Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
04
2016
02
01
Classical Wavelet Transforms over Finite Fields
241
257
EN
A.
Ghaani Farashahi
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics,
University of Vienna, Austria
arash.ghaani.farashahi@univie.ac.at
This 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.
Finite field,classical wavelet group,classical wavelet transforms,dilation operators
http://jlta.iauctb.ac.ir/article_519629.html
http://jlta.iauctb.ac.ir/article_519629_367664d14c6c6e9ed672f0eb86741623.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
04
2016
03
02
Duals and approximate duals of g-frames in Hilbert spaces
259
265
EN
M.
Mirzaee Azandaryani
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
morteza_ma62@yahoo.com
A.
Khosravi
Faculty of Mathematical Sciences
and Computer, Kharazmi University, Tehran, Iran
khosravi_amir@yahoo.com
In 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.
Frame,g-frame,duality,approximate duality
http://jlta.iauctb.ac.ir/article_519743.html
http://jlta.iauctb.ac.ir/article_519743_c1a1ab8a975c32f864c271d4d21132b4.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
04
2016
12
22
Generalized superconnectedness
267
273
EN
E.
Bouassida
Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia
basdourimed@yahoo.fr
B.
Ghanmi
Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia
basdourimd@yahoo.fr
R.
Messaoud
Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia
rimessaoud@yahoo.fr
A.
Missaoui
Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia
rimoud@yahoo.fr
A. 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.
Generalized topology,connected,Superconnected
http://jlta.iauctb.ac.ir/article_519888.html
http://jlta.iauctb.ac.ir/article_519888_bf48e0ba05bf08f2f815c3f0683cd60a.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
04
2016
03
02
Quotient Arens regularity of $L^1(G)$
275
281
EN
A.
Zivari-Kazempour
Department of Mathematics, University of Ayatollah Borujerdi, Borujerd, Iran
zivari6526@gmail.com
Let $mathcal{A}$ 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.
Arens product,Quotient Arens regular,Introverted subspace,Weakly almost periodic
http://jlta.iauctb.ac.ir/article_520428.html
http://jlta.iauctb.ac.ir/article_520428_4afeac134e032a7734d87bb8535bcc8d.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
04
2015
03
15
Some results on higher numerical ranges and radii of quaternion matrices
283
288
EN
Gh.
Aghamollaei
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
aghamollaei@uk.ac.ir
N.
Haj Aboutalebi
Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran
nargesaboutalebi@yahoo.ca
Let $n$ 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.
$k-$numerical radius,right $k$-spectral radius,$k$-norm,quaternion matrices
http://jlta.iauctb.ac.ir/article_521627.html
http://jlta.iauctb.ac.ir/article_521627_0cf027f7acaa74c10315e711d0443cc6.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
04
2016
03
14
A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
289
304
EN
M.
Nili Ahmadabadi
Department of Mathematics, Najafabad Branch, Islamic Azad University,
Najafabad, Iran
mneely59@hotmail.com
H.
Laeli Dastjerdi
Department of Mathematics, Najafabad Branch, Islamic Azad University,
Najafabad, Iran
hojatld@gmail.com
In 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.
Mixed Volterra-Fredholm integral equations,collocation method,Radial basis functions,Meshless method,Numerical treatment
http://jlta.iauctb.ac.ir/article_521628.html
http://jlta.iauctb.ac.ir/article_521628_b60549988a75129d851e71138c8c530b.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
04
2015
03
22
A new Approximation to the solution of the linear matrix equation AXB = C
305
315
EN
A.
Sadeghi
Department of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, Iran
drsadeghi.iau@gmail.com
It 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.
Matrix equation,Homotopy perturbation method,Diagonally dominant matrix,Convergence, Iterative method
http://jlta.iauctb.ac.ir/article_522038.html
http://jlta.iauctb.ac.ir/article_522038_4c84e2abfea87f3b1a04b081718f834b.pdf