This article describes a fast iterative algorithm for image denoising and deconvolution with signal-dependent observation noise. We use an optimization strategy based on variable splitting that adapts traditional Gaussian noise-based restoration algorithms to account for the observed image being corrupted by mixed Poisson-Gaussian noise and quantization errors.

The well known LBG algorithm uses binary splitting method for generating initial codebook which is then iteratively improved by GLA. In the present paper we study different variants of the splitting method and its application to codebook generation problem with and without GLA. A new iterative splitt ing method is proposed which is applicable to the codebook generation without the use of GLA. E...

in this paper, we introduce and study a mixed variational inclusion problem involving infinite family of fuzzy mappings. an iterative algorithm is constructed for solving a mixed variational inclusion problem involving infinite family of fuzzy mappings and the convergence of iterative sequences generated by the proposed algorithm is proved. some illustrative examples are also given.

In this paper, a new multi-parameter iterative algorithm is proposed to address the PageRank problem based on multi-splitting iteration method. The method solves two linear subsystems at each by splitting coefficient matrix, considering therefore inner and outer find approximate solutions of these subsystems. It can be shown that sequence generated finally converges vector when parameters satis...

How to accelerate the convergence speed and avoid computing inversion of a Jacobian matrix is important in solution nonlinear algebraic equations (NAEs). This paper develops an approach with splitting-linearizing technique based on term reduce effect terms. We decompose terms NAEs through splitting parameter then linearize around values at previous step linear system. Through maximal orthogonal...

In this paper, the split fixed point and variational inclusion problem is considered. With help of technique, Tseng-type splitting method self-adaptive rule, an iterative algorithm proposed for solving in which involved operators S T are demicontractive g plain monotone. Strong convergence theorem proved under some mild conditions.

We discuss iterative operator-splitting methods for convection-diffusion and wave equations motivated from the eigenvalue problem to decide the splitting process. The operator-splitting methods are well-know to solve such complicated multi-dimensional and multi-physical problems. Often the problem, how to decouple the underlying operators, is not understood well enough. We propose a method base...

where ΓD and ΓN are assumed to partition the boundary of Ω, and ~ν(~x) denotes the outward unit normal from Ω at ~x ∈ ΓN . Additionally we assume that each connected component of ΓN is simply connected. The numerical treatment of (1 3) involves the solution of usually very large indefinite linear equation systems. In this paper we describe a very efficient and practicable iterative method to so...