Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
02
2013
06
01
Commuting $pi$-regular rings
67
70
EN
Sh.
Sahebi
Department of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
M.
Azadi
Department of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
R is called commuting regular ring (resp. semigroup) if for each x,y $in$ R there exists a $in$ R such that xy = yxayx. In this paper, we introduce the concept of commuting $pi$-regular rings (resp. semigroups) and study various properties of them.
Regular,Commuting $\pi$-regular
http://jlta.iauctb.ac.ir/article_510051.html
http://jlta.iauctb.ac.ir/article_510051_7ee88bde781db5864d87b43ff9257b0b.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
02
2013
06
01
On strongly J-clean rings associated with polynomial identity g(x) = 0
71
76
EN
H.
Haj Seyyed Javadi
Department of Mathematics, Shahed University, Tehran, Iran
S.
Jamshidvand
Department of Mathematics, Shahed University, Tehran, Iran
jamshidvand1367@gmail.com
M.
Maleki
Department of Mathematics, Shahed University, Tehran, Iran
In this paper, we introduce the new notion of strongly J-clean rings associated with polynomial identity g(x) = 0, as a generalization of strongly J-clean rings. We denote strongly J-clean rings associated with polynomial identity g(x) = 0 by strongly g(x)-J-clean rings. Next, we investigate some properties of strongly g(x)-J-clean.
strongly g(x)-clean rings,strongly g(x)-J-clean rings,strongly J-clean rings,rings generated by units
http://jlta.iauctb.ac.ir/article_510052.html
http://jlta.iauctb.ac.ir/article_510052_d11cad8b25bc9742b45b25f407279a7d.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
02
2013
06
01
A note on unique solvability of the absolute value equation
77
81
EN
T.
Lotfi
Department of Mathematics, Hamedan Branch, Islamic Azad University,
Hamedan, Iran
H.
Vieseh
Department of Mathematics, Hamedan Branch, Islamic Azad University,
Hamedan, Iran
It is proved that applying sufficient regularity conditions to the interval matrix $[A-|B|,A + |B|]$, we can create a new unique solvability condition for the absolute value equation $Ax + B|x|=b$, since regularity of interval matrices implies unique solvability of their corresponding absolute value equation. This condition is formulated in terms of positive deniteness of a certain point matrix. Special case $B=-I$ is veried too as an application.
Eigenvalue,Generalized eigenvalue,Quadratic eigenvalue,Numerical computation,Iterative method
http://jlta.iauctb.ac.ir/article_510053.html
http://jlta.iauctb.ac.ir/article_510053_9e8e77449fc3ae8d86aa53b9660b2a19.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
02
2013
06
01
On edge detour index polynomials
83
89
EN
Sh.
Safari Sabet
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
M.
Farmani
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
O.
Khormali
Mathematics and Informatics Research Group, ACECR, Tarbiat Modares University,
P. O. Box: 14115-343, Tehran, Iran
A.
Mahmiani
Department of Mathematics, Payame Noor University, 19395-4797,
Tehran, Iran
Z.
Bagheri
Islamic Azad University Branch of Azadshaher, Azadshaher, Iran
The edge detour index polynomials were recently introduced for computing the edge detour indices. In this paper we find relations among edge detour polynomials for the 2-dimensional graph of $TUC_4C_8(S)$ in a Euclidean plane and $TUC4C8(S)$ nanotorus.
Heun equation,Wiener process,Stochastic differential equation,Linear equations system
http://jlta.iauctb.ac.ir/article_510054.html
http://jlta.iauctb.ac.ir/article_510054_51b0bbf91b051396b9b9a7e4ff566afa.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
02
2013
06
01
Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients
91
103
EN
Z.
Kalateh Bojdi
Department of Mathematics, Birjand University, Birjand, Iran
S.
Ahmadi-Asl
Department of Mathematics, Birjand University, Birjand, Iran
A.
Aminataei
Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
In this paper, a new and efficient approach is applied for numerical approximation of the linear differential equations with variable coeffcients based on operational matrices with respect to Hermite polynomials. Explicit formulae which express the Hermite expansion coeffcients for the moments of derivatives of any differentiable function in terms of the original expansion coefficients of the function itself are given in the matrix form. The main importance of this scheme is that using this approach reduces solving the linear differential equations to solve a system of linear algebraic equations, thus greatly simplifying the problem. In addition, two experiments are given to demonstrate the validity and applicability of the method.
Operational matrices,Hermite polynomials,Linear differential equations with variable coefficients
http://jlta.iauctb.ac.ir/article_510055.html
http://jlta.iauctb.ac.ir/article_510055_7694e7a62ce277393219dc3f08d757f0.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
02
2013
06
01
A new approach to solve fuzzy system of linear equations by Homotopy perturbation method
105
115
EN
M.
Paripour
Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran
J.
Saeidian
Faculty of Mathematical Sciences and Computer, Kharazmi University,
50 Taleghani Avenue, Tehran 1561836314, Iran
A.
Sadeghi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Arak, Iran
In this paper, we present an efficient numerical algorithm for solving fuzzy systems of linear equations based on homotopy perturbation method. The method is discussed in detail and illustrated by solving some numerical examples.
Fuzzy number,Fuzzy system of linear equations,Homotopy perturbation method,Auxiliary matrix
http://jlta.iauctb.ac.ir/article_514256.html
http://jlta.iauctb.ac.ir/article_514256_d54426e4ec1b020014ce00c56967a4ca.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
02
2013
06
01
The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases
117
127
EN
M.
Nili Ahmadabadi
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran
nili@phu.iaun.ac.ir
M.
Arab
Department of Mathematics, Yazd University, Yazd, Iran
F. M.
Maalek Ghaini
Department of Mathematics, Yazd University, Yazd, Iran
In this paper, the Method of Fundamental Solutions (MFS) is extended to solve some special cases of the problem of transient heat conduction in functionally graded materials. First, the problem is transformed to a heat equation with constant coefficients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.
Heat conduction,Functionally graded materials,Method of fundamental solutions
http://jlta.iauctb.ac.ir/article_514257.html
http://jlta.iauctb.ac.ir/article_514257_d41d8cd98f00b204e9800998ecf8427e.pdf