We are interested in the study of the first difference operator. This one can be represented by the infinite matrix ∆. Many authors have given results on this last operator, see for instance Malkowsky [8],[9], Kizmaz [2], Çolak and Et [1] and more recently de Malafosse [6]. These authors gave many characterizations of the operators A mapping the space (∆μ)−1 (l∞) into l∞, that is A ∈ (l∞ (∆) , ...

This paper considers the robust stability of time delay systems by means of quadratic separation theory. Using this formalism both delay independent and delay dependent criteria are provided. In the nominal case, without uncertainties, our result is shown to be equivalent to other LMI-based results from the literature. Finally, an academic example is provided to show the effectiveness of this r...

Recent advances in wearable camera technology have led to novel applications in the field of Preventive Medicine. For some of them, such as cognitive training of elderly people by digital memories and detection of unhealthy social trends associated to neuropsychological disorders, social interaction are of special interest. Our purpose is to address this problem in the domain of egocentric phot...

Recently, there are numerous publications in different sources devoted to the study of the structure, composition, functions and essence of finances of households and their influence on the organization of economic relations between the main elements of the financial system of a state. Current financial science represents some theoretical and scientific concepts in terms of activities of househ...

This paper presents a 3D echocardiographic image segmen-tation procedure based on deformable surfaces. We rst propose to adapt ltering techniques to the cylindrical geometry of several 3D ultrasound image devices. Then we compare the eeect of diierent external forces on a surface template deformation inside volumetric echocardiographic images. An original method involving region grey-level anal...

In these lecture notes for the Les Houches School on Applications of Random Matrices in Physics we give an introduction to the connections between matrix models and topological strings. We first review some basic results of matrix model technology and then we focus on type B topological strings. We present the main results of Dijkgraaf and Vafa describing the spacetime string dynamics on certai...

Several “distances” between the spectra of two regular matrix pencils are discussed and compared. The relations obtained enable us to estimate upper bounds on one “distance” via known upper bounds on others. We also give some perturbation bounds and then show how to apply the relations obtained in this note.

As reported in earlier work, the authors have constructed a mechanism for structuring design communications at a leading American automobile maker using a variation of the Design Structure Matrix (DSM). This paper provides a formal process to create similar matrices and outlines a mechanism for keeping participants updated on the design status. The original work was carried out in collaboration...

In this paper, we study the problem of recovering a tensor with missing data. We propose a new model combining the total variation regularization and low-rank matrix factorization. A block coordinate decent (BCD) algorithm is developed to efficiently solve the proposed optimization model. We theoretically show that under some mild conditions, the algorithm converges to the coordinatewise minimi...

in the present paper, we introduce the sequence space [{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left|  sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},] where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. we investigate its topological properties and inclusion relations. moreover, we consider the problem of fin...