2014
40
2
2
0
Finite iterative methods for solving systems of linear matrix equations over reflexive and antireflexive matrices
2
2
A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$. An $ntimes n$ complex matrix $A$ is said to be a reflexive (antireflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=PAP$). In this paper, we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexive and antireflexive matrices. The convergence of the iterative methods is also proposed. Finally, a numerical example is given to show the efficiency of the presented results.
1

295
323


Mehdi
Dehghan
Prof.
Prof.
Iran
dehghan@aut.ac.ir


Masoud
Hajarian
Department of Mathematics
Faculty of Mathematical Sciences
Shahid Beheshti University, G.C.,
Evin, Tehran 19839
Iran
Department of Mathematics
Faculty of Mathematical
Iran
mhajarian@aut.ac.ir
Matrix equation
Reflexive matrix
Antireflexive matrix
Bilateral composition operators on vectorvalued Hardy spaces
2
2
Let $T$ be a bounded operator on the Banach space $X$ and $ph$ be an analytic selfmap of the unit disk $Bbb{D}$. We investigate some operator theoretic properties of bilateral composition operator $C_{ph, T}: f ri T circ f circ ph$ on the vectorvalued Hardy space $H^p(X)$ for $1 leq p leq +infty$. Compactness and weak compactness of $C_{ph, T}$ on $H^p(X)$ are characterized and when $p=2$, a concrete formula for its adjoint is given.
1

325
337


Hamid
Rezaei
Yasouj University
Yasouj University
Iran
rezaei@mail.yu.ac.ir
vectorvalued Hardy space
composition operator
linear fractional map
weak compactness
Periodically correlated and multivariate symmetric stable processes related to periodic and cyclic flows
2
2
In this work we introduce and study discrete time periodically correlated stable processes and multivariate stationary stable processes related to periodic and cyclic flows. Our study involves producing a spectral representation and a spectral identification for such processes. We show that the third component of a periodically correlated stable process has a component related to a periodiccyclic flow.
1

339
355


Afshin
Parvardeh
Academic Professor
Academic Professor
Iran
a.parvardeh@sci.ui.ac.ir


Sareh
Goliforushani
Academic Professor
Academic Professor
Iran
sareh.goli@gmail.com


Ahmad Reza
Soltani
Academic Professor
Academic Professor
Kuwait
soltani@kuc01.kuniv.edu.kw
multivariate stationary stable processes
flows
periodic and cyclic flows
Improvements of two preconditioned AOR iterative methods for Zmatrices
2
2
In this paper, we propose two preconditioned AOR iterative methods to solve systems of linear equations whose coefficient matrices are Zmatrix. These methods can be considered as improvements of two previously presented ones in the literature. Finally some numerical experiments are given to show the effectiveness of the proposed preconditioners.
1

357
371


Mohsen
Hasani
Islamic Azad University
Islamic Azad University
Iran
hasani.mo@gmail.com


Davod
Khojasteh Salkuyeh
University of Guilan
University of Guilan
Iran
salkuyeh@gmail.com
System of linear equations
preconditioner
AOR iterative method
Zmatrix
Ostrowski type inequalities for functions whose derivatives are preinvex
2
2
In this paper, making use of a new identity, we establish new inequalities of Ostrowski type for the class of preinvex functions and gave some midpoint type inequalities.
1

