Results 31 to 40 of about 327,788 (207)

Semilocal Convergence of the Extension of Chun’s Method

open access: yesAxioms, 2021
In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun’s iterative method.
Alicia Cordero   +4 more
doaj   +1 more source

Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables [PDF]

open access: yes, 2011
We prove weak laws of large numbers and central limit theorems of Lindeberg type for empirical centres of mass (empirical Fréchet means) of independent nonidentically distributed random variables taking values in Riemannian manifolds.
Huiling Le   +3 more
core   +1 more source

Derivative observations in Gaussian Process models of dynamic systems [PDF]

open access: yes, 2003
Gaussian processes provide an approach to nonparametric modelling which allows a straightforward combination of function and derivative observations in an empirical model.
Rasmussen, C.E.   +4 more
core   +6 more sources

On the Numerical Solution of a Hyperbolic Inverse Boundary Value Problem in Bounded Domains

open access: yesMathematics, 2022
We consider the inverse problem of reconstructing the boundary curve of a cavity embedded in a bounded domain. The problem is formulated in two dimensions for the wave equation.
Roman Chapko, Leonidas Mindrinos
doaj   +1 more source

Mysovskii-type theorem for the Secant method under Hölder continuous Fréchet derivative [PDF]

open access: yes, 2006
The Mysovskii-type condition is considered in this study for the Secant method in Banach spaces to solve a nonlinear operator equation. We suppose the inverse of divided difference of order one is bounded and the Fréchet derivative of the nonlinear ...
Hongmin Ren   +3 more
core   +1 more source

A symmetry property of the Fréchet derivative

open access: yes, 1994
Let A A and B B be n × n n \times n matrices. We show that the matrix representing the linear transformation \[ X ↦ ( A X
Roy Mathias
core   +1 more source

AI‐BioMech: Deep Learning Prediction of Mechanical Behavior in Aperiodic Biological Cellular Materials

open access: yesAdvanced Intelligent Discovery, EarlyView.
AI‐BioMech is a deep learning framework that predicts the mechanical behavior of biological cellular materials directly from 2D images. By replacing traditional finite element analysis with semantic segmentation, it identifies stress and strain distributions with 99% accuracy, offering a high‐speed, scalable alternative for analyzing complex, aperiodic
Haleema Sadia   +2 more
wiley   +1 more source

Fréchet directional differentiability and Fréchet differentiability [PDF]

open access: yes, 1996
summary:Zaj'\i ček has recently shown that for a lower semi-continuous real-valued function on an Asplund space, the set of points where the function is Fréchet subdifferentiable but not Fréchet differentiable is first category.
Sciffer, Scott, Giles, J. R.
core   +1 more source

Local convergence of the Gauss-Newton-Kurchatov method under generalized Lipschitz conditions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
We investigate the local convergence of the Gauss-Newton-Kurchatov method for solving nonlinear least squares problems. This method is a combination of Gauss-Newton and Kurchatov methods and it is used for problems with the decomposition of the operator.
S.M. Shakhno, H.P. Yarmola
doaj   +1 more source

The Newton's method for operators with Hölder continuous ffrst derivative. [PDF]

open access: yes, 2001
We analyze the convergence of the Newton method when the first Fréchet derivative of the operator involved is Hölder continuous. We calculate also the R-order of convergence and provide some a priori error bounds.
Hernández, M.A. [0000-0001-5478-2958]
core   +1 more source

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