Russia. The general ...