2021
9
2
0
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Advances in induced optimal partition invariancy analysis in uniparametric linear optimization
https://jmm.guilan.ac.ir/article_4667.html
10.22124/jmm.2021.4667
1
In this study, we consider a family of uniparametric linear optimization problems that the objective function, the right, and the left hand side of constraints are linearly perturbed with an identical parameter. We are interested in studying the effect of this variation on a given optimal solution and the behavior of the optimal value function on its domain. This problem has several applications, such as in linear time dynamical systems. A prototype example is provided in dynamical systems as a justification for the practicality of the study results. Based on the concept of induced optimal partition, we identify the intervals for the parameter value where optimal induced partitions are invariant. We show that the optimal value function is piecewise fractional continuous in the interior of its domain, while it is not necessarily to be continuous at the endpoints. Some concrete examples depict the results of the analysis.
0

145
172


Nayyer
Mehanfar
Azarbaijan Shahid Madani University, Tabriz, Iran
Iran
mehanfar.n@azaruniv.ac.ir


Alireza
Ghaffari Hadigheh
Azarbaijan Shahid Madani University, Tabriz, Iran
Iran
hadigheha@azaruniv.ac.ir
Uniparameter linear optimization
Induced optimal partition invariancy analysis
change point
MoorePenrose inverse
Realization theory
1

Unified ball convergence of third and fourth convergence order algorithms under $omega$continuity conditions
https://jmm.guilan.ac.ir/article_4310.html
10.22124/jmm.2020.17556.1513
1
There is a plethora of third and fourth convergence order algorithms for solving Banach space valued equations. These orders are shown under conditions on higher than one derivatives not appearing on these algorithms. Moreover, error estimations on the distances involved or uniqueness of the solution results if given at all are also based on the existence of high order derivatives. But these problems limit the applicability of the algorithms. That is why we address all these problems under conditions only on the first derivative that appear in these algorithms. Our analysis includes computable error estimations as well as uniqueness results based on $omega$ continuity conditions on the Fr'echet derivative of the operator involved.
0

173
183


Gus
Argyros
Department of Computing and Technology, Cameron University, Lawton, OK 73505, USA
Iran
gus.argyros@cameron.edu


Michael
Argyros
Department of Computing and Technology, Cameron University, Lawton, OK 73505, USA
Iran
michael.argyros@cameron.edu


Ioannis
Argyros
Department of Computing and Technology, Cameron University, Lawton, OK 73505, USA
Iran
iargyros@cameron.edu


Santhosh
George
Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, India575 025
Iran
sgeorge@nitk.edu.in
$omega$ continuity
ball of convergence
Algorithm
1

Solution of Kawahara equation using a predictorcorrector and RBFQR method
https://jmm.guilan.ac.ir/article_4311.html
10.22124/jmm.2020.17221.1497
1
Two different methods based on radial basis functions (RBFs) for onedimensional Kawahara equation are presented. In the first one, we use MQRBF with predictorcorrector scheme. Then the statistical tool LOOCV is implemented for selecting good value of shape parameter. In the second one a different scheme is constructed for time and then the RBFQR method is implemented. In the both of two approaches, the NotaKnot method is used to improve the accuracy at the boundaries. The purpose of this paper is to devot suitable strategies to obtain more accurate and efficient solutions specially for arising fifth order timedependent nonlinear equations comparing with the results from the relevant papers.
0

185
199


Zahra
Dehghan
Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Iran
kntu.dehghan@gmail.com


Jalil
Rashidinia
Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
Iran
rashidinia@iust.ac.ir
Kawahara equation
multiquadric Radial basis functions
thetaweighted scheme
RBFQR
LOOCV strategy
1

Solution of nonlinear Volterra and Fredholm integrodifferential equations by the rational Haar wavelet
https://jmm.guilan.ac.ir/article_4312.html
10.22124/jmm.2020.16051.1404
1
We successively apply the rational Haar wavelet to solve the nonlinear Volterra integrodifferential equations and nonlinear Fredholm integrodifferential equations. Using the Banach fixed point theorem for these equations, we prove the convergence. In this method, no numerical integration is used. Numerical results are presented to show the effectiveness of this method.
0

201
213


Majid
Erfanian
Department of Science, School of Mathematical Sciences, University of Zabol, Iran
Iran
erfaniyan@uoz.ac.ir


Hamed
Zeidabadi
Faculty of Engineering, Sabzevar University of New Technology, Sabzevar, Iran
Iran
h.zeidabadi@yahoo.com
Fixed point Banach theorem
nonlinear
Volterra
Fredholm
integrodifferential
Haar wavelet
Convergence
1

