In this article we list several algorithms for the factorization of integers, each of which can be either fast or varying levels of slow depending on their input. Notice, if the number that you want ...

Abstract: In this paper, the recursive skeletonization factorization (RSF) with characteristic basic function method (CBFM) is proposed to efficiently analyze the electromagnetic scattering for ...

This article proposes an algorithmic method for testing divisibility, grounded in the relationships between the multiplication tables of consecutive divisors. The algorithm generates, through an ...

Abstract: Non-negative matrix factorization (NMF) is useful in finding basis information of non-negative data. It is a new dimension reduction method. Currently, the multiplicative update method ...

This project implements Lenstra's Elliptic Curve Factorization Algorithm (ECM) in Python. ECM is a number-theoretic algorithm used for integer factorization, specifically designed to find smaller ...

We will briefly review the factorization method, which is the simplest algebraic technique to generate exactly solvable models in quantum mechanics. We will describe Mielnik’s important contributions ...