Keywords: Decomposition technique Iterative method Convergence Newton method Auxiliary function Coupled system of equations a b s t r a c t In this paper, we use the system of coupled equations involving an auxiliary function together with decomposition technique to suggest and analyze some new classes of iterative methods for solving nonlinear equations. These new methods include the Halley me...

Irregular codes are present in many scientific applications, such as finite element simulations. In these simulations the solution of large sparse linear equation systems is required, which are often solved using iterative methods. The main kernel of the iterative methods is the sparse matrix–vector multiplication which frequently demands irregular data accesses. Therefore, techniques that incr...

We introduce and study a system of generalized nonlinear mixed variational-like inequality problems SGNMVLIPs in Banach spaces. The auxiliary principle technique is applied to study the existence and iterative algorithm of solutions for the SGNMVLIP. First, the existence of solutions of the auxiliary problems for the SGNMVLIP is shown. Second, an iterative algorithm for solving the SGNMVLIP is ...

the problem of downward continuation of the gravity field from the earth’s surface to the reference ellipsoid arises from the fact that the solution to the boundary value problem for geoid determination without applying stokes formula is sought in terms of the disturbing potential on the ellipsoid but the disturbing gravity observations are only available on the earth’s surface. downward contin...

A new decoding technique based on an iterative method with pixel updating is proposed for fractal image compression. We prove that the new iterative method converges in the most general case of variable shape segmentations, unconstrained domains, and use of pixel shu ing. We show that in some important cases the new method has a greater rate of convergence than the conventional method. Furtherm...

A homotopy method is presented for the construction of frozen Jacobian iterative methods. The frozen Jacobian iterative methods are attractive because the inversion of the Jacobian is performed in terms of LUfactorization only once, for a single instance of the iterative method. We embedded parameters in the iterative methods with the help of the homotopy method: the values of the parameters ar...

In this paper it is proposed an extended memory iterative learning technique. The knowledge of the iterative learning controller can be built by using the previous tasks of the iterative learning controller in tracking various desired trajectories in terms of a database of input and output data. For a new desired trajectory, iterative learning controller can predict the initial control input fr...

Iterative Algorithms can obtain good reconstruction image for enough Iterative times in the technique ct image reconstruction. The order method of the Weighted Distance Orthogonal (WDO) is introduced in this paper to accelerate the Iterative reconstruction, which improves greatly the access mode of ART to projection data, based on the crucial effect that the access order of projection date has ...