2018-06-23T21:24:41Z
http://msj.iau-arak.ac.ir/?_action=export&rf=summon&issue=110874
Theory of Approximation and Applications
Theory Approx. Appl.
2538-2217
2538-2217
2012
8
2
Hilbert modules over pro-C*-algebras
م
آژینی
ن.
حداد زاده
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.
2012
01
01
1
20
http://msj.iau-arak.ac.ir/article_514930_e6fbc0f9e8033463cd4733f1cd87a2ad.pdf
Theory of Approximation and Applications
Theory Approx. Appl.
2538-2217
2538-2217
2012
8
2
Some notes on convergence of homotopy based methods for functional equations
آ.
عزیزی
ج.
سعیدیان
ا
بابلیان
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.
2012
01
01
21
31
http://msj.iau-arak.ac.ir/article_514933_353e68e328dbd7efc40e988047afc8ff.pdf
Theory of Approximation and Applications
Theory Approx. Appl.
2538-2217
2538-2217
2012
8
2
Common xed point theorem for w-distance with new integral type contraction
E.
Firouz
S. J.
Hosseini Ghoncheh
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.
2012
01
01
33
39
http://msj.iau-arak.ac.ir/article_515078_4c64092fb64a8e113be447b80eb3c590.pdf
Theory of Approximation and Applications
Theory Approx. Appl.
2538-2217
2538-2217
2012
8
2
Application of iterative Jacobi method for an anisotropic diusion in image processing
M
Khanian
A.
Davari
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.
2012
01
01
41
48
http://msj.iau-arak.ac.ir/article_515079_0493df7a177e5bb0d80a46072e34d22c.pdf
Theory of Approximation and Applications
Theory Approx. Appl.
2538-2217
2538-2217
2012
8
2
The eect of indicial equations in solving inconsistent singular linear system of equations
M
Nikuei
M.K.
Mirnia
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.
2012
01
01
49
64
http://msj.iau-arak.ac.ir/article_515080_e08d8a0d41e638553ad3e8604d5180cd.pdf