Flow shop scheduling under TimeOfUse electricity tariffs using fuzzy multiobjective linear programming approach
https://jmm.guilan.ac.ir/article_4335.html
10.22124/jmm.2020.16104.1406
1
Given the reduction of nonrenewable energy resources and increase of energy costs during recent years, developing an efficient scheduling model considering energy consumption is necessary in manufacturing systems. This paper is dedicated to flow shop scheduling problem under TimeOfUse electricity tariffs. In this regard, a biobjective mixedinteger programming model is formulated for the problem. Two objectives, namely, the minimization of the total electricity cost and the sum of earliness and tardiness of jobs, are considered simultaneously. The biobjective model is converted into an equivalent single objective linear programming model using fuzzy multiobjective programming approach. The CPLEX solver in GAMS software is used to solve the proposed model for an instance. The numerical example shows that the proposed model is reasonable and applicable.
0

215
227


Seyed Amin
Badri
Department of Industrial Engineering, Faculty of Technology and Engineering, East of Guilan, University of Guilan, RudsarVajargah, Iran
Iran
badri@guilan.ac.ir


Allahyar
Daghbandan
Department of Chemical Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran
Iran
daghbandan@guilan.ac.ir


Zahra
Aghabeiginiyay Fatalaki
Department of Industrial Engineering, Kooshyar higher education institute, Rasht, Iran
Iran
zahra.aghabeigi1371@gmail.com


Mohammad
Mirzazadeh
Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, RudsarVajargah, Iran
Iran
mirzazadehs2@guilan.ac.ir
mixedinteger programming
biobjective model
electricity price
earliness
tardiness
1

Solution of a certain problem of scattering by using of the maximum entropy principle
https://jmm.guilan.ac.ir/article_4344.html
10.22124/jmm.2020.17714.1526
1
This paper studies a problem of inverse scattering on the basis of maximum entropy principle. The advantage of the method implies maximization of the entropy functional, what is the main condition and the scattering data and any a priory information are considered as constraints. This rephrasing of the problem leads to significant simplifications, since the entropy functional is known to be concave. Other peculiar properties of the method include his stability to various kinds of artifacts and adaptability to various schemes of measurement.
0

229
238


Alexander
Balandin
Matrosov Institute for Systems Dynamics and Control
Theory, Siberian Branch, Russian Academy of Sciences,
134 Lermontov str., Irkutsk33, 664033, Russia
Iran
balandin@icc.ru
inverse problems
maximum entropy
cone ray transform
computerized tomography
1

Augmented and deflated CMRH method for solving nonsymmetric linear systems
https://jmm.guilan.ac.ir/article_4350.html
10.22124/jmm.2020.17024.1511
1
The CMRH (Changing Minimal Residual method based on the Hessenberg process) is an iterative method for solving nonsymmetric linear systems. The method generates a Krylov subspace in which an approximate solution is determined. The CMRH method is generally used with restarting to reduce the storage. Restarting often slows down the convergence. In this paper we present augmentation and deflation techniques for accelerating the convergence of the restarted CMRH method. Augmentation adds a subspace to the Krylov subspace, while deflation removes certain parts from the operator. Numerical experiments show that the new algorithms can be more efficient compared with CMRH method.
0

239
256


Zohreh
Ramezani
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Iran
Iran
z_ramezani1367@yahoo.com


Faezeh
Toutounian
Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Iran
Iran
toutouni@math.um.ac.ir
Krylov subspace methods
augmentation
deflation
CMRH method
GMRES method
harmonic Ritz values
1

Denumerably many positive solutions for singular iterative system of fractional differential equation with RL fractional integral boundary conditions
https://jmm.guilan.ac.ir/article_4351.html
10.22124/jmm.2020.16598.1441
1
In this paper, we establish the existence of denumerably many positive solutions for singular iterative system of fractional order boundary value problem involving RiemannLiouville integral boundary conditions with increasing homeomorphism and positive homomorphism operator by using H"{o}lder's inequality and Krasnoselskii's cone fixed point theorem in a Banach space.
0

257
275


Kapula
Rajendra Prasad
Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India
Iran
rajendra92@rediffmail.com


Mahammad
Khuddush
Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India
Iran
khuddush89@gmail.com


Mahanty
Rashmita
Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India
Iran
rashmita.mahanty@gmail.com
Denumerable
positive solutions
fractional derivative
homeomorphism
homomorphism
Fixed point theorem
1

