This paper gives improved parallel methods for several exact factorizations of some classes of symmetric positive definite (SPD) matrices. Our factorizations also provide us similarly efficient algorithms for exact computation of the solution of the corresponding linear systems (which need not be SPD), and for finding rank and determinant magnitude. We assume the input matrices have entries tha...

We generalize Schrödinger’s factorization method for Hydrogen from the conventional separation into angular and radial coordinates to a Cartesian-based factorization. Unique this approach is fact that Hamiltonian represented as sum over factorizations in terms of coupled operators depend on momenta each Cartesian direction. determine eigenstates energies, wavefunctions both coordinate momentum ...

This note establishes a result linking algebraically coprime factorizations of transfer matrices of delay systems to approximately coprime factorizations in the sense of distributions. The latter have been employed by the second author in the study of function-space controllability for such systems.

In this paper we consider MISO fractional systems with delays that are given by their transfer function. For a large class of such systems, we determine left coprime factorizations as well as associated Bézout factors, and guarantee the existence of right coprime factorizations.

The main aim of this paper is to obtain compositive cone factorizations from non-compositive ones by itereration. This is possible if and only if certain colimits of (possibly large) chains exist. In particular, we show that (strong-epi, mono) factorizations of cones exist if and only if joint coequalizers and colimits of chains of regular epimorphisms exist.

Bayesian Factorizations of Big Sparse Tensors Jing Zhou, Anirban Bhattacharya, Amy H. Herring & David B. Dunson To cite this article: Jing Zhou, Anirban Bhattacharya, Amy H. Herring & David B. Dunson (2015) Bayesian Factorizations of Big Sparse Tensors, Journal of the American Statistical Association, 110:512, 1562-1576, DOI: 10.1080/01621459.2014.983233 To link to this article: http://dx.doi.o...