Journal of Mahani Mathematical Research
Volume:3 Issue: 1, Winter 2014

A weighted linear regression model with impercise response and p-real explanatory variables is analyzed. The LR fuzzy random variable is introduced and a metric is suggested for coping with this kind of variables. A least square solution for estimating the parameters of the model is derived. The result are illustrated by the means of some case studies.

In this paper, we focus on the study of shearlet transform which is de ned by using the hyperbolic functions. As a result we check an admissibility condition such that implies the reconstruction formula. To this end, we will use the concept of the classical shearlet, which indicates the position and direction of a singularity.

In this paper we consider the solutions of linear systems of saddle point problemsý. ýBy using the spectrum of a quadratic matrix polynomialý, ýwe study the eigenvalues of the iterative matrix of the Hermitian and skew Hermitian splitting methodý.

In this paper, using the best proximity theorems for an extension of Brosowski's theorem. We obtain other results on farthest points. Finally, we de ne the concept of e- farthest points. We shall prove interesting relationship between the -best approximation and the e-farthest points in normed linear spaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a -best approximation in W.

In this paper, we present Gauss-Sidel and successive over relaxation (SOR) iterative methods for finding the approximate solution system of fuzzy Sylvester equations (SFSE), AX XB = C, where A and B are two m*m crisp matrices, C is an m*m fuzzy matrix and X is an m*m unknown matrix. Finally, the proposed iterative methods are illustrated by solving one example.