Results 31 to 40 of about 1,368 (203)
Third-order iterative methods without using any Fréchet derivative
, 2003 A modification of classical third-order methods is proposed. The main advantage of these methods is they do not need to evaluate any Fréchet derivative. A convergence theorem in Banach spaces, just assuming the second divided difference is bounded and a ...
Candela, Vicente +2 more
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On the Numerical Solution of a Hyperbolic Inverse Boundary Value Problem in Bounded Domains
Mathematics, 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
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A symmetry property of the Fréchet derivative
, 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
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Advanced Science, EarlyView.TarPass provides a rigorous benchmark for target‐aware de novo molecular generation by jointly evaluating protein‐ligand interactions, molecular plausibility, and drug‐likeness on 18 well‐studied targets. Results show that current models often fail to consistently surpass random baseline in target‐specific enrichment, while post hoc multi‐tier virtual ...
Rui Qin +11 more
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Advanced Science, EarlyView.The human brain's imagination, which enables autonomous driving hazard avoidance by completing missing visual information, relies on Gaussian‐stochastic neuron. We report the altermagnetic RuO2 spintronic neurons integrating field‐free switching and intrinsic Gaussian stochasticity, building an all‐spin ANN for high‐quality image repairing and high ...
Junwei Zeng +9 more
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, 1999 We provide sufficient conditions for the convergence of inexact Newton methods to a solution of a nonlinear equation in a Banach space. Earlier results have used conditions on the first Fréchet-derivative.
Argyros, I.K.
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A Formula for the Fréchet Derivative of a Generalized Matrix Function [PDF]
, 2016 We state and prove an analogue of the Daleckii--Krein theorem, thus obtaining an explicit formula for the Fréchet derivative of generalized matrix functions.
Vanni Noferini, Noferini, Vanni
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017 This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is ...
Ioannis K. Argyros, Santhosh George
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Local convergence of the Gauss-Newton-Kurchatov method under generalized Lipschitz conditions
Karpatsʹkì 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
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Advanced 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