A block-iterative parallel decomposition method is proposed to solve general quadratic signal recovery problems under convex constraints. The proposed method proceeds by local linearizations of blocks of constraints and it is therefore not sensitive to their analytical complexity. In addition, it naturally lends itself to implementation on parallel computing architectures due to its flexible bl...

The semi-ordered fast iterative method is used to compute a monotone front propagation of anisotropic nature by solving the eikonal equation. Compared to established iterative methods, such as the fast iterative method, the semi-ordered fast iterative method (SOFI) offers increased stability for variations in the front velocity. So far, the method has only been investigated in a serial, two-dim...

In this paper, we present new preconditioned generalized mixed-type splitting (GMTS) methods for solving weighted linear least square problems. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. The comparison results show that the preconditioned GMTS methods converge faster than the GMTS method whenever the GMTS method is convergent. Finally...

We consider the numerical solution of elliptic boundary value problems by mixed nite element discretizations on simplicial triangulations. Emphasis is on the eecient iterative solution of the discretized problems by multilevel techniques and on adaptive grid reenement. The iterative process relies on a preconditioned conjugate gradient iteration in a suitably chosen subspace with a multilevel p...

‎In this article‎, ‎we introduce a new type iterative scheme for‎ ‎approximating common fixed points of two asymptotically‎ ‎nonexpansive mappings is defined‎, ‎and weak and strong convergence‎ ‎theorem are proved for the new iterative scheme in a uniformly‎ ‎convex Banach space‎. ‎The results obtained in this article‎ ‎represent an extension as well as refinement of previous known‎ ‎resu...

We study the e ect of spin-orbit iteration on the electron energy spectra in tree-dimensional (3D) nanoscale semiconductor quantum rings. Ultrasmall InAs quantum ring embedded in GaAs matrix is numerically solved with the e ective one electronic band Hamiltonian, the energyand position-dependent electron e ective mass approximation, and the spin-dependent Ben Daniel-Duke boundary conditions. Th...

In many fields of science and engineering, partial differential equation (PDE) constrained optimal control problems are widely used. We mainly solve the optimization problem by time-periodic eddy current in this paper. propose three-block splitting (TBS) iterative method proved that it is unconditionally convergent. At same time, corresponding TBS preconditioner derived from iteration method, w...

Reaction-Advection-Diffusion problems occurring in Air Pollution Models have very stiff reaction terms and moderately stiff vertical mixing (diffusion and cloud transport) terms which both should be integrated implicitly in time. Standard implicit time stepping is by far too expensive for this type of problems whereas widely used splitting techniques may lead to unacceptably large errors for fa...