Results 51 to 60 of about 1,528,330 (141)

On the semilocal convergence of Newton-type methods, when the derivative is not continuously invertible

Cubo, 2011
We provide a semilocal convergence analysis for Newton-type methods to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The Frechet-derivative of the operator involved is not necessarily continuous invertible. This
Ioannis K Argyros, Saïd Hilout
doaj  

Ball Convergence of an Efficient Eighth Order Iterative Method Under Weak Conditions

Mathematics, 2018
The convergence order of numerous iterative methods is obtained using derivatives of a higher order, although these derivatives are not involved in the methods.
Janak Raj Sharma, Ioannis K. Argyros, Sunil Kumar   +2 more
doaj   +1 more source

Convergence Analysis of Weighted-Newton Methods of Optimal Eighth Order in Banach Spaces

Mathematics, 2019
We generalize a family of optimal eighth order weighted-Newton methods to Banach spaces and study their local convergence. In a previous study, the Taylor expansion of higher order derivatives is employed which may not exist or may be very expensive to ...
Janak Raj Sharma, Ioannis K. Argyros, Sunil Kumar   +2 more
doaj   +1 more source

Generalized J-integral – mathematical foundation

Boundary Value Problems
This article describes the mathematics for building the foundations of the theory of the Generalized J-integral (GJ-integral) in various variational problems defined on D that gives the shape derivative on singular points such as boundaries, cracks ...
Kohji Ohtsuka
doaj   +1 more source

Fréchet-Derivative-Based Global Sensitivity Analysis and Its Physical Meanings in Structural Design

Applied Sciences
Sensitivity analysis is essential for uncertainty-based structural design and analysis, especially global sensitivity analysis, which can reflect the overall physical properties of large and complex computational models with stochastic parameters.
Weifeng Tao, Zhiqiang Wan, Xiuli Wang
doaj   +1 more source

A Formula for the Fréchet Derivative of a Generalized Matrix Function

SIAM Journal on Matrix Analysis and Applications, 2017
V. Noferini
semanticscholar   +1 more source

Mathematical Determination of the Fréchet Derivative with Respect to the Domain for a Fluid-Structure Scattering Problem: Case of Polygonal-Shaped Domains

SIAM Journal on Mathematical Analysis, 2018
H. Barucq, R. Djellouli, Elodie Estecahandy, M. Moussaoui   +3 more
semanticscholar   +1 more source

Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus. [PDF]

Calc Var Partial Differ Equ
Carrillo JA, Salmaniw Y.
europepmc   +1 more source

Tropical gradient descent. [PDF]

J Glob Optim
Talbut R, Monod A.
europepmc   +1 more source

Steady bubbles and drops in inviscid fluids. [PDF]

Calc Var Partial Differ Equ
Meyer D, Niebel L, Seis C.
europepmc   +1 more source