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Articles 1 - 7 of 7

Full-Text Articles in Physical Sciences and Mathematics

The Block Aor Iterative Methods For Solving Fuzzy Linear Systems, Hs Najafi, Sa Edalatpanah Jul 2012

The Block Aor Iterative Methods For Solving Fuzzy Linear Systems, Hs Najafi, Sa Edalatpanah

SA Edalatpanah

In this article the block AOR Iterative methods are used for solving fuzzy linear systems. The convergence of the methods and functional relationship between eigenvalues in block AOR is investigated.


Preconditioning Strategy To Solve Fuzzy Linear Systems (Fls), Sa Edalatpanah Mar 2012

Preconditioning Strategy To Solve Fuzzy Linear Systems (Fls), Sa Edalatpanah

SA Edalatpanah

In this article, the preconditioning methods are used for fuzzy linear systems and especially some new preconditioners are introduced. Moreover, the preconditioned iterative methods are studied from the point of view of rate of convergence and the convergence properties of the proposed methods have been analyzed and compared with the classical methods. Finally, the methods are tested by numerical example that shows a good improvement on the convergence speed.


Some Approaches For Using Stationary Iterative Methods To Linear Equations Generated From The Boundary Element Method, Hs Najafi, Sa Edalatpanah, B Parsa Moghaddam Mar 2012

Some Approaches For Using Stationary Iterative Methods To Linear Equations Generated From The Boundary Element Method, Hs Najafi, Sa Edalatpanah, B Parsa Moghaddam

SA Edalatpanah

For linear equations, there are numerous stationary iterative methods. However, these methods are not applicable in some important problems such as linear system arising from the boundary element method (BEM). In this paper, we proposed two approaches for using stationary iterative methods to linear equations arising from the BEM for the Laplace and convective diffusion with first-order chemical reaction problems. Our proposed methods are simple and graceful. Finally, numerical example is given to show the efficiency of our results.


A Kind Of Symmetrical Iterative Methods To Solve Special Class Of Lcp (M, Q), Sa Edalatpanah, Hs Najafi Mar 2012

A Kind Of Symmetrical Iterative Methods To Solve Special Class Of Lcp (M, Q), Sa Edalatpanah, Hs Najafi

SA Edalatpanah

No abstract provided.


Nash Equilibrium Solution Of Fuzzy Matrix Game Solution Of Fuzzy Bimatrix Game, Sa Edalatpanah, Hs Najafi Mar 2012

Nash Equilibrium Solution Of Fuzzy Matrix Game Solution Of Fuzzy Bimatrix Game, Sa Edalatpanah, Hs Najafi

SA Edalatpanah

In this paper, we propose a method for finding Nash equilibrium of fuzzy games. This method is based on ranking function of fuzzy linear programming which simplifies the solving process of fuzzy Nash equilibrium. Numerical results show that the proposed method is competitive to the state-of-the-art algorithms.


A New Two-Phase Method For The Fuzzy Primal Simplex Algorithm, Sa Edalatpanah, S Shahabi Mar 2012

A New Two-Phase Method For The Fuzzy Primal Simplex Algorithm, Sa Edalatpanah, S Shahabi

SA Edalatpanah

Recently, Nasseri et al., [1, 2] proposed fuzzy two-phase method involving fuzzy artificial variables and fuzzy big-M method to obtain an initial fuzzy basic feasible solution to solve the linear programming with fuzzy variables (FVLP) problems. In this paper, we propose a new two-phase method for solving fuzzy linear programming. Our method needs not any artificial variables and has an advantage of the simple implementation. Furthermore this method is more effective and faster than above methods.


New Model For Preconditioning Techniques With Application To The Boundary Value Problems, Sa Edalatpanah, Hs Najafi Mar 2012

New Model For Preconditioning Techniques With Application To The Boundary Value Problems, Sa Edalatpanah, Hs Najafi

SA Edalatpanah

No abstract provided.