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 theoretical analysis and computational implementation of factorization-based methods for the numerical solution of linear boundary value problems for ordinary differential equations are presented.

A factorization theorem is proved in the Hardy spaces Hp of the bi-upper half plane, $0 < p \leq 1$. The proof is based on some fundamental work of Chang-Fefferman on atomic decompositions of Hp.