373
386


Imdat
Işcan
Giresun University
Giresun University
Turkey
imdat.iscan@giresun.edu.tr
Ostrowski type inequalities
preinvex function
condition C
On the decomposable numerical range of operators
2
2
Let $V$ be an $n$dimensional complex inner product space. Suppose $H$ is a subgroup of the symmetric group of degree $m$, and $chi :Hrightarrow mathbb{C} $ is an irreducible character (not necessarily linear). Denote by $V_{chi}(H)$ the symmetry class of tensors associated with $H$ and $chi$. Let $K(T)in
(V_{chi}(H))$ be the operator induced by $Tin
text{End}(V)$. The decomposable numerical range $W_{chi}(T)$ of
$T$ is a subset of the classical numerical range $W(K(T))$ of $K(T)$ defined as:$$
W_{chi}(T)={(K(T)x^{ast }, x^{ast}):x^{ast } is a decomposable unit tensor}.$$
In this paper, we study the interplay between the geometric properties of $W_{chi}(T)$ and the algebraic properties of $T$. In fact, we extend some of the results of [C. K. Li and A. Zaharia, Decomposable numerical range on orthonormal decomposable tensors, Linear Algebra Appl. 308 (2000), no, 13, 139152] and [C. K. Li and A. Zaharia, Induced operators on symmetry classes of tensors, Trans. Amer. Math. Soc. 354 (2002), no. 2, 807836], to nonlinear irreducible characters.
1

387
398


Yousef
Zamani
Sahand University of Technology
Sahand University of Technology
Iran
zamani@sut.ac.ir


Sima
Ahsani
Sahand University of Technology
Sahand University of Technology
Iran
sahsani@sut.ac.ir
symmetry class of tensors
decomposable numerical range
induced operator
WZ factorization via AbayBroydenSpedicato algorithms
2
2
Classes of AbaffyBroydenSpedicato (ABS) methods have been introduced for solving linear systems of equations. The algorithms are powerful methods for developing matrix factorizations and many fundamental numerical linear algebra processes. Here, we show how to apply the ABS algorithms to devise algorithms to compute the WZ and ZW factorizations of a nonsingular matrix as well as the $W^TW$ and $Z^TZ$ factorizations of a symmetric positives definite matrix. We also describe the QZ and the QW factorizations, with Q orthogonal, and show how to appropriate the parameters of the ABS algorithms to compute these factorizations.
1

399
411


Effat
GolparRaboky
University of Qom
University of Qom
Iran
g_raboky@yahoo.com


N.
MahdaviAmiri
Sharif University of Technology
Sharif University of Technology
Iran
nezamm@sharif.edu
ABS algorithms
WZ factorization
ZW factorizatio
WTW factorization
ZTZ factorization
QZ factoriation
QW factorization
A graphical difference between the inverse and regular semigroups
2
2
In this paper we investigate the Green graphs for the regular and inverse semigroups by considering the Green classes of them. And by using the properties of these semigroups, we prove that all of the five Green graphs for the inverse semigroups are isomorphic complete graphs, while this doesn't hold for the regular semigroups. In other words, we prove that in a regular semigroup $S$ two Green graph $Gamma_{mathcal{L}}(S)$ and $Gamma_{mathcal{H}}(S)$ are isomorphic, however, the other three Green graphs are nonisomorphic to them.
1

413
421


Ayoub
Gharibkhajeh
Islamic Azad university NorthTehran Branch
Islamic Azad university NorthTehran Branch
Iran
a_gharib@iautnb.ac.ir


Hossein
Doostie
Science and Research, Islamic Azad University Tehran Iran
Science and Research, Islamic Azad University
Iran
doostih@tmu.ac.ir
Regular and inverse semigroup
Green relations
Green graphs
Gorenstein global dimensions for Hopf algebra actions
2
2
Let $H$ be a Hopf algebra and $A$ an $H$bimodule algebra. In this paper, we investigate Gorenstein global dimensions for Hopf algebras and twisted smash product algebras $Astar H$. Results from the literature are generalized.
1

423
431


Qunxing
Pan
Department of Mathematics, Nanjing Agricultural University
Department of Mathematics, Nanjing Agricultural
China (P. R. C.)
pqxjs98@njau.edu.cn


Faqun
Cai
Department of Economic Management, Nanjing College of Chemical Technology
Department of Economic Management, Nanjing
China (P. R. C.)
cfq1217@163.com
Hopf algebras
Gorenstein global dimensions
Morita equivalence
twisted smash products
$(m,n)$algebraically compactness and $(m,n)$pure injectivity
2
2
In this paper, we introduce the notion of $(m,n)$algebraically compact modules as an analogue of algebraically compact modules and then we show that $(m,n)$algebraically compactness and $(m,n)$pure injectivity for modules coincide. Moreover, further characterizations of a $(m,n)$pure injective module over a commutative ring are given.
1

