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Extended Convergence of Two Multi-Step Iterative Methods
Foundations, 2023 Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. A plethora of applications in chemistry and physics require the solution of
Samundra Regmi +3 more
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Convergence of Iterative Methods [PDF]
Progress of Theoretical Physics, 1953 For various iterative methods in eigenvalue problem which are used to solve the bound states and scattering problems, we introduce the coefficient of convergency which ·indicates not only the convergency condition when the iteration is performed endlessly, but also the efficiency of successive approximation for· any finite step.
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Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations [PDF]
, 1991 Elsner L, Mehrmann V. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik.
Mehrmann, Volker, Elsner, Ludwig
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Dynamics of a higher-order family of iterative methods [PDF]
, 2011 We study the dynamics of a higher-order family of iterative methods for solving non-linear equations. We show that these iterative root-finding methods are generally convergent when extracting radicals.
Honorato, G. [0009-0006-1647-5600] +7 more
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Iterative methods for solving fourth‐ and sixth‐order time‐fractional Cahn‐Hillard equation
Mathematical methods in the applied sciences, 2019 This paper presents analytical‐approximate solutions of the time‐fractional Cahn‐Hilliard (TFCH) equations of fourth and sixth order using the new iterative method (NIM) and q‐homotopy analysis method (q‐HAM).
Lanre Akinyemi, O. Iyiola, Udoh Akpan
semanticscholar +1 more source
Fast iterative solvers for PDE-constrained optimization problems [PDF]
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
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Iterative Methods for Computing Vibrational Spectra
Mathematics, 2018 I review some computational methods for calculating vibrational spectra. They all use iterative eigensolvers to compute eigenvalues of a Hamiltonian matrix by evaluating matrix-vector products (MVPs). A direct-product basis can be used for molecules with
Tucker Carrington
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On iterative methods for bilevel equilibrium problems
Journal of Inequalities and Applications, 2021 We use the notion of Halpern-type sequence recently introduced by the present authors to conclude two strong convergence theorems for solving the bilevel equilibrium problems proposed by Yuying et al. and some authors.
Chanitnan Jaipranop, Satit Saejung
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SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS
Tạp chí Khoa học Đại học Đà Lạt, 2012 In this paper we present two new extensions of Korpelevich's extragraclient method for solving the scalar Quasi-Equilibrium Problem (QEP) in Euclidean space.
Jean Jacques Strodiot +2 more
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Improved iterative methods for solving risk parity portfolio [PDF]
Seonmul yeongu, 2022 Risk parity, also known as equal risk contribution, has recently gained increasing attention as a portfolio allocation method. However, solving portfolio weights must resort to numerical methods as the analytic solution is not available.
Jaehyuk Choi, Rong Chen
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