New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamic system.

DOI10.1016/S0898-1221(02)00219-5zbMath1035.65040OpenAlexW2038195415MaRDI QIDQ1416320

Rong Shao, Yiran Zhu, Xin-Yuan Wu

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00219-5

zbMATH Keywords

PreconditionerIteration methodDynamic systemIll-conditioned system of linear equationsIterative improvement of solution

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (14)

A new iterative refinement with roundoff error analysis ⋮ Note on predictor-corrector process for ill-conditioned linear system of equations ⋮ Error analysis for the predictor-corrector process relating to ill-conditioned linear system of equations ⋮ Comprehensive study on complex-valued ZNN models activated by novel nonlinear functions for dynamic complex linear equations ⋮ A new iterative refinement of the solution of ill-conditioned linear system of equations ⋮ A new iterative refinement for ill-conditioned linear systems based on discrete gradient ⋮ On the iterative refinement of the solution of ill-conditioned linear system of equations ⋮ Improving the accuracy of the charge simulation method for numerical conformal mapping ⋮ An iterative method for symmetric positive semidefinite linear system of equations ⋮ Extended version with the analysis of dynamic system for iterative refinement of solution ⋮ A note on the pin-pointing solution of ill-conditioned linear system of equations ⋮ Iterative refinement of computing inverse matrix ⋮ Wilkinson's iterative refinement of solution with automatic step-size control for linear system of equations ⋮ Airfoil optimization design based on the pivot element weighting iterative method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetric decomposition of a positive definite matrix
• Numerical methods for solving linear least squares problems
• Iterative refinement of the solution of a positive definite system of equations
• A Unified Approach to Spurious Solutions Introduced by Time Discretisation. Part I: Basic Theory
• Unified approach to spurious solutions introduced by time discretization Part II: BDF-like methods
• Spurious solutions of numerical methods for initial value problems
• Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems
• ODE Recursions and Iterative Solvers for Linear Equations

This page was built for publication: New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamic system.