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 ...