eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
04
241
257
519629
Classical Wavelet Transforms over Finite Fields
A. Ghaani Farashahi
arash.ghaani.farashahi@univie.ac.at
1
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Austria
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.
http://jlta.iauctb.ac.ir/article_519629_367664d14c6c6e9ed672f0eb86741623.pdf
Finite field
classical wavelet group
classical wavelet transforms
dilation operators
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
04
259
265
519743
Duals and approximate duals of g-frames in Hilbert spaces
M. Mirzaee Azandaryani
morteza_ma62@yahoo.com
1
A. Khosravi
khosravi_amir@yahoo.com
2
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_519743_c1a1ab8a975c32f864c271d4d21132b4.pdf
Frame
g-frame
duality
approximate duality
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
04
267
273
519888
Generalized superconnectedness
E. Bouassida
basdourimed@yahoo.fr
1
B. Ghanmi
basdourimd@yahoo.fr
2
R. Messaoud
rimessaoud@yahoo.fr
3
A. Missaoui
rimoud@yahoo.fr
4
Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia
Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia
Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia
Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia
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.
http://jlta.iauctb.ac.ir/article_519888_bf48e0ba05bf08f2f815c3f0683cd60a.pdf
Generalized topology
connected
Superconnected
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
04
275
281
520428
Quotient Arens regularity of $L^1(G)$
A. Zivari-Kazempour
zivari6526@gmail.com
1
Department of Mathematics, University of Ayatollah Borujerdi, Borujerd, Iran
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.
http://jlta.iauctb.ac.ir/article_520428_4afeac134e032a7734d87bb8535bcc8d.pdf
Arens product
Quotient Arens regular
Introverted subspace
Weakly almost periodic
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
04
283
288
521627
Some results on higher numerical ranges and radii of quaternion matrices
Gh. Aghamollaei
aghamollaei@uk.ac.ir
1
N. Haj Aboutalebi
nargesaboutalebi@yahoo.ca
2
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran
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.
http://jlta.iauctb.ac.ir/article_521627_0cf027f7acaa74c10315e711d0443cc6.pdf
$k-$numerical radius
right $k$-spectral radius
$k$-norm
quaternion matrices
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
04
289
304
521628
A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
M. Nili Ahmadabadi
mneely59@hotmail.com
1
H. Laeli Dastjerdi
hojatld@gmail.com
2
Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran
Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran
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.
http://jlta.iauctb.ac.ir/article_521628_b60549988a75129d851e71138c8c530b.pdf
Mixed Volterra-Fredholm integral equations
collocation method
Radial basis functions
Meshless method
Numerical treatment
eng
Central Tehran Branch, Islamic Azad University
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-12-01
04
04
305
315
522038
A new Approximation to the solution of the linear matrix equation AXB = C
A. Sadeghi
drsadeghi.iau@gmail.com
1
Department of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_522038_4c84e2abfea87f3b1a04b081718f834b.pdf
Matrix equation
Homotopy perturbation method
Diagonally dominant matrix
Convergence, Iterative method