1 edition of **Attractor Basins of Various Root-Finding Methods** found in the catalog.

Attractor Basins of Various Root-Finding Methods

- 23 Want to read
- 5 Currently reading

Published
**2001**
by Storming Media
.

Written in English

- MAT000000

The Physical Object | |
---|---|

Format | Spiral-bound |

ID Numbers | |

Open Library | OL11846969M |

ISBN 10 | 1423525418 |

ISBN 10 | 9781423525417 |

When the human \ central nervous system is placed in a loop with itself using scalp electrodes \ and video displays, various attractor patterns of aberrant function \ (pathology) emerge as computationally reducible events. These events can be \ displayed in graphic form using Joint Time-Frequency Analysis. Indian Institute of Technology Kanpur Dean of Academic Affairs Office OARS Course Master Database (as on SEP) Dept.-wise list of courses with course contents Course No. L-T-P-D-C Pre-requisite Course Contents/References Course Title ** Department of AE ** AE Course Contents: History of aviation, Size: 2MB.

A new method for real root-finding using Gale duality. Daniel J Bates*, IMA (University of Minnesota) () a.m. Thomae's formula for normal cyclic curves. Galbodayage Sujeeva Wijesiri*, Oakland University () a.m. Eliminating near multiplicities in polynomial systems: a . Garnier, J. Homogenization in a periodic and time-dependent potential ,.pdf) SIAM J. Appl. Math., Vol. 57, pp. (). Abstract: This paper contains a study of the long time behaviour of a diffusion process in a periodic potential. The first goal is to determine a suitable rescaling of time and space so that the diffusion process converges to some homogeneous limit.

Biblioteca en línea. Materiales de aprendizaje gratuitos. Various methods for the analysis of three-dimensional stress singularities have been used over the course of the last 50 years, among them the scaled boundary finite element method, finite element eigenanalysis techniques, the finite element iterative method, the finite differences method, etc.

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Basin attractors for various methods [17] B.D. Stewart, Attractor Basins of Various Root-Finding Methods, M.S. thesis, Naval Postgraduate School, Department of Applied Mathematics. Basin attractors for various methods for multiple roots Article in Applied Mathematics and Computation (9) January with Reads How we measure 'reads'.

Attractor Basins of Various Root-Finding Methods book An attractor is a subset A of the phase space characterized by the following three conditions. A is forward invariant under f: if a is an element of A then so is f(t,a), for all t > 0.; There exists a neighborhood of A, called the basin of attraction for A and denoted B(A), which consists of all points b that "enter A in the limit t → ∞".

More formally, B(A) is the set of all points b in. There are very few optimal fourth order methods for solving nonlinear algebraic equations having roots of multiplicity a previous paper we have compared 5 such methods, two of which require the evaluation of the (m − 1) th root.

We have used the basin of attraction idea Cited by: Skip to main content. Try Prime All. There are very few optimal fourth order methods for solving nonlinear algebraic equations having roots of multiplicity we compare five such methods, two of which require the evaluation of the (m − 1)st methods are usually compared by evaluating the computational efficiency and the Cited by: We use simple equations in order to compare the basins of attraction on the complex plane, corresponding to a large collection of numerical methods, of several order.

Two cases are considered, regarding the total number of the roots, which act as numerical attractors. For both cases we use the iterative schemes for performing a thorough and systematic classification of the nodes on the Cited by: 2.

In this study, we present a new higher-order scheme without memory for simple zeros which has two major advantages.

The first one is that each member of our scheme is derivative free and the second one is that the present scheme is capable of producing many new optimal family of eighth-order methods from every 4-order optimal derivative free scheme (available in the literature) whose first Cited by: 6.

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Developed here are sixteenth-order simple-root-finding optimal methods with generic weight functions. Their numerical and dynamical aspects are investigated with the establishment of a main theorem describing the desired optimal convergence. Special cases with polynomial and rational weight functions have been extensively studied for applications to real-world by: 3.

A number of computational experiments clearly support the underlying theory on the local convergence of the proposed methods. In addition, to investigate the relevant global convergence, we focus on the dynamics of the developed methods, as well as other known methods through the visual description of attraction basins.

Read "Symbolic computation and computer graphics as tools for developing and studying new root-finding methods, Applied Mathematics and Computation" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

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The series contains an enormous collection of examples and worked exercises, thousands of references, a fully hyperlinked index. Each volume comes with a DVD-ROM of all. Basins of attraction of different attractor states of Gauss-Newton’s method.

Two Gaussian functions fitted to five random points. Basins of attraction of different attractor states of Gauss-Newton’s method. Two Gaussian functions fitted to 10 random points.

Basins of attraction of different attractor states of Gauss-Newton’s method. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

Here various concepts and methods are utilized, with strong or less strong theoretical background. We address structural aspects of Permutation entropy and recent variants of it and demonstrate performance of them in the analysis of large and complex data as EEG data, in particular in the detection of change points and in data classification.

Wada basins and mille-feuille collision manifolds. These patterns are somewhat reminiscent of the classic Newton’s root-finding iterative formula fractals: several basins of attraction with a fractal border where pairs of basins encounter interleaved tiny parts of basins not member of the pair.

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For a single polynomial equation, root-finding algorithms can be used to find solutions to the equation (i.e., sets of values for the variables that satisfy the equation). However, systems of algebraic equations are more complicated; their study is one motivation for the field of algebraic geometry, a difficult branch of modern mathematics.Experimental and theoretical evidence shows that biological system processing behavior has nonlinear and chaotic properties.

The ability of emerging various solutions for a problem and the existence of a supervisor to guide this variety to become close to the goal, Cited by: 1.Full text of "Fluid mechanics and the environment: dynamical approaches: a collection of research papers written in commemoration of the 60th birthday of Sidney Leibovich" See other formats.