In this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. Then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. In particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over Noetherian rings are proved. More...

The Complex Mode Indicator Function (or CMIF) is a popular spatial domain modal parameter estimation technique that utilizes the singular value decomposition of the frequency response function matrix for estimating the modal parameters of the system. Due to several advantages like identification of closely spaced modes, this technique is extremely popular for modal parameter estimation purposes...

In this paper we investigate decompositions of submodules in modules over a Proufer domain into intersections of quasi-primary and classical quasi-primary submodules. In particular, existence and uniqueness of quasi-primary decompositions in modules over a Proufer domain of finite character are proved. Proufer domain; primary submodule; quasi-primary submodule; classical quasi-primary; decompo...

Natural sounds can be characterised by patterns of changes in loudness (amplitude modulations), and human speech perception studies have focused on the low frequencies contained in the gross temporal structure of speech. Low-pass filtering the temporal envelopes of sub-band filtered speech maintains intelligibility, but it remains unclear how the human auditory system could perform such a modul...

in this paper we investigate decompositions of submodules in modules over a proufer domain into intersections of quasi-primary and classical quasi-primary submodules. in particular, existence and uniqueness of quasi-primary decompositions in modules over a proufer domain of finite character are proved. proufer domain; primary submodule; quasi-primary submodule; classical quasi-primary; decomposi...

In this paper we give new results on domain decomposition preconditioners for GMRES when computing piecewise-linear finite-element approximations of the Helmholtz equation −∆u − (k2 + iε)u = f , with absorption parameter ε ∈ R. Multigrid approximations of this equation with ε 6= 0 are commonly used as preconditioners for the pure Helmholtz case (ε = 0). However a rigorous theory for such (so-ca...