Solution of large, sparse linear systems is an important problem in science and engineering. Such systemsarise in many applications, such as electrical networks, stress analysis, and more generally, in the numeri-cal solution of partial differential equations. When the coefficient matrices associated with these linearsystems are symmetric and positive definite, the systems are often...

A generic tool for analyzing sparse approximation algorithms is the restricted isometry property (RIP) introduced by Candès and Tao. For qualitative comparison of sufficient conditions derived from an RIP analysis, the support size of the RIP constants is generally reduced as much as possible with the goal of achieving a support size of twice the sparsity of the target signal. Using a quantitat...

In this paper, we introduce the concept of generalised inverse (ginverse) for intuitionistic fuzzy matrices (IFMs). We define minus partial ordering and studied several properties of it. Here we have shown that the minus partial ordering is a partial ordering for IFMs.

Hydrogels have numerous biomedical applications including synthetic matrices for cell culture and tissue engineering. Here we report the development of hydrogel based multifunctional matrices that not only provide three-dimensional structural support to the embedded cells but also can simultaneously provide potentially beneficial dynamic mechanical and electrical cues to the cells. A unique asp...

O R IG IN A L A R T IC L E Alexandre Rodrigues Guerzoni Érika Cristina Pavarino-Bertelli Moacir Fernandes de Godoy

We will establish lower bounds in terms of the level for the number of holomorphic cusp forms of weight k > 2 whose various L-functions do not vanish at the central critical point. This work generalizes the work of W. Duke [1] which was for the case of weight 2.

in this paper we consider the group algebra $r(c_2times‎ ‎d_infty)$‎. ‎it is shown that $r(c_2times d_infty)$ can be‎ ‎represented by a $4times 4$ block circulant matrix‎. ‎it is also‎ ‎shown that $mathcal{u}(mathbb{z}_2(c_2times d_infty))$ is‎ ‎infinitely generated‎.

let $cr_{n}(f)$ denote the algebra of $n times n$ circulant matrices over the field $f$. in this paper, we study the unit group of $cr_{n}(f_{p^m})$, where $f_{p^m}$ denotes the galois field of order $p^{m}$, $p$ prime.