On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems
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Publication:5499972
DOI10.1137/140987936zbMath1317.65089OpenAlexW2125835361MaRDI QIDQ5499972
Miroslav Rozložnik, Zhong Zhi Bai
Publication date: 5 August 2015
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/cb0637f7957f51e2986fda1eb97ac0349f10ac74
Interval and finite arithmetic (65G30) Iterative numerical methods for linear systems (65F10) Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items (16)
Variable-parameter HSS methods for non-Hermitian positive definite linear systems ⋮ Improved CRI iteration methods for a class of complex symmetric linear systems ⋮ On the strong \(P\)-regular splitting iterative methods for non-Hermitian linear systems ⋮ AQTTTS-based iteration methods for weakly nonlinear systems with diagonal-plus-Toeplitz structure ⋮ Asynchronous iterations of HSS method for non-Hermitian linear systems ⋮ Minimum residual modified HSS iteration method for a class of complex symmetric linear systems ⋮ Stationary splitting iterative methods for the matrix equation \(AXB=C\) ⋮ Randomized block Kaczmarz methods with \(k\)-means clustering for solving large linear systems ⋮ On Greedy Randomized Kaczmarz Method for Solving Large Sparse Linear Systems ⋮ Additional Results on Convergence of Alternating Iterations Involving Rectangular Matrices ⋮ Minimum residual Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems ⋮ Modified two-step scale-splitting iteration method for solving complex symmetric linear systems ⋮ Two-stage iterations based on composite splittings for rectangular linear systems ⋮ Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems ⋮ Numerical algorithms for solving discrete Lyapunov tensor equation ⋮ A Partially Greedy Randomized Extended Gauss-Seidel Method for Solving Large Linear Systems
Uses Software
Cites Work
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- On preconditioned MHSS iteration methods for complex symmetric linear systems
- Modified HSS iteration methods for a class of complex symmetric linear systems
- \(H\)-splittings and two-stage iterative methods
- Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
- A class of two-stage iterative methods for systems of weakly nonlinear equations
- Rounding error analysis of two-stage iterative methods for large linear systems
- On the convergence of additive and multiplicative splitting iterations for systems of linear equations
- On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
- Limiting accuracy of segregated solution methods for nonsymmetric saddle point problems
- Convergence of nested classical iterative methods for linear systems
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Maximum Attainable Accuracy of Inexact Saddle Point Solvers
- Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Inexact Krylov Subspace Methods for Linear Systems
- Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
- Accuracy and Stability of Numerical Algorithms
- Real valued iterative methods for solving complex symmetric linear systems
- Rounding Errors in Alternating Direction Methods for Parabolic Problems
- On the Convergence of Two-Stage Iterative Processes for Solving Linear Equations
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