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Experiments with data perturbations to study condition numbers and numerical stability

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Publication:1308502
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DOI10.1007/BF02243827zbMath0787.65026MaRDI QIDQ1308502

V. Pereyra

Publication date: 26 May 1994

Published in: Computing (Search for Journal in Brave)


zbMATH Keywords

regularitycondition numbernumerical stabilityrounding errorsinterval of perturbationslog-linear least squares fit


Mathematics Subject Classification ID

Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35) Complexity and performance of numerical algorithms (65Y20)



Uses Software

  • LAPACK
  • CLAPACK


Cites Work

  • Review on stochastic approach to round-off error analysis and its applications
  • A Survey of Condition Number Estimation for Triangular Matrices
  • Effectively Well-Conditioned Linear Systems
  • Software for roundoff analysis, II
  • Solving Sparse Linear Systems with Sparse Backward Error
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