2014
40
1
1
0
A lower estimate of harmonic functions
2
2
We shall give a lower estimate of harmonic functions of order greater than one in a half space, which generalize the result obtained by B. Ya. Levin in a half plane.
1

1
7


Guoshuang
Pan
Beijing National Day School
Beijing National Day School
China (P. R. C.)
gsp1979@163.com


Lei
Qiao
Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, People's Republic of China
Department of Mathematics and Information
China (P. R. C.)
qiaocqu@163.com


Guantie
Deng
School of Mathematical
Science, Beijing Normal University, Beijing, People's Republic of China.
School of Mathematical
Science, Beijing
China (P. R. C.)
denggt@bnu.edu.cn
Lower estimate
Harmonic function
Half space
Investigation on the Hermitian matrix expression subject to some consistent equations
2
2
In this paper, we study the extremal ranks and inertias of the Hermitian matrix expression $$ f(X,Y)=C_{4}B_{4}Y(B_{4}Y)^{*}A_{4}XA_{4}^{*},$$ where $C_{4}$ is Hermitian, $*$ denotes the conjugate transpose, $X$ and $Y$ satisfy the following consistent system of matrix equations $A_{3}Y=C_{3}, A_{1}X=C_{1},XB_{1}=D_{1},A_{2}XA_{2}^{*}=C_{2},X=X^{*}.$ As consequences, we get the necessary and sufficient conditions for the above expression $f(X,Y)$ to be (semi) positive, (semi) negative. The relations between the Hermitian part of the solution to the matrix equation $A_{3}Y=C_{3}$ and the Hermitian solution to the system of matrix equations $A_{1}X=C_{1},XB_{1}=D_{1},A_{2}XA_{2}^{*}=C_{2}$ are also characterized. Moreover, we give the necessary and sufficient conditions for the solvability to the following system of matrix equations $A_{3}Y=C_{3},A_{1}X=C_{1},XB_{1}=D_{1}, A_{2}XA_{2}^{*}=C_{2},X=X^{*}, B_{4}Y+(B_{4}Y)^{*}+A_{4}XA_{4}^{*}=C_{4} $ and provide an expression of the general solution to this system when it is solvable.
1

9
28


Xiang
Zhang
Department of Mathematics, Zunyi Normal College Shanghai Road, Zunyi
563000, P.R. China
Department of Mathematics, Zunyi Normal College
China (P. R. C.)
zxjnsc@163.com
Linear matrix equation
MoorePenrose inverse
rank
Inertia
Coupled fixed point results for weakly related mappings in partially ordered metric spaces
2
2
In the present paper, we show the existence of a coupled fixed point for a nondecreasing mapping in partially ordered complete metric space using a partial order induced by an appropriate function $phi$. We also define the concept of weakly related mappings on an ordered space. Moreover common coupled fixed points for two and three weakly related mappings are also proved in the same space.
1

29
40


Naval
Singh
govt. benazir college, bhopal
govt. benazir college, bhopal
India
drsinghnaval@gmail.com


Reena
Jain
Technocrats Institute of technology
Technocrats Institute of technology
India
reenakhatod@gmail.com
Coupled fixed point
common coupled fixed point
partially ordered space
weakly related mappings
A matrix LSQR algorithm for solving constrained linear operator equations
2
2
In this work, an iterative method based on a matrix form of LSQR algorithm is constructed for solving the linear operator equation $mathcal{A}(X)=B$ and the minimum Frobenius norm residual problem $mathcal{A}(X)B_F$ where $Xin mathcal{S}:={Xin textsf{R}^{ntimes n}~~X=mathcal{G}(X)}$, $mathcal{F}$ is the linear operator from $textsf{R}^{ntimes n}$ onto $textsf{R}^{rtimes s}$, $mathcal{G}$ is a linear selfconjugate involution operator and $Bin textsf{R}^{rtimes s}$. Numerical examples are given to verify the efficiency of the constructed method.
1

41
53


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
Iterative method
Bidiagonalization procedure
Linear operator equation
Maximal prehomogeneous subspaces on classical groups
2
2
Suppose $G$ is a split connected reductive orthogonal or symplectic group over an infinite field $F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is the Lie algebra of the unipotent radical $N.$ Under the adjoint action of its stabilizer in $M,$ every maximal prehomogeneous subspaces of $frak{n}$ is determined.
1

55
81


Xiaoxiang
Yu
Xuzhou Normal University,
P.R.China
Xuzhou Normal University,
P.R.China
China, R. O. C.
carston123@126.com


