in this paper, we design a new model of preconditioner for systems of linear equations. the convergence properties of the proposed methods have been analyzed and compared with the classical methods. numerical experiments of convection-diffusion equations show a good im- provement on the convergence, and show that the convergence rates of proposed methods are superior to the other modified itera...

a‎s we know, developing mathematical models and numerical procedures that would appropriately treat and solve systems of linear equations where some of the system's parameters are proposed as fuzzy numbers is very important in fuzzy set theory. for this reason, many researchers have used various numerical methods to solve fuzzy linear systems. in this paper, we define the concepts of midpoint a...

We consider the problem of nding a solution of a nonlinear system of equations subject to some box constraints. To this end, we introduce a new active set-type Newton method with global and local fast convergence properties. The method generates feasible iterates and has to solve only one linear system of equations at each iteration. Due to our active set strategy, this linear system is of redu...

We consider the problem of simultaneous nite gain L p-stabilization and internal stabilization of linear systems subject to input saturation via linear static state feedback. We show that bounded input nite-gain L p-stabilization and local asymptotic stabilization can always be achieved simultaneously no matter where the poles of the open loop system are, and the locations of these poles play a...

We present three new methods that investigate the equalities implied by a system of linear arithmetic constraints. Implied equalities can be used to simplify linear arithmetic constraints and are valuable in the context of Nelson-Oppen style combinations of theories. The first method efficiently checks whether a system of linear arithmetic constraints implies an equality at all. In case the sys...

Consider the homogeneous equation u ′(t) = l(u)(t) for a.e. t ∈ [a, b] where l : C([a, b];R) → L([a, b];R) is a linear bounded operator. The efficient conditions guaranteeing that the solution set to the equation considered is one-dimensional, generated by a positive monotone function, are established. The results obtained are applied to get new efficient conditions sufficient for the solvabili...

in this study, a new and ecient approach is presented for numerical solution offredholm integro-dierential equations (fides) of the second kind on unbounded domainwith degenerate kernel based on operational matrices with respect to generalized laguerrepolynomials(glps). properties of these polynomials and operational matrices of integration,dierentiation are introduced and are ultilized to r...

in this paper, the sinc collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by khalil, r., al horani, m., yousef, a. and sababeh, m. in a new definition of fractional derivative, j. comput. appl. math. 264 (2014), 65{70. the properties of sinc functions are ...

We will study special solutions of the fourth, fifth and sixth Painlevé equations with generic values of parameters whose linear monodromy can be calculated explicitly. We will show the relation between Umemura’s classical solutions and our solutions.

This paper develops asymptotically pivotal structural change tests in simultaneous equations with weakly identified parameters. In former literature, Caner (2007) proposes boundedly pivotal structural change tests when there are weakly identified parameters. The tests developed in this article are new, and benefit from reparameterizing the model. This results in asymptotically pivotal tests. Si...