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.

The fuzzy matrix equations AX̃ = Ỹ is called a singular fuzzy matrix equations while the coefficients matrix of its equivalent crisp matrix equations be a singular matrix. The singular fuzzy matrix equations are divided into two parts: consistent singular matrix equations and inconsistent fuzzy matrix equations. In this paper, the inconsistent singular fuzzy matrix equations is studied and the e...

in this paper rationalized haar (rh) functions method is applied to approximate the numerical solution of the fractional volterra integro-differential equations (fvides). the fractional derivatives are described in caputo sense. the properties of rh functions are presented, and the operational matrix of the fractional integration together with the product operational matrix are used to reduce t...

the linear system of equations ax = b where a = [aij ] in cn.n is a crispsingular matrix and the right-hand side is a fuzzy vector is called a singularfuzzy linear system of equations. in this paper, solving singular fuzzy linearsystems of equations using generalized inverses such as drazin inverse andpseudo-inverse are investigated.

We show that the one dimensional unitary matrix model with potential of the form aU + bU2 + h.c. is integrable. By reduction to the dynamics of the eigenvalues, we establish the integrability of a system of particles in one space dimension in an external potential of the form a cos(x+α) + b cos(2x+ β) and interacting through two-body potentials of the inverse sine square type. This system const...

the stochastic models for ship heave motion in irregular sea waves based on white and colored noises are examined. for this purpose the deterministic model transfers to stochastic models by adding different noise terms in force and then these models are solved analytically and numerically. finally an investigation is undertaken to examine the parameter estimation problem of second order stochas...

Now, the formula does not provide us with a solution that is written in decimal form; to get such a solution we need to evaluate the above expression. To this end, since most computers perform additions, subtractions, multiplications, and even divisions very fast, we should focus on the need to take a squareroot. In short, the “explicit” solution for the quadratic equation actually reduces our ...

Abstract In the context of Riordan arrays, problem determining square root a Bell matrix $$R={\mathcal {R}}(f(t)/t,\ f(t))$$ R = ( f t ) / , defined by f...