Iterative methods for linear systems of equations: A brief historical journey
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Publication:4998638
DOI10.1090/conm/754/15141zbMath1477.65063arXiv1908.01083OpenAlexW3046607066MaRDI QIDQ4998638
Publication date: 9 July 2021
Published in: 75 Years of Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01083
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On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations, Efficient Algebraic Two-Level Schwarz Preconditioner for Sparse Matrices, Reuben Louis Rosenberg (1909--1986) and the Stein-Rosenberg theorem, Structure and approximation properties of Laplacian-like matrices, GMRES algorithms over 35 years, Asynchronous Richardson iterations: theory and practice
Uses Software
Cites Work
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- Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen
- Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
- A survey of preconditioned iterative methods for linear systems of algebraic equations
- A generalized conjugate gradient, least square method
- Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations
- Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
- Some convergence results for asynchronous algorithms
- QMR: A quasi-minimal residual method for non-Hermitian linear systems
- A historical overview of iterative methods
- BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
- The origin of the method of steepest descent
- Iterative solution of linear systems in the 20th century
- On asynchronous iterations
- Contractive mappings with maximum norms: Comparison of constants of contraction and application to asynchronous iterations
- Asynchronous optimized Schwarz methods with and without overlap
- Chaotic relaxation
- Distributed Asynchronous Relaxation Methods for Convex Network Flow Problems
- Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
- A Comparison of the Successive Overrelaxation Method and Semi-Iterative Methods Using Chebyshev Polynomials
- Relaxation methods for linear equations
- The Use of Linear Graphs in Gauss Elimination
- A Study of a Numerical Solution to a Two-Dimensional Hydrodynamical Problem
- Résolution parallèle de problèmes aux limites non linéaires
- M-Functions and Parallel Asynchronous Algorithms
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
- The Evolution of the Minimum Degree Ordering Algorithm
- Some History of the Conjugate Gradient and Lanczos Algorithms: 1948–1976
- Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
- Algorithmic Aspects of Vertex Elimination on Graphs
- Asynchronous Iterative Methods for Multiprocessors
- Algorithmic Aspects of Vertex Elimination on Directed Graphs
- A Quasi-Minimal Residual Variant of the Bi-CGSTAB Algorithm for Nonsymmetric Systems
- A new class of asynchronous iterative algorithms with order intervals
- A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
- Approximate solution of systems of linear equations†
- A SHORT ACCOUNT OF RELAXATION METHODS
- Relaxation methods applied to engineering problems XIV. Plastic straining in two-dimensional stress-systems
- Use of Tschebyscheff-Polynomial Operators in the Numerical Solution of Boundary-Value Problems
- Solving linear algebraic equations can be interesting
- Relaxation methods applied to engineering problems - Biharmonic analysis as applied to the flexure and extension of flat elastic plates
- Relaxation methods applied to engineering problems IX. High-speed flow of compressible fluid through a two-dimensional nozzle
- RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER
- On the Numerical Solution of Elliptic Difference Equations
- Large-Scale Scientific Computing
