We study two projection algorithms for solving the Variational Inequality Problem (VIP) in Hilbert space. One algorithm is a modi…ed subgradient extragradient method in which an additional projection onto the intersection of two half-spaces is employed. Another algorithm is based on the shrinking projection method. We establish strong convergence theorems for both algorithms.

This paper discusses a problem in which  decentralized supply chains enter the market simultaneously with no existing rival chains, shape the supply chains’ networks, and set wholesale and retail prices in a noncooperative manner. All the chains produce either identical or highly substitutable products. Customer demand is elastic and price-dependent. A three-step algorithm is proposed to solve ...

Abstract Mathematical methods take an important part in reconstruction technologies of radiographic image. Back projection, iterative, and analytical (Two-dimensional Fourier, Filtered Projection) are the most procedures for image reconstruction. Whenever there exists numerous projections, have a great performance speed accuracy due to these advantages they comprehensively used X-ray imaging. O...

In this paper the problems of state estimation, tracking control and shape control in a micro-cantilever beam with nonlinear electrostatic actuation are investigated. The system’s partial differential equation of motion is converted into a set of ordinary differential equations by projection method. Observabillity of the system is proven and a state estimation system is designed using extended ...

In this talk, an algorithm is proposed to determine the topology of an implicit real algebraic surface in R. The algorithm consists of four steps: surface projection, projection curve topology determination, surface patch composition, and combination of surface patches. The algorithm gives an intrinsic representation for the topology of the surface. Some examples are used to show that the algor...

We propose a gradient-limited affine projection algorithm (GL-APA), which can achieve fast and double-talk-robust convergence in acoustic echo cancellation. GL-APA is derived from the M-estimationbased nonlinear cost function extended for evaluating multiple error signals dealt with in the affine projection algorithm (APA). By considering the nonlinearity of the gradient, we carefully formulate...

BACKGROUND Excess infratip lobule projection is often the result of deformities of the middle crus and lower lateral cartilage. The causes and correction of excess projection have not been well described. The classification of the deformities causing excess infratip lobule projection is defined and a surgical algorithm for addressing the infratip lobule is presented. METHODS A retrospective r...

This paper describes a block (affine) projection algorithm that has exactly the same convergence rate as the original sample-by-sample algorithm and smaller computational complexity than the fast affine projection algorithm. This is achieved by 1) introducing a correction term that compensates for the filter output difference between the sample-by-sample projection algorithm and the straightfor...

Background: The present study aimed to introduce a rapid transmission dosimetry through an electronic portal-imaging device (EPID) to achieve two-dimensional (2D) dose distribution for homogenous environments. Material and Methods: In this Phantom study, first, the EPID calibration curve and correction coefficients for field size were obtained from EPID and ionization chamber. Second, the...

The interferometric coherence optimization methods are based on the definition of projection vectors, which is the way to combine the information occuring from the polarimetric channels of both interferometric images. An important point is the physical interpretation of the projection vectors in terms of scattering characteristics. An optimization algorithm has been first proposed by Cloude and...