ORIGINAL_ARTICLE
GGMRES: A GMRES--type algorithm for solving singular linear equations with index one
In this paper, an algorithm based on the Drazin generalized conjugate residual (DGMRES) algorithm is proposed for computing the group-inverse solution of singular linear equations with index one. Numerical experiments show that the resulting group-inverse solution is reasonably accurate and its computation time is significantly less than that of group-inverse solution obtained by the DGMRES algorithm.
http://jmm.guilan.ac.ir/article_1954_dcd4f79f7ead59a08d2173d1dbddaad0.pdf
2017-06-01T11:23:20
2018-01-20T11:23:20
1
14
singular linear systems
DGMRES method
group-inverse solution
Drazin-inverse solution
Krylov subspace methods
Alireza
Ataei
ataei@pgu.ac.ir
true
1
Mathematics Department, Faculty of Science, Persian Gulf University, Iran
Mathematics Department, Faculty of Science, Persian Gulf University, Iran
Mathematics Department, Faculty of Science, Persian Gulf University, Iran
LEAD_AUTHOR
Faezeh
Toutounian
toutouni@math.um.ac.ir
true
2
Department of Applied Mathematics, School of Mathematical Sciences
Department of Applied Mathematics, School of Mathematical Sciences
Department of Applied Mathematics, School of Mathematical Sciences
AUTHOR
ORIGINAL_ARTICLE
Robust portfolio selection with polyhedral ambiguous inputs
Ambiguity in the inputs of the models is typical especially in portfolio selection problem where the true distribution of random variables is usually unknown. Here we use robust optimization approach to address the ambiguity in conditional-value-at-risk minimization model. We obtain explicit models of the robust conditional-value-at-risk minimization for polyhedral and correlated polyhedral ambiguity sets of the scenarios. The models are linear programs in the both cases. Using a portfolio of USA stock market, we apply the buy-and-hold strategy to evaluate the model's performance. We found that the robust models have almost the same out-of-sample performance, and outperform the nominal model. However, the robust model with correlated polyhedral results in more conservative solutions.
http://jmm.guilan.ac.ir/article_2004_1d74d05dba0e222372683aab00dd663c.pdf
2017-06-01T11:23:20
2018-01-20T11:23:20
15
26
data ambiguity
conditional value-at-risk
polyhedral ambiguity set
robust optimization
Somayyeh
Lotfi
slotfi@phd.guilan.ac.ir
true
1
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
LEAD_AUTHOR
Maziar
Salahi
salahim@guilan.ac.ir
true
2
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
AUTHOR
Farshid
Mehrdoust
fmehrdoust@guilan.ac.ir
true
3
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
AUTHOR
ORIGINAL_ARTICLE
A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method
In this paper, we consider two dimensional nonlinear elliptic equations of the form $ -{\rm div}(a(u,\nabla u)) = f $. Then, in order to solve these equations on rectangular domains, we propose a numerical method based on Sinc-Galerkin method. Finally, the presented method is tested on some examples. Numerical results show the accuracy and reliability of the proposed method.
http://jmm.guilan.ac.ir/article_2079_9ed41d4df0353ca9b00dafbb90cd4c8c.pdf
2017-06-01T11:23:20
2018-01-20T11:23:20
27
40
Sinc-Galerkin method
elliptic partial differential equations
nonlinear problems
numerical solutions
Ali
Zakeri
azakeri@kntu.ac.ir
true
1
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
LEAD_AUTHOR
Amir Hossein
Salehi Shayegan
ah.salehi@mail.kntu.ac.ir
true
2
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
AUTHOR
Fatemeh
Asadollahi
f.asadollahi@sina.kntu.ac.ir
true
3
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Mixed two-stage derivative estimator for sensitivity analysis
In mathematical modeling, determining most influential parameters on outputs is of major importance. Thus, sensitivity analysis of parameters plays an important role in model validation. We give detailed procedure of constructing a new derivative estimator for general performance measure in Gaussian systems. We will take advantage of using score function and measure-value derivative estimators in our approach. It is shown that the proposed estimator performs better than other estimators for a dense class of test functions in the sense of having smaller variance.
http://jmm.guilan.ac.ir/article_2211_654dd56a77eaa7c5441494a27081eb41.pdf
2017-06-01T11:23:20
2018-01-20T11:23:20
41
52
derivative estimator
infinitesimal perturbation analysis
measure-valued
risk analysis
score function
stochastic activity network
Kolsoom
Mirabi
g.mirabi66@yahoo.com
true
1
Department of Statistics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
Department of Statistics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
Department of Statistics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
AUTHOR
Mohammad
Arashi
m_arashi_stat@yahoo.com
true
2
Department of Statistics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
Department of Statistics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
Department of Statistics, School of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
Determining optimal value of the shape parameter $c$ in RBF for unequal distances topographical points by Cross-Validation algorithm
Several radial basis function based methods contain a free shape parameter which has a crucial role in the accuracy of the methods. Performance evaluation of this parameter in different functions with various data has always been a topic of study. In the present paper, we consider studying the methods which determine an optimal value for the shape parameter in interpolations of radial basis functions for data collections produced by topographical images that are not necessarily in equal distances. The Cross-Validation method is picked out of several existing algorithms proposed for determining the shape parameter.
http://jmm.guilan.ac.ir/article_2225_aa76072c0b4d04bfa157f4f964478609.pdf
2017-06-01T11:23:20
2018-01-20T11:23:20
53
60
Radial Basis Function
Cross-Validation error
three-dimensional image
Mohammadreza
Yaghouti
yaghouti@guilan.ac.ir
true
1
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
LEAD_AUTHOR
Habibe
Ramezannezhad Azarboni
heral_ramezannezhad@yahoo.com
true
2
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
AUTHOR
ORIGINAL_ARTICLE
A numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method
In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics and hydromagnetic stability. Convergence and error bound estimation of the method are discussed. The comparison of results with exact solution and existing numerical methods such as Quintic B-spline collocation method and Galerkin method with Quintic B-splines as basis functions shown that the HWCM is a powerful numerical method for solution of above mentioned problems.
http://jmm.guilan.ac.ir/article_2296_a101cfd2f23c799df5988bdb40444a02.pdf
2017-06-01T11:23:20
2018-01-20T11:23:20
61
75
Haar wavelet
Eighth order boundary value problems
Collocation method
Arikera Padmanabha
Reddy
paddu.padmanabha@gmail.com
true
1
Department of Mathematics, V. S. K. University, Ballari, India
Department of Mathematics, V. S. K. University, Ballari, India
Department of Mathematics, V. S. K. University, Ballari, India
LEAD_AUTHOR
Manjula
Harageri
manjulaharageri@gmail.com
true
2
Department of Mathematics, V. S. K. University, Ballari, India
Department of Mathematics, V. S. K. University, Ballari, India
Department of Mathematics, V. S. K. University, Ballari, India
AUTHOR
Channaveerapala
Sateesha
csatish9980@gmail.com
true
3
Department of Mathematics, V. S. K. University, Ballari, India
Department of Mathematics, V. S. K. University, Ballari, India
Department of Mathematics, V. S. K. University, Ballari, India
AUTHOR