Nonlinear Preconditioning: How to use a Nonlinear Schwarz Method to Precondition Newton's Method [PDF]
, 2015 For linear problems, domain decomposition methods can be used directly as iterative solvers, but also as preconditioners for Krylov methods. In practice, Krylov acceleration is almost always used, since the Krylov method finds a much better residual ...
Dolean, V. +4 more
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A q-Gradient Descent Algorithm with Quasi-Fejér Convergence for Unconstrained Optimization Problems
Fractal and Fractional, 2021 We present an algorithm for solving unconstrained optimization problems based on the q-gradient vector. The main idea used in the algorithm construction is the approximation of the classical gradient by a q-gradient vector.
Shashi Kant Mishra +5 more
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New SOR-like methods for solving the Sylvester equation
Open Mathematics, 2014 We present new iterative methods for solving the Sylvester equation belonging to the class of SOR-like methods, based on the SOR (Successive Over-Relaxation) method for solving linear systems.
Kierzkowski Jakub
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Some Hyperbolic Iterative Methods for Linear Systems
Journal of Applied Mathematics, 2020 The indefinite inner product defined by J=diagj1,…,jn, jk∈−1,+1, arises frequently in some applications, such as the theory of relativity and the research of the polarized light.
K. Niazi Asil, M. Ghasemi Kamalvand
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Computation of saddle type slow manifolds using iterative methods [PDF]
, 2015 This paper presents an alternative approach for the computation of trajectory segments on slow manifolds of saddle type. This approach is based on iterative methods rather than collocation-type methods.
Benoît E. +15 more
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An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari +2 more
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Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations
Mathematics, 2020 This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are related to convection−diffusion−reaction equations. The splitting techniques are based on iterative splitting approaches with adaptive ideas.
Jürgen Geiser +2 more
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Unambiguous range extension for pulse‐Doppler radar via Poisson disk sampling
IET Radar, Sonar & Navigation, 2021 Since the maximum unambiguous range in the traditional single‐channel pulse‐Doppler (PD) radar is restricted by the pulse repetition interval (PRI), there is a trade‐off between the maximum unambiguous range and the maximum unambiguous velocity.
Boyuan Dong +3 more
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Bold Diagrammatic Monte Carlo in the Lens of Stochastic Iterative Methods
, 2017 This work aims at understanding of bold diagrammatic Monte Carlo (BDMC) methods for stochastic summation of Feynman diagrams from the angle of stochastic iterative methods.
Li, Yingzhou, Lu, Jianfeng
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On the Convergence of Adaptive Iterative Linearized Galerkin Methods [PDF]
, 2019 A wide variety of different (fixed-point) iterative methods for the solution of nonlinear equations exists. In this work we will revisit a unified iteration scheme in Hilbert spaces from our previous work that covers some prominent procedures (including ...
Heid, Pascal, Wihler, Thomas P.
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