Results 31 to 40 of about 327,788 (207)
Semilocal Convergence of the Extension of Chun’s Method
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]
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
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Derivative observations in Gaussian Process models of dynamic systems [PDF]
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
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
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Mysovskii-type theorem for the Secant method under Hölder continuous Fréchet derivative [PDF]
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
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A symmetry property of the Fréchet derivative
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
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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]
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.
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Local convergence of the Gauss-Newton-Kurchatov method under generalized Lipschitz conditions
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]
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]
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