2017-11-21T16:21:31Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=112485
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
04
Classical Wavelet Transforms over Finite Fields
A.
Ghaani Farashahi
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
2016
02
01
241
257
http://jlta.iauctb.ac.ir/article_519629_367664d14c6c6e9ed672f0eb86741623.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
04
Duals and approximate duals of g-frames in Hilbert spaces
M.
Mirzaee Azandaryani
A.
Khosravi
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
2016
03
02
259
265
http://jlta.iauctb.ac.ir/article_519743_c1a1ab8a975c32f864c271d4d21132b4.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
04
Generalized superconnectedness
E.
Bouassida
B.
Ghanmi
R.
Messaoud
A.
Missaoui
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
2016
12
22
267
273
http://jlta.iauctb.ac.ir/article_519888_bf48e0ba05bf08f2f815c3f0683cd60a.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
04
Quotient Arens regularity of $L^1(G)$
A.
Zivari-Kazempour
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
2016
03
02
275
281
http://jlta.iauctb.ac.ir/article_520428_4afeac134e032a7734d87bb8535bcc8d.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
04
Some results on higher numerical ranges and radii of quaternion matrices
Gh.
Aghamollaei
N.
Haj Aboutalebi
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
2015
03
15
283
288
http://jlta.iauctb.ac.ir/article_521627_0cf027f7acaa74c10315e711d0443cc6.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
04
A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
M.
Nili Ahmadabadi
H.
Laeli Dastjerdi
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
2016
03
14
289
304
http://jlta.iauctb.ac.ir/article_521628_b60549988a75129d851e71138c8c530b.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2015
04
04
A new Approximation to the solution of the linear matrix equation AXB = C
A.
Sadeghi
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
2015
03
22
305
315
http://jlta.iauctb.ac.ir/article_522038_4c84e2abfea87f3b1a04b081718f834b.pdf