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 ...

AS a finite dimensional linear space over the rational number field ℚ, an algebraic number field is of particular importance and interest in mathematics and engineering. Algorithms using algebraic ...

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 ...

Abstract: For the interactive computer algebra system (CAS), to solve the matching problem of different mathematical expressions between students and CAS, this paper proposes a mathematical expression ...

This repository contains algorithms for making your life easiear while studying algebra. Disclaimer: all the algorithms in this repository are very naive and it's not guaranteed that produce the ...

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 ...