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2016
Linear systems of equations resulting from finite element discretizations of partial differential equations are typically large, sparse, and ill-conditioned. Their efficient numerical solution exploits properties of the underlying continuous problem or a sequence of discretizations.
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Linear systems of equations resulting from finite element discretizations of partial differential equations are typically large, sparse, and ill-conditioned. Their efficient numerical solution exploits properties of the underlying continuous problem or a sequence of discretizations.
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1994
The semi-iteration comes in three formulations. The first one in Section 8.1 is the most general and associates each semi-iterate with a polynomial. Using the notion of Krylov spaces, we only require that the errors of the semi-iterates \(y^{m}\) be elements of the Krylov space \(x^{0}+N\mathcal {K}_{m}(AN,r^{0})\). In the second formulation of Section
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The semi-iteration comes in three formulations. The first one in Section 8.1 is the most general and associates each semi-iterate with a polynomial. Using the notion of Krylov spaces, we only require that the errors of the semi-iterates \(y^{m}\) be elements of the Krylov space \(x^{0}+N\mathcal {K}_{m}(AN,r^{0})\). In the second formulation of Section
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Bayesian-Based Iterative Method of Image Restoration
, 1972W. Richardson
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A derivative-free iterative method for nonlinear monotone equations with convex constraints
Numerical Algorithms, 2018Jin-kui Liu, Yuming Feng
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On the positivity of iterative methods
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös nominatae. Sectio computatorica, 2000Summary: We study the positivity of some vector sequences produced by given vector-iteration. In our investgation we apply the well-known power method. We give some sufficient conditions of the positivity of the generated vector sequence depending both on the initial vector and on the matrix of the iteration.
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Nonlinear Analysis: Theory, Methods & Applications, 1997
Convergence results for the class of \(H\)-matrices and for the Jacobi and the Gauss-Seidel double successive overrelaxation methods are proved.
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Convergence results for the class of \(H\)-matrices and for the Jacobi and the Gauss-Seidel double successive overrelaxation methods are proved.
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Iterative method with inertial for variational inequalities in Hilbert spaces
Calcolo, 2018Y. Shehu, P. Cholamjiak
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Operator trigonometry of iterative methods
Numerical Linear Algebra with Applications, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Subspace-Based Distorted-Born Iterative Method for Solving Inverse Scattering Problems
IEEE Transactions on Antennas and Propagation, 2017Xiuzhu Ye, Xudong Chen
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