2018-02-19T08:08:55Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=110023
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2012
01
02
Weak amenability of (2N)-th dual of a Banach algebra
M.
Ettefagh
S.
Houdfar
In this paper by using some conditions, we show that the weak amenability of (2n)-th dual of a Banach algebra A for some $ngeq 1$ implies the weak amenability of A.
Banach algebra
Arens porducts
Arens regularity
derivation
weak amenability
2012
06
01
55
65
http://jlta.iauctb.ac.ir/article_510112_4481b97ff2be6b5aec88a2d5db69c502.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2012
01
02
A note on uniquely (nil) clean ring
Sh.
Sahebi
M.
Jahandar
A ring R is uniquely (nil) clean in case for any $a in R$ there exists a uniquely idempotent $ein R$ such that $a-e$ is invertible (nilpotent). Let $C =(A V W B)$ be the Morita Context ring. We determine conditions under which the rings $A,B$ are uniquely (nil) clean. Moreover we show that the center of a uniquely (nil) clean ring is uniquely (nil) clean.
Full element
uniquely clean ring
nil clean ring
2012
06
01
67
69
http://jlta.iauctb.ac.ir/article_510113_61313dd0e6f0354fd7ec465bb79fa807.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2012
01
02
A mathematically simple method based on denition for computing eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices
M.
Nili Ahmadabadi
In this paper, a fundamentally new method, based on the denition, is introduced for numerical computation of eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices. Some examples are provided to show the accuracy and reliability of the proposed method. It is shown that the proposed method gives other sequences than that of existing methods but they still are convergent to the desired eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices. These examples show an interesting phenomenon in the procedure: The diagonal matrix that converges to eigenvalues gives them in decreasing order in the sense of absolute value. Appendices A to C provide Matlab codes that implement the proposed algorithms. They show that the proposed algorithms are very easy to program.
Eigenvalue
Generalized eigenvalue
Quadratic eigenvalue
Numerical computation
Iterative method
2012
06
01
71
81
http://jlta.iauctb.ac.ir/article_510114_08524c96a88f2b589b9b2c9a46824457.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2012
01
02
Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation
H. R.
Rezazadeh
M.
Maghasedi
B.
shojaee
In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreover, its asymptotic stability and statistical concepts like expectation and variance of solutions are discussed. Finally, the attained solutions of these S.D.E.s compared with exact solution of corresponding differential equations.
Heun equation
Wiener process
Stochastic differential equation
Linear equations system
2012
06
01
83
95
http://jlta.iauctb.ac.ir/article_510120_6b263c706914ad1317cfc87ee2468b82.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2012
01
02
A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems
M.
Amirfakhrian
F.
Mohammad
In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.
Eigenvalue problem
inexact inverse iteration
subspace iteration
inner-outer iteration
approximation
Convergence
2012
06
01
97
113
http://jlta.iauctb.ac.ir/article_510116_a6a495230d02a7daa80f2a110513ba3b.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2012
01
02
Module-Amenability on Module Extension Banach Algebras
D.
Ebrahimi bagha
Let $A$ be a Banach algebra and $E$ be a Banach $A$-bimodule then $S = A oplus E$, the $l^1$-direct sum of $A$ and $E$ becomes a module extension Banach algebra when equipped with the algebras product $(a,x).(a^prime,x^prime)= (aa^prime, a.x^prime+ x.a^prime)$. In this paper, we investigate $triangle$-amenability for these Banach algebras and we show that for discrete inverse semigroup $S$ with the set of idempotents $E_S$, the module extension Banach algebra $S=l^1(E_S)oplus l^1(S)$ is $triangle$-amenable as a $l^1(E_S)$-module if and only if $l^1(E_S)$ is amenable as Banach algebra.
Module-amenability
module extension
Banach algebras
2012
06
01
111
114
http://jlta.iauctb.ac.ir/article_510118_44c07398e7938ba779119a240cd4cf23.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2012
01
02
E-Clean Matrices and Unit-Regular Matrices
Sh. A.
Safari Sabet
S.
Razaghi
Let $a, b, k,in K$ and $u, v in U(K)$. We show for any idempotent $ein K$, $(a 0|b 0)$ is e-clean iff $(a 0|u(vb + ka) 0)$ is e-clean and if $(a 0|b 0)$ is 0-clean, $(ua 0|u(vb + ka) 0)$ is too.
Matrix ring
unimodular column
unit-regular
clean
e-clean
2012
06
01
115
118
http://jlta.iauctb.ac.ir/article_510119_5c774e30071a0b38ec4b186ffdb5d653.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2012
01
02
Recognition of the group $G_2(5)$ by the prime graph
P.
Nosratpour
M. R.
Darafsheh
Let $G$ be a finite group. The prime graph of $G$ is a graph $Gamma(G)$ with vertex set $pi(G)$, the set of all prime divisors of $|G|$, and two distinct vertices $p$ and $q$ are adjacent by an edge if $G$ has an element of order $pq$. In this paper we prove that if $Gamma(G)=Gamma(G_2(5))$, then $G$ has a normal subgroup $N$ such that $pi(N)subseteq{2,3,5}$ and $G/Nequiv G_2(5)$.
prime graph
recognition
linear group
2012
06
01
115
120
http://jlta.iauctb.ac.ir/article_510117_39d0770b34588d7c09328c4a5e5401be.pdf