Correlations of ambient seismic noise are now widely used to retrieve the Earth response between two points. In this study, we reconstruct the surface-wave Green's function by iterating the correlation process over the tail of the noise-based correlation function. It has been demonstrated that the so-called C 3 function shows the surface-wave part of the Green's function. Using data from 150 co...

An iterative procedure is proposed for robust H2 controller design. This method improves a previously reported technique, where optimization over two variables the controller and a scaling matrix was carried out by keeping one fixed at a time and minimizing the worst-case H2 norm over the other. In this paper, it is shown how optimization over both parameters at the same time can be formulated ...

Continuing the work [Fuc08], I show that the translation functions developed previously map iterable λ-structures to iterable s-structures and vice versa. To this end, I analyze how the translation functions interact with the formation of extender ultrapowers and normal iterations. This analysis makes it possible to translate iterations, and, in a last step, iteration strategies, thus arriving ...

‎In this paper we propose a new iteration process‎, ‎called the $K^{ast }$ iteration process‎, ‎for approximation of fixed‎ ‎points‎. ‎We show that our iteration process is faster than the existing well-known iteration processes using numerical examples‎. ‎Stability of the $K^{ast‎}‎$ iteration process is also discussed‎. ‎Finally we prove some weak and strong convergence theorems for Suzuki ge...

Preconditioning  Krylov Subspace Methods are commonly used for solving linear system  Standard implementations are communication-bound due to required SpMV and orthogonalization in every iteration  Solution: rearrange algorithms to perform s iterations at a time without communicating (s-step methods)  SpMV in each iteration is replaced with a call to the Matrix Powers Kernel, which performs...

The present paper discuss the existence, uniqueness and other properties of solutions nonlinear differential equation fractional order involving Caputo derivative with mixed boundary condition. analysis obtained results is based on application S-iteration method. Since study qualitative in general required integral inequalities, but here method itself has equally important contribution to vario...