Finding Congruences of Squares: The algorithm searches for numbers that, when squared, are congruent to the target number modulo a given base. This process identifies potential factors. Linear Algebra ...
This project provides a comprehensive toolkit for primality testing and integer factorization. Designed for both educational and research purposes, these algorithms showcase various mathematical ...
Abstract: Matrix factorization is a popular framework for modeling low-rank data matrices. Motivated by manifold learning problems, this paper proposes a quadratic matrix factorization (QMF) framework ...
Abstract: We present a general purpose solver for quadratic programs based on the alternating direction method of multipliers, employing a novel operator splitting technique that requires the solution ...
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