eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
67
70
510051
Commuting $pi$-regular rings
Sh. Sahebi
1
M. Azadi
2
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_510051_7ee88bde781db5864d87b43ff9257b0b.pdf
Regular
Commuting $pi$-regular
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
71
76
510052
On strongly J-clean rings associated with polynomial identity g(x) = 0
H. Haj Seyyed Javadi
1
S. Jamshidvand
jamshidvand1367@gmail.com
2
M. Maleki
3
Department of Mathematics, Shahed University, Tehran, Iran
Department of Mathematics, Shahed University, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_510052_d11cad8b25bc9742b45b25f407279a7d.pdf
strongly g(x)-clean rings
strongly g(x)-J-clean rings
strongly J-clean rings
rings generated by units
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
77
81
510053
A note on unique solvability of the absolute value equation
T. Lotfi
1
H. Vieseh
2
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
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.
http://jlta.iauctb.ac.ir/article_510053_9e8e77449fc3ae8d86aa53b9660b2a19.pdf
Eigenvalue
Generalized eigenvalue
Quadratic eigenvalue
Numerical computation
Iterative method
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
83
89
510054
On edge detour index polynomials
Sh. Safari Sabet
1
M. Farmani
2
O. Khormali
3
A. Mahmiani
4
Z. Bagheri
5
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Mathematics and Informatics Research Group, ACECR, Tarbiat Modares University, P. O. Box: 14115-343, Tehran, Iran
Department of Mathematics, Payame Noor University, 19395-4797, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_510054_51b0bbf91b051396b9b9a7e4ff566afa.pdf
Heun equation
Wiener process
Stochastic differential equation
Linear equations system
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
91
103
510055
Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients
Z. Kalateh Bojdi
1
S. Ahmadi-Asl
2
A. Aminataei
3
Department of Mathematics, Birjand University, Birjand, Iran
Department of Mathematics, Birjand University, Birjand, Iran
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.
http://jlta.iauctb.ac.ir/article_510055_7694e7a62ce277393219dc3f08d757f0.pdf
Operational matrices
Hermite polynomials
Linear differential equations with variable coefficients
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
105
115
514256
A new approach to solve fuzzy system of linear equations by Homotopy perturbation method
M. Paripour
1
J. Saeidian
2
A. Sadeghi
3
Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran
Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Avenue, Tehran 1561836314, Iran
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.
http://jlta.iauctb.ac.ir/article_514256_d54426e4ec1b020014ce00c56967a4ca.pdf
Fuzzy number
Fuzzy system of linear equations
Homotopy perturbation method
Auxiliary matrix
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-06-01
02
02
117
127
514257
The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases
M. Nili Ahmadabadi
nili@phu.iaun.ac.ir
1
M. Arab
2
F. M. Maalek Ghaini
3
Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran
Department of Mathematics, Yazd University, Yazd, Iran
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.
http://jlta.iauctb.ac.ir/article_514257_d41d8cd98f00b204e9800998ecf8427e.pdf
Heat conduction
Functionally graded materials
Method of fundamental solutions