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Physical Sciences and Mathematics Commons

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SelectedWorks

2005

Articles (Local Journals)

Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

A Posteriori Estimate For Tikhonov Regularization Parameter, S. Abbasbandy Jan 2005

A Posteriori Estimate For Tikhonov Regularization Parameter, S. Abbasbandy

Saeid Abbasbandy

This paper deals the numerical solution of integral equations of the first kind with using regularization method. There are many stopping rules based on discrepancy principle or discussed in [3]. Here a new stopping rule is described which uses SVD (Singular Value Decomposition) and condition number of matrices. Finally, we give a number of numerical examples showing that the method works well in practice.


A Method For Solving Fuzzy Linear Systems, S. Abbasbandy, M. Alavi Jan 2005

A Method For Solving Fuzzy Linear Systems, S. Abbasbandy, M. Alavi

Saeid Abbasbandy

In this paper we present a method for solving fuzzy linear systems by two crisp linear systems. Also necessary and sufficient conditions for existence of solution are given. Some numerical examples illustrate the efficiency of the method.


A New Method For Solving Symmetric Fuzzy Linear Systems, S. Abbasbandy, M. Alavi Jan 2005

A New Method For Solving Symmetric Fuzzy Linear Systems, S. Abbasbandy, M. Alavi

Saeid Abbasbandy

In this paper we represent a new method for solving a symmetric fuzzy linear system by two crisp linear systems. Also necessary and sufficient conditions for the solution existence are given.