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Residual replacement strategies for Krylov subspace iterative methods for the convergence of true residuals. (English) Zbl 0983.65039

This paper presents a residual replacement scheme for improving the convergence in finite-precision Krylov subspace methods to solve linear systems. The new scheme replaces the approximate residual with the true residual intermittently. It is simple and can be added to existing Krylov subspace iterative solvers to improve convergence. An error analysis and numerical tests are included.
Reviewer: F.Uhlig (Auburn)

MSC:

65F10 Iterative numerical methods for linear systems
65G50 Roundoff error
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