In this paper, we present a modified regularized Newton method for the unconstrained nonconvex optimization by using trust region technique. We show that if the gradient and Hessian of the objective function are Lipschitz continuous, then the modified regularized Newton method (M-RNM) has a global convergence property. Numerical results show that the algorithm is very efficient.

The simple Selective Harmonic Elimination (SHE) for 3-Phase Voltage Source Inverter (VSI) is presented here. The proposed work is to examine the Selective Harmonic Elimination (SHE) and to eliminate harmonics produced by Pulse Width Modulation (PWM) inverter. The selective harmonic elimination method for three phase Voltage Source Inverter (VSI) is generally based on ideas of opposite harmonic ...

We consider the problem of growth of the sequence of Lebesgue constants corresponding to the Newton interpolation and estimate the growth of this sequence in the case of a nested family of Chebyshev's points.

The paper presents methods for instantaneous harmonic analysis with application to high-quality pitch, timbre, and time-scale modifications. The analysis technique is based on narrow-band filtering using special analysis filters with frequency-modulated impulse response. The main advantages of the technique are high accuracy of harmonic parameters estimation and adequate harmonic/noise separati...

Newton-Krylov methods, combination of Newton-like methods and Krylov subspace methods for solving the Newton equations, often need adequate preconditioning in order to be successful. Approximations of the Jacobian matrices are required to form preconditioners and this step is very often the dominant cost of Newton-Krylov methods. Therefore, working with preconditioners destroys in principle the...

The power quality (PQ) issue is get new measurement because of power system rebuilding and moving pattern towards distributed generation. PQ comprises of an expansive number of unsettling influences, for example, voltage sags, swells, harmonics, notch, flicker and so forth. To conquer these issues identified with the PQ, FACTS gadgets are presented. A distribution static compensator (D-STATCOM)...

The periodic generalized harmonic wavelet (PGHW) method is used to analyze the response of chain-like multi-degree-of-freedom (MDOF) nonlinear structural system with seismic excitation in time and frequency domain. First, theoretical background PGHW briefly introduced, relationship between power spectral density (PSD) stochastic process corresponding coefficient given. Next, wavelet-Galerkin st...

The balancing Neumann-Neumann (BNN) and the additive coarse grid correction (BPS) preconditioner are fast and successful preconditioners within domain decomposition methods for solving partial differential equations. For certain elliptic problems these preconditioners lead to condition numbers which are independent of the mesh sizes and are independent of jumps in the coefficients (BNN). Here w...