Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides View Full Text


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Article Info

DATE

1964-12

AUTHORS

W. Oettli, W. Prager

ABSTRACT

In the spirit ofWilkinson's [1, 2] backward error analysis, conditions are established under which a given approximate solution of a system ofn linear equations withn unknowns is the exact solution of a modified system whose coefficients and right-hand sides are within a given neighborhood of those of the original system.

PAGES

405-409

References to SciGraph publications

  • 1960-12. Error analysis of floating-point computation in NUMERISCHE MATHEMATIK
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01386090

    DOI

    http://dx.doi.org/10.1007/bf01386090

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1008849116


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