A test for cancellation errors in quasi-Newton methods

  • Authors:
  • Chaya Gurwitz

  • Affiliations:
  • Brooklyn College, City Univ. of New York, Brooklyn, NY

  • Venue:
  • ACM Transactions on Mathematical Software (TOMS)
  • Year:
  • 1992

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Abstract

It has recently been shown that cancellation errors in a quasi-Newton method can increase without bound as the method converges. A simple test is presented to determine when cancellation errors could lead to significant contamination of the approximating matrix.