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Abstract <p> Rounding errors inevitably occur when performing calculations on a computer. In thispaper, we study the impact of these errors on the accuracy of calculating the correction in theKrylov subspace. An estimate of the accuracy of the calculated correction, expressed viaperturbations of the original data, is obtained.</p>

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On the Influence of Disturbances on the Accuracy of Computing Corrections in the Krylov Subspace

  • 期刊论文

  • 发表日期：

    2025年11月2日

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  • V. P. Ilyin,
  • V. N. Babenko

摘要

Abstract

Rounding errors inevitably occur when performing calculations on a computer. In thispaper, we study the impact of these errors on the accuracy of calculating the correction in theKrylov subspace. An estimate of the accuracy of the calculated correction, expressed viaperturbations of the original data, is obtained.