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 ...

Abstract: To drastically speed up Kirsch's factorization method for inverse scattering problems, we propose a novel adaptive algorithm that automatically generates nonuniform sampling points according ...

While surface hopping has emerged as a powerful method for simulating non-adiabatic dynamics in large molecules, the ad hoc nature of the necessary velocity adjustments and decoherence corrections in ...

This research represents a fundamental departure from traditional integer factorization methods. Rather than relying on probabilistic algorithms (Pollard Rho ...

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 ...