Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201040420151201Classical Wavelet Transforms over Finite Fields241257519629ENA. Ghaani FarashahiNumerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics,
University of Vienna, AustriaJournal Article20151017This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as a finite coherent sum of classical wavelet coefficients.http://jlta.iauctb.ac.ir/article_519629_367664d14c6c6e9ed672f0eb86741623.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201040420151201Duals and approximate duals of g-frames in Hilbert spaces259265519743ENM. Mirzaee AzandaryaniDepartment of Mathematics, Faculty of Science, University of Qom, Qom, IranA. KhosraviFaculty of Mathematical Sciences
and Computer, Kharazmi University, Tehran, IranJournal Article20151101In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.http://jlta.iauctb.ac.ir/article_519743_c1a1ab8a975c32f864c271d4d21132b4.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201040420151201Generalized superconnectedness267273519888ENE. BouassidaDepartment of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, TunisiaB. GhanmiDepartment of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, TunisiaR. MessaoudDepartment of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, TunisiaA. MissaouiDepartment of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, TunisiaJournal Article20150801A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion superconnected. The main purpose of this paper is to study generalized superconnected spaces. Various characterizations of generalized superconnected spaces and preservation theorems are discussed.http://jlta.iauctb.ac.ir/article_519888_bf48e0ba05bf08f2f815c3f0683cd60a.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201040420151201Quotient Arens regularity of $L^1(G)$275281520428ENA. Zivari-KazempourDepartment of Mathematics, University of Ayatollah Borujerdi, Borujerd, IranJournal Article20151209Let $mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $mathcal{A}^prime$. In this paper we study the quotient Arens regularity of $mathcal{A}$ with respect to $E$ and prove that the group algebra $L^1(G)$ for a locally compact group $G$, is quotient Arens regular with respect to certain introverted subspace $E$ of $L^infty(G)$. Some related result are given as well.http://jlta.iauctb.ac.ir/article_520428_4afeac134e032a7734d87bb8535bcc8d.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201040420151201Some results on higher numerical ranges and radii of quaternion matrices283288521627ENGh. AghamollaeiDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranN. Haj AboutalebiDepartment of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, IranJournal Article20151220Let $n$ and $k$ be two positive integers, $kleq n$ and $A$ be an $n$-square quaternion matrix. In this paper, some results on the $k-$numerical range of $A$ are investigated. Moreover, the notions of $k$-numerical radius, right $k$-spectral radius and $k$-norm of $A$ are introduced, and some of their algebraic properties are studied.http://jlta.iauctb.ac.ir/article_521627_0cf027f7acaa74c10315e711d0443cc6.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201040420151201A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods289304521628ENM. Nili AhmadabadiDepartment of Mathematics, Najafabad Branch, Islamic Azad University,
Najafabad, IranH. Laeli DastjerdiDepartment of Mathematics, Najafabad Branch, Islamic Azad University,
Najafabad, IranJournal Article20151002In this paper, we propose a new numerical method for solution of Urysohn two dimensional mixed Volterra-Fredholm integral equations of the second kind on a non-rectangular domain. The method approximates the solution by the discrete collocation method based on inverse multiquadric radial basis functions (RBFs) constructed on a set of disordered data. The method is a meshless method, because it is independent of the geometry of the domain and it does not require any background interpolation or approximation cells. The error analysis of the method is provided. Numerical results are presented, which confirm the theoretical prediction of the convergence behavior of the proposed method.http://jlta.iauctb.ac.ir/article_521628_b60549988a75129d851e71138c8c530b.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201040420151201A new Approximation to the solution of the linear matrix equation AXB = C305315522038ENA. SadeghiDepartment of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, IranJournal Article20151022It is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C. Furthermore, the conditions will be explored to check the convergence of the homotopy series. Numerical examples are also adapted to illustrate the properties of the modified method.http://jlta.iauctb.ac.ir/article_522038_4c84e2abfea87f3b1a04b081718f834b.pdf