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: We present a new algebraic framework for linear trellises which yields a new and simpler proof of the fundamental Factorization Theorem by Koetter and Vardy [4], and which sheds light on ...

Abstract: Bivariate polynomial factorization is an important stage of algebraic soft-decision decoding of Reed-Solomon (RS) codes and contributes to a significant portion of the overall decoding ...

Algebraic factorization and semigroup theory form a cornerstone of contemporary abstract algebra, investigating how elements within algebraic structures decompose into irreducible components, or atoms ...

3. Iterative Methods for solving the EigenValue Problem: Iterative Methods known for solving the eigenvalue problem are: Rayleigh Quotient Iteration: finds the eigenvector and eigenvalue pair closest ...

Prime factorization is the process of breaking down a number into its prime factors. Prime factors are prime numbers that, when multiplied together, produce the original number. For 24, the prime ...

Prime factorization is the process of expressing an integer as the product of prime numbers only. For example, 140 would be expressed as 2x2x5x7. For each integer, there is only one correct ...