A new iterative refinement with roundoff error analysis
Copyright policy )A new iterative refinement with roundoff error analysis
AbstractIn this paper we present a novel improvement of Wilkinson's iterative refinement for the solution of linear system by using stability results of numerical solution for a dynamic system associated with the linear system. The convergence analysis is shown and roundoff error analysis is considered for this new refinement. Numerical experiments are accompanied to support our analysis. Copyright © 2010 John Wiley & Sons, Ltd.
- Nanjing University China (People's Republic of)
- Nanjing University China (People's Republic of)
Iterative numerical methods for linear systems, convergence, Roundoff error, iterative refinement, dynamic system, ill-conditioned system, Direct numerical methods for linear systems and matrix inversion, A-stability, numerical experiments, roundoff error analysis
Iterative numerical methods for linear systems, convergence, Roundoff error, iterative refinement, dynamic system, ill-conditioned system, Direct numerical methods for linear systems and matrix inversion, A-stability, numerical experiments, roundoff error analysis
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