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 ...

The fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is prime itself or is the ...

A version of this document that discusses the complex valued case can be found here . This material is probably best suited to students who have had a course in linear algebra already. Given a SPD ...

This Rust program implements polynomial factorization using the Rational Root Theorem. It evaluates the possible rational roots of a polynomial and determines the actual roots. Computes the divisors ...

A block representation of the BLU factorization for block tridiagonal matrices is presented. Some properties on the factors obtained in the course of the factorization are studied. Simpler expressions ...

Despite the technical-looking title this is a result arising naturally from the theory of cluster algebras. I generalise to higher dimension a theorem first shown by Usnich for surfaces. This is joint ...