433
445


Mahmood
Behboodi
Isfahan University of Technology
Isfahan University of Technology
Iran
mbehbood@cc.iut.ac.ir


Atefeh
Ghorbani
Isfahan University of Technology
Isfahan University of Technology
Iran
a_ghorbani@cc.iut.ac.ir


Seyed Hossein
Shojaee
Isfahan university of technology
Isfahan university of technology
Iran
hshojaee@math.iut.ac.ir
(n
m)pure exact
m)pure injective
m)algebraically compact
pure injective
algebraically compact
A Stochastic algorithm to solve multiple dimensional Fredholm integral equations of the second kind
2
2
In the present work, a new stochastic algorithm is proposed to solve multiple dimensional Fredholm integral equations of the second kind. The solution of the integral equation is described by the Neumann series expansion. Each term of this expansion can be considered as an expectation which is approximated by a continuous Markov chain Monte Carlo method. An algorithm is proposed to simulate a continuous Markov chain with probability density function arisen from an importance sampling technique. Theoretical results are established in a normed space to justify the convergence of the proposed method. The method has a simple structure and it is a good candidate for parallelization because of the fact that many independent sample paths are used to estimate the solution. Numerical results are performed in order to confirm the efficiency and accuracy of the present work.
1

447
458


Rahman
Farnoosh
School of Mathematics, Iran University of Science and Technology.
School of Mathematics, Iran University of
Iran
rfarnoosh@iust.ac.ir


Mahboubeh
Aalaei
School of Mathematics, Iran University of Science and Technology.
School of Mathematics, Iran University of
Iran
aalaei@iust.ac.ir
Fredholm integral equations
Monte Carlo method
Continuous Markov chain
Neumann series expansion
Importance sampling
On $I$statistical and $I$lacunary statistical convergence of order $alpha$
2
2
In this paper, following a very recent and new approach, we further generalize recently introduced summability methods, namely, $I$statistical convergence and $I$lacunary statistical convergence (which extend the important summability methods, statistical convergence and lacunary statistical convergence using ideals of $mathbb{N}$) and introduce the notions of $I$statistical convergence of order $alpha$ and $I$lacunary statistical convergence of order $alpha$, where $0<alpha< 1$. We mainly investigate their relationship and also make some observations about these classes and in the way try to give an answer to an open problem posed By Das, Savas and Ghosal in 2011. The study leaves a lot of interesting open problems.
1

459
472


Pratulananda
Das
Jadavpour University
Jadavpour University
India
pratulananda@yahoo.co.in


Ekrem
Savas
Istanbul Commerce University
Istanbul Commerce University
Turkey
ekremsavas@yahoo.com
Istatistical convergence
Ilacunary statistical convergence
statistical convergence of order $alpha$
A characterization of the symmetric group of prime degree
2
2
Let $G$ be a finite group and $Gamma(G)$ the prime graph of $G$. Recently people have been using prime graphs to study simple groups. Naturally we pose a question: can we use prime graphs to study almost simple groups or nonsimple groups? In this paper some results in this respect are obtained and as follows: $Gcong S_p$ if and only if $G=S_p$ and $Gamma(G)=Gamma(S_p)$, where $p$ is a prime.
1

473
480


Qingliang
Zhang
School of Sciences, Nantong University, 226007, Nantong, P. R. China
School of Sciences, Nantong University, 226007,
China (P. R. C.)
qingliangstudent@163.com


Jinhua
Wang
School of Sciences, Nantong University, 226007, Nantong, P. R. China
School of Sciences, Nantong University, 226007,
China (P. R. C.)
jhwang@ntu.edu.cn