Dengyin
Wang
China University of Mining and technology
China University of Mining and technology
China (P. R. C.)
wdengyin@126.com
prehomogeneous space
adjoint action
orthogonal
symplectic
orbit
Sequential second derivative general linear methods for stiff systems
2
2
Second derivative general linear methods (SGLMs) as an extension of general linear methods (GLMs) have been introduced to improve the stability and accuracy properties of GLMs. The coefficients of SGLMs are given by six matrices, instead of four matrices for GLMs, which are obtained by solving nonlinear systems of order and usually RungeKutta stability conditions. In this paper, we introduce a technique for construction of an special case of SGLMs which decreases the complexity of finding coefficients matrices.
1

83
100


Ali
Ezzeddine
University of Tabriz
University of Tabriz
Iran
aliezz@tabrizu.ac.ir


Gholamreza
Hojjati
University of Tabriz
University of Tabriz
Iran
ghojjati@yahoo.com


Ali
Abdi
University of Tabriz
University of Tabriz
Iran
a_abdi@tabrizu.ac.ir
General linear methods
Twoderivative methods
ordinary differential equation
Order conditions
A and Lstability
On the numerical solution of generalized Sylvester matrix equations
2
2
The global FOM and GMRES algorithms are among the effective methods to solve Sylvester matrix equations. In this paper, we study these algorithms in the case that the coefficient matrices are real symmetric (real symmetric positive definite) and extract two CGtype algorithms for solving generalized Sylvester matrix equations. The proposed methods are iterative projection methods onto matrix Krylov subspaces. Numerical examples are presented.
1

101
113


Amer
Kaabi
iran
iran
Iran
kaabi_amer@kmsu.ac.ir
Generalized Sylvester matrix equations
Matrix Krylove subspace
Global gmres algorithm
An extension theorem for finite positive measures on surfaces of finite dimensional unit balls in Hilbert spaces
2
2
A consistency criteria is given for a certain class of finite positive measures on the surfaces of the finite dimensional unit balls in a real separable Hilbert space. It is proved, through a Kolmogorov type existence theorem, that the class induces a unique positive measure on the surface of the unit ball in the Hilbert space. As an application, this will naturally accomplish the work of Kanter (1973) on the existence and uniqueness of the spectral measures of finite dimensional stable random vectors to the infinite dimensional ones. The approach presented here is direct and different from the functional analysis approach in Kuelbs (1973), Linde (1983) and the indirect approach of Tortrat (1976) and Dettweiler (1976).
1

115
124


Ahmad Reza
Soltani
Kuwait University and Shiraz University
Kuwait University and Shiraz University
Iran
soltani@kuc01.kuniv.edu.kw


Safieh
Mahmoodi
Isfahan University of Technology
Isfahan University of Technology
Iran
mahmoodi@cc.iut.ac.ir
Extension Theorem
Separable Hilbert space
Finite Measures on Surfaces of the Unit Balls
Stable distribution
Spectral measure
Embedding measure spaces
2
2
For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable. The construction is modeled on the ultrafilter construction of the Stonev{C}ech compactification of a completely regular topological space. Under certain conditions the construction simplifies. Examples are given when this simplification occurs.
1

125
155


M.R.
Koushesh
Isfahan University of Technology
Isfahan University of Technology
Iran
koushesh@cc.iut.ac.ir
Ultrafilter
thick subset
set of full outer measure
topological measure space
Baire measure
Stonev{C}ech compactification
realcompactification
A class of Artinian local rings of homogeneous type
2
2
Let $I$ be an ideal in a regular local ring $(R,n)$, we will find bounds on the first and the last Betti numbers of $(A,m)=(R/I,n/I)$. if $A$ is an Artinian ring of the embedding codimension $h$, $I$ has the initial degree $t$ and $mu(m^t)=1$, we call $A$ a {it $t$extended stretched local ring}. This class of local rings is a natural generalization of the class of stretched local rings studied by Sally, Elias and Valla. For a $t$extended stretched local ring, we show that ${h+t2choose t1}h+1leq tau(A)leq {h+t2choose t1}$ and $ {h+t1choose t}1 leq mu(I) leq {h+t1choose t}$. Moreover $tau(A)$ reaches the upper bound if and only if $mu(I)$ is the maximum value. Using these results, we show when $beta_i(A)=beta_i(gr_m(A))$ for each $igeq 0$. Beside, we will investigate the rigid behavior of the Betti numbers of $A$ in the case that $I$ has initial degree $t$ and $mu(m^t)=2$. This class is a natural generalization of {it almost stretched local rings} again studied by Elias and Valla. Our research extends several results of two papers by Rossi, Elias and Valla.
1

157
181


Leila
Sharifan
Hakim Sabzevari University, Sabzevar, Iran
Hakim Sabzevari University, Sabzevar, Iran
Iran
leilasharifan@gmail.com
artinian rings
Hilbert function
number of generators
CohenMacaulay type
Stochastic bounds for a single server queue with general retrial times
2
2
We propose to use a mathematical method based on stochastic comparisons of Markov chains in order to derive performance indice bounds. The main goal of this paper is to investigate various monotonicity properties of a single server retrial queue with firstcomefirstserved (FCFS) orbit and general retrial times using the stochastic ordering techniques.
1

