Classical Wavelet Transforms over Finite Fields
A.
Ghaani Farashahi
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics,
University of Vienna, Austria
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
04
no.
2016
241
257
http://jlta.iauctb.ac.ir/article_519629_367664d14c6c6e9ed672f0eb86741623.pdf
Duals and approximate duals of g-frames in Hilbert spaces
M.
Mirzaee Azandaryani
Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
author
A.
Khosravi
Faculty of Mathematical Sciences
and Computer, Kharazmi University, Tehran, Iran
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
04
no.
2016
259
265
http://jlta.iauctb.ac.ir/article_519743_c1a1ab8a975c32f864c271d4d21132b4.pdf
Generalized superconnectedness
E.
Bouassida
Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia
author
B.
Ghanmi
Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia
author
R.
Messaoud
Department of Mathematics, Faculty of Sciences of Gafsa, Zarroug 2112, Tunisia
author
A.
Missaoui
Department of Mathematics, Faculty of Sciences of Sfax, BP 802, 3038 Sfax, Tunisia
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
04
no.
2016
267
273
http://jlta.iauctb.ac.ir/article_519888_bf48e0ba05bf08f2f815c3f0683cd60a.pdf
Quotient Arens regularity of $L^1(G)$
A.
Zivari-Kazempour
Department of Mathematics, University of Ayatollah Borujerdi, Borujerd, Iran
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
04
no.
2016
275
281
http://jlta.iauctb.ac.ir/article_520428_4afeac134e032a7734d87bb8535bcc8d.pdf
Some results on higher numerical ranges and radii of quaternion matrices
Gh.
Aghamollaei
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
N.
Haj Aboutalebi
Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran
author
text
article
2015
eng
Let $n$ and $k$ be two positive integers, $k\leq n$ 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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
04
no.
2015
283
288
http://jlta.iauctb.ac.ir/article_521627_0cf027f7acaa74c10315e711d0443cc6.pdf
A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
M.
Nili Ahmadabadi
Department of Mathematics, Najafabad Branch, Islamic Azad University,
Najafabad, Iran
author
H.
Laeli Dastjerdi
Department of Mathematics, Najafabad Branch, Islamic Azad University,
Najafabad, Iran
author
text
article
2016
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
04
no.
2016
289
304
http://jlta.iauctb.ac.ir/article_521628_b60549988a75129d851e71138c8c530b.pdf
A new Approximation to the solution of the linear matrix equation AXB = C
A.
Sadeghi
Department of Mathematics, Robat Karim Branch, Islamic Azad University, Tehran, Iran
author
text
article
2015
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
04
v.
04
no.
2015
305
315
http://jlta.iauctb.ac.ir/article_522038_4c84e2abfea87f3b1a04b081718f834b.pdf