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Newton’s Method

1998
We have called Newton’s method the “…’ search algorithm’ sine qua non of numerical analysis and scientific computation.” Yet we have seen that even for a polynomial of one complex variable we cannot decide if Newton’s method will converge to a root of the polynomial on a given input.
Lenore Blum   +3 more
openaire   +1 more source

Newton’s Method

2016
In this chapter we study the convergence of Newton’s method for nonlinear equations and nonlinear inclusions in a Banach space. Nonlinear mappings, which appear in the right-hand side of the equations, are not necessarily differentiable. Our goal is to obtain an approximate solution in the presence of computational errors.
openaire   +1 more source

Newton’s method

Resonance, 2002
If one follows in the footsteps of Newton, ‘almost all’ roads lead to Rome (or is it London?).
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Generalized Kleinman‐Newton method

Optimal Control Applications and Methods, 2018
SummaryThis paper addresses the general problem of optimal linear control design subject to convex gain constraints. Classical approaches based exclusively on Riccati equations or linear matrix inequalities are unable to treat problems that incorporate feedback gain constraints, for instance, the reduced‐order (including static) output feedback control
José C. Geromel, Grace S. Deaecto
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Newton’s Methods

2013
Regression analyses are commonly used to analyze pharmacodynamic/ -kinetic data. Newton’s method is different from traditional regression analysis, because, instead of different parameters for a single function, entirely different functions are compared with one another.
Ton J. Cleophas, Aeilko H. Zwinderman
openaire   +2 more sources

Newton’s Method

2023
Luigi Grippo, Marco Sciandrone
  +4 more sources

Newton’s Method

1994
The search for solutions of the equation f(x) = 0 is ancient and methods that can solve equations of the form ax2 + bx + c = 0 are several thousand years old. In the 16th century, Italian mathematicians discovered methods for solving third and fourth degree polynomials.
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Newton's method

Proceedings of the third ACM symposium on Symbolic and algebraic computation - SYMSAC '76, 1976
The analytic concepts of approximation, convergence, differentiation, and Taylor series expansion are applied and interpreted in the context of an abstract power series domain. Newton's method is then shown to be applicable to solving for a power series root of a polynomial with power series coefficients, resulting in fast algorithms for a variety of ...
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GENERALIZATIONS OF NEWTON'S METHOD

Fractals, 2001
We give a survey of the complex dynamics of various generalizations of Newton's method for finding a complex root of a polynomial of a single variable.
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Convergent newton method and neural network for the electric energy usage prediction

Information Sciences, 2022
Jose de Jesus Rubio   +2 more
exaly  

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