We show how to construct a linearly independent set of antisymmetrized geminal power (AGP) states, which allows us rewrite our recently introduced replacement models as linear combinations non-orthogonal AGPs. This greatly simplifies the evaluation matrix elements and permits introduce an AGP-based selective configuration interaction method, can reach arbitrary excitation levels relative refere...

design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structures are presented. these include techniques for designing non-separable multidimensional paraunitary matrices. properties of the structures are obtained and proofs given. paraunitary matrices play a central role in signal processing, in particular in the areas of filterbanks and wavelets.