Results 21 to 30 of about 318 (192)
A Unified Convergence Analysis for Some Two-Point Type Methods for Nonsmooth Operators
Mathematics, 2019 The aim of this paper is the approximation of nonlinear equations using iterative methods. We present a unified convergence analysis for some two-point type methods.
Sergio Amat +4 more
doaj +1 more source
Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus
Algorithms, 2015 We present a semilocal convergence study of Newton-type methods on a generalized Banach space setting to approximate a locally unique zero of an operator. Earlier studies require that the operator involved is Fréchet differentiable.
George A. Anastassiou +1 more
doaj +1 more source
Asymptotically Newton-Type Methods without Inverses for Solving Equations
MathematicsThe implementation of Newton’s method for solving nonlinear equations in abstract domains requires the inversion of a linear operator at each step. Such an inversion may be computationally very expensive or impossible to find.
Ioannis K. Argyros +5 more
doaj +1 more source
Local convergence of some Newton-type methods for nonlinear systems
Journal of Numerical Analysis and Approximation Theory, 2004 In order to approximate the solutions of nonlinear systems\[F(x)=0,\]with \(F:D\subseteq {\mathbb R}^{n}\rightarrow {\mathbb R}^{n}\),\(n\in {\Bbb N}\), we consider the method\begin{align*}x_{k+1} & =x_{k}-A_{k}F(x_{k})\label{f1.4}\\A_{k+1} & =A_{k}(2I-F^
Ion Păvăloiu
doaj +2 more sources
Third-Order Newton-Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems
Abstract and Applied Analysis, 2014 We present a third-order method for solving the systems of nonlinear equations. This method is a Newton-type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method.
Wen Zhou, Jisheng Kou
doaj +1 more source
On Fractional Newton‐Type Method for Nonlinear Problems
Journal of Mathematics, 2022 The current manuscript is concerned with the development of the Newton–Raphson method, playing a significant role in mathematics and various other disciplines such as optimization, by using fractional derivatives and fractional Taylor series expansion.
Mine Aylin Bayrak +2 more
openaire +3 more sources
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
PLoS ONE, 2013 Estimation of variance components by Monte Carlo (MC) expectation maximization (EM) restricted maximum likelihood (REML) is computationally efficient for large data sets and complex linear mixed effects models.
Kaarina Matilainen +4 more
doaj +1 more source
Projected Newton-type Methods in Machine Learning [PDF]
, 2011 We consider projected Newton-type methods for solving large-scale optimization problems arising in machine learning and related fields. We first introduce an algorithmic framework for projected Newton-type methods by reviewing a canonical projected (quasi-)Newton method.
Schmidt, M., Kim, D., Sra, S.
openaire +3 more sources
Molecular Oncology, EarlyView.Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff +11 more
wiley +1 more source