Results 11 to 20 of about 360 (203)

A doubly relaxed minimal-norm Gauss–Newton method for underdetermined nonlinear least-squares problems [PDF]

open access: yes, 2022
When a physical system is modeled by a nonlinear function, the unknown parameters can be estimated by fitting experimental observations by a least-squares approach. Newton's method and its variants are often used to solve problems of this type.
Rodriguez G., Pes F.
core   +1 more source

Generalized Differentiability Conditions for Newton's Method. [PDF]

open access: yes, 2002
The use of majorizing sequences is the usual way to prove the convergence of Newton's method. An alternative technique to majorizing sequences is provided in this paper, in which three scalar sequences are used, so that the analysis of convergence is ...
Ezquerro, J.A. [0000-0001-8120-167X]   +1 more
core   +1 more source

Majorizing sequences for Newton's method from initial value problems [PDF]

open access: yes, 2012
The most restrictive condition used by Kantorovich for proving the semilocal convergence of Newton's method in Banach spaces is relaxed in this paper, providing we can guarantee the semilocal convergence in situations that Kantorovich cannot.
Hernández, null [0000-0001-5478-2958]   +2 more
core   +1 more source

The complex dynamics of Newton's method for a double root [PDF]

open access: yes, 1991
We show that the relaxed Newton's method for finding the roots of a cubic with one double root is conjugate, by a linear fractional transformation on the Riemann sphere, to the iterations of the quadratic p(z) = z2 − 0 ...
Gilbert, William J.
core   +1 more source

A transonic potential solver with an embedded wake approach using multivalued finite elements [PDF]

open access: yes, 2021
A potential transonic solver with an embedded wake is presented. The flow outside of attached boundary layers of streamlined bodies flying at high Reynold numbers can be assumed to be irrotational and isentropic. This assumption reduces the Navier-Stokes
Zorrilla, Rubén   +11 more
core   +1 more source

Repeatability of Joint-Dominated Deployable Masts [PDF]

open access: yes, 2011
Deployable masts are a class of structure that can be stowed in a small volume and expanded into long, slender, and stable booms. Their greatest benefit as space structures is their packing ratio: masts can typically be packed to a fraction of their ...
Stohlman, OR, Stohlman, Olive Remington
core   +1 more source

On Infinite Area for Complex Exponential Function [PDF]

open access: yes, 2004
This paper shows via a reduced family of examples, the relaxed Newton's method is applied to complex exponential function F(z) = ze(z) and F(z) = ze(z2) the basin of roots has infinite area.
Çilingir, Figen, Çilingir, F
core   +1 more source

Dynamical systems and wavelets. [PDF]

open access: yes, 2002
The first part of this thesis is concerned with Bakers Conjecture (1984) which says that two permutable transcendental entire functions have the same Julia set.
Hua, Xinhou.
core   +3 more sources

On Newton's method for Huber's robust M-estimation problems in linear regression [PDF]

open access: yes, 1998
The Newton method of Madsen and Nielsen (1990) for computing Huber's robust M-estimate in linear regression is considered. The original method was proved to converge finitely for full rank problems under some additional restrictions on the choice of the ...
Pınar, M. Ç., Chen, B.
core   +1 more source

Modifications of Newton's method to extend the convergence domain [PDF]

open access: yes, 2014
The paper is devoted to description of certain ways of extending the domain of convergence of Newton’s method. This paper is a survey of contributions of representatives of Soviet and Russian mathematical school, namely, Kalitkin, Puzynin, Madorskij ...
Budzko, Dzmitry   +2 more
core   +1 more source

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