Optimal control of time delay Fredholm integrodifferential equations
https://jmm.guilan.ac.ir/article_4365.html
10.22124/jmm.2020.17213.1496
1
This paper is devoted to solve a set of nonlinear optimal control problems which are touched with timedelay Fredholm integrodifferential equations. The serious objective of this work is to contribute an appropriate direct scheme for solving these problems. The technique used in this paper is based upon the Dickson polynomials and collocation points. Getting through the solutions, the states and controls variables can be approximated with Dickson polynomials. Therefore, the optimal control problem with timedelay integrodifferential equation transforms into a system of algebraic equations that by solving it, we can obtain the unknown coefficients of the main problem. The residual error estimation of this technique is also investigated. Accuracy amount of the absolute errors have been studied for the performance of this method by solving several nontrivial examples.
0

277
291


Maryam
Alipour
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Iran
m.alipour@math.usb.ac.ir


Samaneh
SoradiZeid
Faculty of Industry and Mining (khash), University of Sistan and Baluchestan, Zahedan, Iran
Iran
soradizeid@eng.usb.ac.ir
Optimal control problems
Dickson polynomials
Timedelay equation
Fredholm integraodifferential equation
collocation points
1

Distribution of eigenvalues for subskewtriagonal Hankel matrices
https://jmm.guilan.ac.ir/article_4441.html
10.22124/jmm.2020.17283.1499
1
We investigate the eigenvalue distribution of banded Hankel matrices with nonzero skew diagonals. This work uses pushforward of an arcsine density, block structures and generating functions. Our analysis is done by a combination of Chebyshev polynomials, Laplacian determinant expansion and mathematical induction.
0

293
302


Maryam
Shams Solary
Department of Mathematics, Payame Noor University, P.O. Box 193953697 Tehran, Iran
Iran
shamssolary@pnu.ac.ir
Hankel
eigenvalue
Distribution
generating function
1

Introduction of the numerical methods in quantum calculus with uncertainty
https://jmm.guilan.ac.ir/article_4456.html
10.22124/jmm.2020.17822.1534
1
The aim of this study is the introduction of the numerical methods for solving the fuzzy $q$differential equations that many real life problems can be modelized in the form of these equations. $q$Taylor's expansion method is among important and famous methods for solving these problems. In this paper, applications of the fuzzy $q$Taylor's expansion, the fuzzy local $q$Taylor's expansion and the fuzzy $q$Euler's method, based on the generalized Hukuhara $q$differentiability are illustrated which are two numerical methods for finding approximate solution of the fuzzy initial value $q$problems (for short FIVqPs).
0

303
322


Zahra
Noeiaghdam
Department of Mathematics, Shahed University, Tehran, Iran
Iran
zahra.noie@yahoo.com


Morteza
Rahmani
Department of Mathematics, Shahed University, Tehran, Iran & Faculty of Basic and Advanced Technologies in Biology, University of Science and Culture, Tehran, Iran
Iran
rahmanimr@yahoo.com


Tofigh
Allahviranloo
Bahcesehir University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey & Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Iran
allahviranloo@yahoo.com
Generalized Hukuhara $q$derivative
fuzzy $q$Taylor's theorem
fuzzy local $q$Taylor's expansion
fuzzy $q$Euler's method
1

Note to the convergence of minimum residual HSS method
https://jmm.guilan.ac.ir/article_4457.html
10.22124/jmm.2020.18109.1559
1
The minimum residual HSS (MRHSS) method is proposed in [BIT Numerical Mathematics, 59 (2019) 299319] and its convergence analysis is proved under a certain condition. More recently in [Appl. Math. Lett. 94 (2019) 210216], an alternative version of MRHSS is presented which converges unconditionally. In general, as the second approach works with a weighted inner product, it consumes more CPU time than MRHSS to converge. In the current work, we revisit the convergence analysis of the MRHSS method using a different strategy and state the convergence result for general twostep iterative schemes. It turns out that a special choice of parameters in the MRHSS results in an unconditionally convergent method without using a weighted inner product. Numerical experiments confirm the validity of established results.
0

323
330


Arezo
Ameri
Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran
Iran
arezoameri20@gmail.com


Fatemeh
Panjeh Ali Beik
Department of Mathematics, ValieAsr University of Rafsanjan, Rafsanjan, Iran
Iran
f.beik@vru.ac.ir
Minimum residual technique
Hermitian and skewHermitian splitting
twostep iterative method
Convergence