183
198


Mohamed
Boualem
University of Bejaia
University of Bejaia
Algeria
robertt15dz@yahoo.fr


Natalia
Djellab
University of Annaba
University of Annaba
Algeria
djellab@yahoo.fr


Djamil
Aïssani
University of béjaia
University of béjaia
Algeria
lamos_bejaia@hotmail.com
Retrial queues
Markov chain
stochastic bounds
Monotonicity
ageing distributions
Existence and uniqueness of common coupled fixed point results via auxiliary functions
2
2
The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed $g$monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several wellknown results in the literature.
1

199
215


Sumit
Chandok
Khalsa College of Engineering & Technology (Punjab Technical University)
Khalsa College of Engineering & Technology
India
chandhok.sumit@gmail.com


Erdal
Karapinar
ATILIM UNIVERSITY
ATILIM UNIVERSITY
Turkey
erdalkarapinar@yahoo.com


Mohammad Saeed
Khan
Sultan Qaboos University
Sultan Qaboos University
Not listed here
mohammad@squ.edu.om
Coupled coincidence point
ordered sets
Coupled fixed point
mixed monotone property
Relative volume comparison theorems in Finsler geometry and their applications
2
2
We establish some relative volume comparison theorems for extremal volume forms of Finsler manifolds under suitable curvature bounds. As their applications, we obtain some results on curvature and topology of Finsler manifolds. Our results remove the usual assumption on Scurvature that is needed in the literature.
1

217
234


Bing Ye
Wu
Department of Mathematics
Minjiang University
Department of Mathematics
Minjiang University
China, R. O. C.
569405943@qq.com
extreme volume form
Finsler manifold
Gromov precompactness
first Betti number
fundamental group
An eigenvalue study on the sufficient descent property of a modified PolakRibièrePolyak conjugate gradient method
2
2
Based on an eigenvalue analysis, a new proof for the sufficient descent property of the modified PolakRibièrePolyak conjugate gradient method proposed by Yu et al. is presented.
1

235
242


Saman
BabaieKafaki
Semnan University
Semnan University
Iran
sbk@semnan.ac.ir
unconstrained optimization
Conjugate gradient algorithm
Sufficient descent condition
Eigenvalue
Various kinds of regular injectivity for $S$posets
2
2
In this paper some properties of weak regular injectivity for $S$posets, where $S$ is a pomonoid, are studied. The behaviour of different kinds of weak regular injectivity with products, coproducts and direct sums is considered. Also, some characterizations of pomonoids over which all $S$posets are of some kind of weakly regular injective are obtained. Further, we give some Baer conditions which state the relation among some kinds of weak regular injectivity.
1

243
261


Leila
Shahbaz
University of Maragheh
University of Maragheh
Iran
leilashahbaz@yahoo.com


Mojgan
Mahmoudi
Shahid Beheshti University
Shahid Beheshti University
Iran
mojganmahmoudi@yahoo.com
$S$poset
regular injective
weakly regular injective
Implicit iteration approximation for a finite family of asymptotically quasipseudocontractive type mappings
2
2
In this paper, strong convergence theorems of Ishikawa type implicit iteration process with errors for a finite family of asymptotically nonexpansive in the intermediate sense and asymptotically quasipseudocontractive type mappings in normed linear spaces are established by using a new analytical method, which essentially improve and extend some recent results obtained by Yang [Convergence theorems of implicit iteration process for asymptotically pseudocontractive mappings, Bulletin of the Iranian Mathematical Society, Available Online from 12 April 2011] and others.
1

263
279


Shuyi
Zhang
Department of Mathematics, BoHai University
Department of Mathematics, BoHai University
China (P. R. C.)
jzzhangshuyi@126.com
Normed linear spaces
implicit iteration process
asymptotically quasipseudocontractive type mappings
nonexpansive mappings
On the norm of the derived subgroups of all subgroups of a finite group
2
2
In this paper, we give a complete proof of Theorem 4.1(ii) and a new elementary proof of Theorem 4.1(i) in [Li and Shen, On the intersection of the normalizers of the derived subgroups of all subgroups of a finite group, J. Algebra, 323 (2010) 13491357]. In addition, we also give a generalization of Baer's Theorem.
1

281
291


Zhencai
Shen
LMAM and School of Mathematical Sciences, Peking
University,
Beijing, 100871, China.
LMAM and School of Mathematical Sciences,
China (P. R. C.)
zhencai688@sina.com


Shirong
Li
Guangxi University
Guangxi University
China (P. R. C.)
shirong@sina.com


Wujie
Shi
Chongqing University of Arts and Sciences
Chongqing University of Arts and Sciences
China (P. R. C.)
shiwujie@outlook.com
Derived subgroup
solvable group
nilpotency class
Fitting length