In this paper, a color image inpainting problem is modeled as low rank quaternion matrix optimization problem. A has smooth property inherently and all imaginary parts of the corresponding pure are nonnegative. Based on these characteristics, we introduce novel regularized model then propose factorization algorithm with convergence analysis. Numerical experiments demonstrate efficiency our prop...

Entanglement, one of the important features of quantum systems, which does not exist classically, has been known as a key resource for some quantum computation and information processes. But the entanglement of a system changes due to its unavoidable interactions with environment. To study the entanglement changes, one needs to make use of an entanglement measure in order to specify the entangl...

we prove that the class of profinite groups $g$ that have a factorization $g=ab$ with $a$ and $b$ abelian closed subgroups, is closed under taking strict projective limits. this is a generalization of a recent result by k.h.~hofmann and f.g.~russo. as an application we reprove their generalization of iwasawa's structure theorem for quasihamiltonian pro-$p$ groups.

A spanning subgraph of a graph G is called a [0,2]-factor of G, if 0 ( ) 2 d x   for ( ) x V G   . is a union of some disjoint cycles , paths and isolate vertices , that span the graph G. It is easy to get a [0,2]-factor of G and there would be many of [0,2]-factors for a G. A characteristic number for a [0,2]-factor, which reflect the number of the paths and isolate vertices in it,. The [0...

The second author was invited to write this paper by the Intellectual Property Advisory Committee (IPAC) of the UK Patent Office. She is grateful to the Director of the Intellectual Property Institute, Paul Leonard, who provided a small grant to employ Padraig Dixon, who drafted much of the eventual text. We also acknowledge the assistance of Dr. Mark Rogers, Harris Manchester College, in respe...

This note collects together some observations I made in the context of comparing graph properties by the graph minor relation [ 2 ], but which apply more generally to arbitrary subsets of a given poset. They are all simple and ought to be well known, but I have been unable to find a source. The main observation is that the subsets of an infinite poset P can be decomposed in a way that resembles...

Certain pairs of Runge-Kutta methods may be used additively to solve a system of n differential equations x' = J(t)x + g(t, x). Pairs of methods, of order p < 4, where one method is semiexplicit and /(-stable and the other method is explicit, are obtained. These methods require the LU factorization of one n X n matrix, and p evaluations of g, in each step. It is shown that such methods have a s...

All material supplied via Aaltodoc is protected by copyright and other intellectual property rights, and duplication or sale of all or part of any of the repository collections is not permitted, except that material may be duplicated by you for your research use or educational purposes in electronic or print form. You must obtain permission for any other use. Electronic or print copies may not ...

The text-to-speech intonation model we are developing derives from both linguistics, and the acoustics and aerodynamics of speech production. Our underlying premise is that in human speech production there are physical processes intrinsic to speech production, and that some of these processes can be cognitively represented – they can therefore become part of the domain of language processing. T...