Green, MichaelAnderson, Brian D.O.2026-01-022026-01-020020-7179ORCID:/0000-0002-1493-4774/work/174739657https://hdl.handle.net/1885/733802714We consider the factorization of an all-pass matrix function E(s) into proper, stable, minimum-phase factors. This is achieved by applying the state-space Wiener-Hopf factorization theory of Bart et al. (1983) to the state-space characterization of all-pass matrix functions given by Glover (1984). Important connections are made between the properties of E(s) as a Nehari extension, its partial Wiener-Hopf factorization indices, and its Hankel singular values.21en198710.1080/002071787089337220023139043