A time-dependent, two-dimensional model of a semiconductor laser array is numerically studied by means of Θand Newton-Raphson methods. A parallel version of the BiCGSTAB algorithm for the solution of the linear equations resulting from the Newton-Raphson technique is presented. It is shown that the proposed method reduces by half the number of messages and, by means of communications overlappin...

A new registration algorithm based on Newton-Raphson iteration is proposed to align images with rigid body transformation. A set of transformation parameters consisting of translation in x and y and rotation angle around z is calculated by optimizing a specified similarity metric using the Newton-Raphson method. This algorithm has been tested by registering and correlating pairs of topography m...

Three multiplicative algorithms for the floatingpoint divide operation are compared: the Newton-Raphson method, Goldschmidt’s algorithm, and a naive method that simply calculates a form of the Taylor series expansion of a reciprocal. The series also provides a theoretical basis for Goldschmidt’s algorithm. It is well known that, of the Newton-Raphson method and Goldschmidt’s algorithm, the form...

This paper deals with possible algorithms, which may ensure numerical stability of Newton-Raphson method in load flow analysis. Although the Newton-Raphson method is frequently used, it may have difficulties to obtain convergence. Oscillations, divergence or even convergence to unfeasible solutions may appear using traditional procedures. Therefore, various techniques (such as update truncation...

This paper is about an intriguing property of the continuous Newton-Raphson method for the minimization of a continuous objective function f : if x is a point in the domain of attraction of a strict local minimizer x then the flux line of the Newton-Raphson flow that starts in x approaches x from a direction that depends only on the behavior of f in arbitrarily small neighborhoods around x and ...

For the nonlinear analysis of structures using the well known Newton-Raphson Method, the tangent stiffness matrices of the elements must be constructed in each iteration. Due to the high expense required to find the exact tangent stiffness matrices, researchers have developed novel innovations into the Newton-Raphson method to reduce the cost and time required by the analysis. In this paper, a ...

A Modern wireless broadband system of MIMO OFDM (multiple input multiple output orthogonal frequency division multiplexing) is more popular because of good data transmission rate, robustness against multipath fading and better spectral efficiency. This system provides reliable communication and wider coverage. A main challenge to MIMO OFDM system is the retrieval of channel state information (C...

This paper presents an efficient method for solving the direct kinematics of parallel manipulators that follow a defined singularity-free trajectory. Despite the main problem is to solve the inverse kinematics, calculating the errors between the desired path and the actual path requires solving the forward kinematics which is a challenging problem. The proposed method combines closed-loop Jacob...

The main purpose of this paper is to find fuzzy root of fuzzy polynomials (if exists) by using Newton-Raphson method. The proposed numerical method has capability to solve fuzzy polynomials as well as algebric ones. For this purpose, by using parametric form of fuzzy coefficients of fuzzy polynomial and Newton-Rphson method we can find its fuzzy roots. Finally, we illustrate our approach by nu...