The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
This study presents a new parallel algorithm for power system transient stability computation based on symplectic Gauss method. The s-stage 2s-order symplectic Gauss method is used to convert the differential-algebraic system simultaneously at s time points into a set of non-linear algebraic equations, and the algebraic system is then solved by Newton method. Based on the block matrix characteristics,...
In this paper, we propose a method of measuring the orientation of observed objects as a parametric model. The orientation is represented as angle of observed objects. We suppose that optical flow obtained from image have component of not only component of translational velocity but also revolution, scaling, and orientation. To estimate these components, it is necessary to construct nonlinear simultaneous...
The paper describes an algorithm that determines the solutions of a n-dimensional nonlinear equation system within a given interval. The result is based on Semenov algorithm that isolates the solutions and improves upon it by introducing Kantorovich existence criterion. In Semenov algorithm the existence of the solution is decided by applying Newton method on each interval containing at most one solution...
In this paper, a new family of combined iterative methods for the solution of nonlinear equations is presented.The new family of methods is based on Newton's method and the family of sixth-order iterative methods developed by Chun. Per iteration the new methods require three evaluations of the function and two evaluations of its first derivative. Numerical tests show that it takes less number of iterations...
We present some modified Newton-type methods for solving nonlinear equations. These algorithms are free from second derivatives and permit f'(x) = 0 in some iteration points. The convergent analysis demonstrates that the order of convergence and the efficiency index of the present methods are better than that of the classical Newton's method. Some numerical examples are given to illustrate their efficiency...
A common approach to designing feedback controllers for nonlinear partial differential equations (PDEs) is to linearize the system about an equilibrium and use the linearized model as a starting point in the design process. In many practical applications (fluid flow control, thermal fluids, etc.) the equilibrium of interest is not the trivial zero state and this equilibrium must be computed numerically...
The Mahalanobis metric was proposed by extending the Mahalanobis distance to provide a probabilistic distance for a non-normal distribution. The Mahalanobis metric equation is a nonlinear second order differential equation derived from the equation of geometrically local isotropic independence, which is proposed to define normal distributions in a manifold. In this paper we provide experimental results...
In this article, our objective is the analysis of the resolution of non-linear differential systems by combining Newton and Continuation (N-C) method. The iterative numerical methods converge where the initial condition is chosen close to the exact solution. The question of choosing the initial condition is answered by N-C method
Summary form only given. We present a computer-assisted technique, valid for arbitrary values of the system parameters, which allows us to find the model equations' stable and unstable stationary solutions, including periodic patterns and localised structures. It can be extended to find their eigenspectrum, and hence their stability and can also find their response to perturbations. The technique...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.