eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-01-01
8
2
1
20
514930
مقاله های تحقیقی
Hilbert modules over pro-C*-algebras
Hilbert modules over pro-C*-algebras
م آژینی
m.azhini@srbiau.ac.ir
1
ن. حداد زاده
2
دانشگاه آزاد واحد علوم و تحقیقات تهران
دانشگاه آزاد واحد علوم وتحقیقات تهران
In this paper, we generalize some results from Hilbert C*-modules to pro-C*-algebra case. We also give a new proof of the known result that l2(A) is aHilbert module over a pro-C*-algebra A.
In this paper, we generalize some results from Hilbert C*-modules to pro-C*-algebra case. We also give a new proof of the known result that l2(A) is aHilbert module over a pro-C*-algebra A.
http://msj.iau-arak.ac.ir/article_514930_e6fbc0f9e8033463cd4733f1cd87a2ad.pdf
Pro-C*-algebra
-C*-algebra
Hilbert modules
Bounded
module maps
Inverse system
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-01-01
8
2
21
31
514933
مقاله های تحقیقی
Some notes on convergence of homotopy based methods for functional equations
Some notes on convergence of homotopy
based methods for functional equations
آ. عزیزی
a.azizi@pnu.ac.ir
1
ج. سعیدیان
2
ا بابلیان
3
دانشگاه پیام نور تهران
دانشکده ریاضی دانشگاه خوارزمی تهران
دانشگاه خوارزمی تهران
Although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. Some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.Here, after criticizing previous works, a sucient condition for convergence ofhomotopy methods is presented. Finally, examples are given to show that evenif the homotopy method leads to a convergent series, it may not converge tothe exact solution of the equation under consideration.
Although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. Some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.Here, after criticizing previous works, a sucient condition for convergence ofhomotopy methods is presented. Finally, examples are given to show that evenif the homotopy method leads to a convergent series, it may not converge tothe exact solution of the equation under consideration.
http://msj.iau-arak.ac.ir/article_514933_353e68e328dbd7efc40e988047afc8ff.pdf
Homotopy analysis method
Homotopy perturbation method
Convergence theorem
Banach fixed point theorem
Series solution
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-01-01
8
2
33
39
515078
مقاله های تحقیقی
Common xed point theorem for w-distance with new integral type contraction
Common xed point theorem for
w-distance with new integral type
contraction
E. Firouz
e_firouz@iau-abhar.ac.ir
1
S. J. Hosseini Ghoncheh
2
Department of Mathematics, Islamic Azad University, Abhar Branch, Abhar, Iran.
Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran.
Boujari [5] proved a fixed point theorem with an old version of the integraltype contraction , his proof is incorrect. In this paper, a new generalizationof integral type contraction is introduced. Moreover, a fixed point theorem isobtained.
Boujari [5] proved a fixed point theorem with an old version of the integraltype contraction , his proof is incorrect. In this paper, a new generalizationof integral type contraction is introduced. Moreover, a fixed point theorem isobtained.
http://msj.iau-arak.ac.ir/article_515078_4c64092fb64a8e113be447b80eb3c590.pdf
fixed point
Common fixed point
Integral type contraction
w-distance
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-01-01
8
2
41
48
515079
مقاله های تحقیقی
Application of iterative Jacobi method for an anisotropic diusion in image processing
Application of iterative Jacobi method for
an anisotropic diusion in image
processing
M Khanian
mar.khanian@gmail.com
1
A. Davari
2
Department of Mathematics, Khorasgan (Isfahan) Branch, Islamic Azad University, Isfahan, Iran.
Department of Mathematics, Faculty of sciences, University of Isfahan, Isfahan, Iran.
Image restoration has been an active research area. Dierent formulations are eective in high qualityrecovery. Partial Dierential Equations (PDEs) have become an important tool in image processingand analysis. One of the earliest models based on PDEs is Perona-Malik model that is a kindof anisotropic diusion (ANDI) lter. Anisotropic diusion lter has become a valuable tool indierent elds of image processing specially denoising. This lter can remove noises without degradingsharp details such as lines and edges. It is running by an iterative numerical method. Therefore, afundamental feature of anisotropic diusion procedure is the necessity to decide when to stop theiterations. This paper proposes the modied stopping criterion that from the viewpoints of complexityand speed is examined. Experiments show that it has acceptable speed without suering from theproblem of computational complexity.
Image restoration has been an active research area. Dierent formulations are eective in high qualityrecovery. Partial Dierential Equations (PDEs) have become an important tool in image processingand analysis. One of the earliest models based on PDEs is Perona-Malik model that is a kindof anisotropic diusion (ANDI) lter. Anisotropic diusion lter has become a valuable tool indierent elds of image processing specially denoising. This lter can remove noises without degradingsharp details such as lines and edges. It is running by an iterative numerical method. Therefore, afundamental feature of anisotropic diusion procedure is the necessity to decide when to stop theiterations. This paper proposes the modied stopping criterion that from the viewpoints of complexityand speed is examined. Experiments show that it has acceptable speed without suering from theproblem of computational complexity.
http://msj.iau-arak.ac.ir/article_515079_0493df7a177e5bb0d80a46072e34d22c.pdf
Image restoration
Anisotropic diusion
iterative numerical
method
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2012-01-01
8
2
49
64
515080
مقاله های تحقیقی
The eect of indicial equations in solving inconsistent singular linear system of equations
The eect of indicial equations in solving
inconsistent singular linear system of
equations
M Nikuei
1
M.K. Mirnia
2
Young Researchers Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
Department of Computer engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
The index of matrix A in Cn.n is equivalent to the dimension of largest Jor-dan block corresponding to the zero eigenvalue of A. In this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.
The index of matrix A in Cn.n is equivalent to the dimension of largest Jor-dan block corresponding to the zero eigenvalue of A. In this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.
http://msj.iau-arak.ac.ir/article_515080_e08d8a0d41e638553ad3e8604d5180cd.pdf
Indicial equations
Normal equations
Singular linear system
Drazin inverse