Results 31 to 40 of about 12,109 (301)
Generalized differentiability conditions for Newton's method
IMA Journal of Numerical Analysis, 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 simplified when the traditional convergence condition is relaxed.
Ezquerro, J.A., Hernández, M.A.
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Journal of Mathematics, 2021 For solving the large sparse linear systems with 2×2 block structure, the generalized successive overrelaxation (GSOR) iteration method is an efficient iteration method. Based on the GSOR method, the PGSOR method introduces a preconditioned matrix with a
Yu-Ye Feng, Qing-Biao Wu
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Axioms, 2021 We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and determine
Ioannis K. Argyros +4 more
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Generalized Newton method with applications
, 2017 In this chapter we are interested in the approximately solving the generalized equation: Find x ∈ H such that 0 ∈ F(x) + T(x). (16.1) where F : H → H is a Fr→chet differentiable function, H is a Hilbert space and T : H ⇉ H is a set valued maximal monotone operator.
Argyros, Ioannis K +1 more
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Mathematics, 2023 Some iterative schemes with memory were designed for approximating the inverse of a nonsingular square complex matrix and the Moore–Penrose inverse of a singular square matrix or an arbitrary m×n complex matrix.
Alicia Cordero +3 more
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Generalized equations and Newton’s and method
, 2017 Capítulo del libro "Iterative Methods and Their Dynamics with Applications" In [18], G. S. Silva considered the problem of approximating the solution of the generalized equation F(x)+Q(x) ϶ 0,(11.1) where F : D → H is a Fréchet differentiable function, H is a Hilbert space with inner product ⟨., .⟩ and corresponding norm ||.||, D ⊆ H an open set and T
Argyros, Ioannis K +1 more
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A semismooth newton method for the nearest Euclidean distance matrix problem
, 2013 The Nearest Euclidean distance matrix problem (NEDM) is a fundamentalcomputational problem in applications such asmultidimensional scaling and molecularconformation from nuclear magnetic resonance data in computational chemistry.Especially in the latter ...
Qi, Houduo
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Numerical study of the stationary generalized viscoplastic fluid flows
Alexandria Engineering Journal, 2018 In this work, numerical schemes for the generalized stationary regularized viscoplastic fluids equations with highly nonlinear viscosities are analyzed.
Mohamed El-Borhamy
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Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method
, 1974 To define a likelihood we have to specify the form of distribution of the observations, but to define a quasi-likelihood function we need only specify a relation between the mean and variance of the observations and the quasi-likelihood can then be used ...
Wedderburn, R. W. M.
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Molecular Oncology, EarlyView.Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau +8 more
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