Randomized Row and Column Iterative Methods with a Quantum Computer [PDF]
, 2019 We consider the quantum implementations of the two classical iterative solvers for a system of linear equations, including the Kaczmarz method which uses a row of coefficient matrix in each iteration step, and the coordinate descent method which utilizes
Shao, Changpeng, Xiang, Hua
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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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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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Iterative methods for k-Hessian equations
, 2018 On a domain of the n-dimensional Euclidean space, and for an integer k=1,...,n, the k-Hessian equations are fully nonlinear elliptic equations for k >1 and consist of the Poisson equation for k=1 and the Monge-Ampere equation for k=n.
Awanou, Gerard
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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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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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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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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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Bandlimited Frequency-Constrained Iterative Methods
Remote SensingVariable aperture sampling reconstruction matrices have a history of being computationally intensive due to the need to compute a full matrix inverse. In the field of remote sensing, several spaceborne radiometers and scatterometers, which have irregular
Harrison Garrett, David G. Long
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