Weijun
Liu
School of Sciences, Nantong University, 226007, Nantong, P. R. China
School of Sciences, Nantong University, 226007,
China (P. R. C.)
wjliu6210@126.com
characterization
symmetric group
Prime graph
Approximating fixed points of nonexpansive mappings and solving systems of variational inequalities
2
2
A new approximation method for the set of common fixed points of nonexpansive mappings and the set of solutions of systems of variational inequalities is introduced and studied. Moreover, we apply our main result to obtain strong convergence theorem to a common fixed point of a nonexpannsive mapping and solutions of a system of variational inequalities of an inverse strongly monotone mapping and strictly pseudocontractive mapping of BrowderPetryshyn type.
1

481
504


Hossein
Piri
Department of Mathematics,
University of Bonab, Bonab 5551761167, Iran
Department of Mathematics,
University of
Iran
hossein_piri1979@yahoo.com
fixed point
$delta$ strongly monotone
$lambda$ strictly pseudocontractive
Arens regularity of bilinear forms and unital Banach module spaces
2
2
Assume that $A$, $B$ are Banach algebras and that $m:Atimes Brightarrow B$, $m^prime:Atimes Arightarrow B$ are bounded bilinear mappings. We study the relationships between Arens regularity of $m$, $m^prime$ and the Banach algebras $A$, $B$. For a Banach $A$bimodule $B$, we show that $B$ factors with respect to $A$ if and only if $B^{**}$ is unital as an $A^{**}$module. Let $Z_{e^{primeprime}}(B^{**})=B^{**}$ where $e^{primeprime}$ is a mixed unit of $A^{**}$. Then $B^*$ factors on both sides with respect to $A$ if and only if $B^{**}$ has a unit as $A^{**}$module.
1

505
520


kazem
Haghnejad Azar
Faculty member of Mohghegh Ardabili Universsity
Faculty member of Mohghegh Ardabili Universsity
Iran
haghnejadmath@yahoo.com
Arens regularity
bilinear mappings
Topological center
Unital Amodule
Module action
Weak BanachSaks property in the space of compact operators
2
2
For suitable Banach spaces $X$ and $Y$ with Schauder decompositions and a suitable closed subspace $mathcal{M}$ of some compact operator space from $X$ to $Y$, it is shown that the strong BanachSaksness of all evaluation operators on ${mathcal M}$ is a sufficient condition for the weak BanachSaks property of ${mathcal M}$, where for each $xin X$ and $y^*in Y^*$, the evaluation operators on $mathcal{M}$ are defined by $phi_x(T)= Tx$ and $psi_{y^*}(T)= T^*y^*.$
1

521
530


B. Khadijeh
Moosavi
Islamic Azad University, Bafgh Branch
Islamic Azad University, Bafgh Branch
Iran
khmosavi@gmail.com


S. Mohammad
Moshtaghioun
Yazd University
Yazd University
Iran
moshtagh90@gmail.com
weak BanachSaks property
P property
Schauder decomposition
compact operator
completely continuous operator
On generalisations of almost prime and weakly prime ideals
2
2
Let $R$ be a commutative ring with identity. A proper ideal $P$ of $R$ is a<n> $(n1,n)$$Phi_m$prime ($(n1,n)$weakly prime) ideal if $a_1,ldots,a_nin R$, $a_1cdots a_nin Pbackslash P^m$ ($a_1cdots a_nin Pbackslash {0}$) implies $a_1cdots a_{i1}a_{i+1}cdots a_nin P$, for some $iin{1,ldots,n}$; ($m,ngeq 2$). In this paper several results concerning $(n1,n)$$Phi_m$prime and $(n1,n)$weakly prime ideals are proved. We show that in a Noetherian domain a $Phi_m$prime ideal is primary and we show that in some well known rings $(n1,n)$$Phi_m$prime ideals and $(n1,n)$prime ideals coincide.
1

531
540


Mahdieh
Ebrahimpour
University of ValieAsr
University of ValieAsr
Iran
mahdieh_ebrahimpour@yahoo.com
Quasilocal ring
prime ideal
almost prime ideal
$(n1
n)$weakly prime ideal
n)$$Phi_m$prime ideal