A new variational result for quasi-Newton formulae

R. Fletcher (Lead / Corresponding author)

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


The recent measure function of Byrd and Nocedal [SIAM J. Numer. Anal., 26 (1989), pp. 727-739] is considered and simple proofs of some of its properties are given. It is then shown that the BFGS and DFP formulae satisfy a least change property with respect to this new measure.

Original languageEnglish
Pages (from-to)18-21
Number of pages4
JournalSIAM Journal on Optimization
Issue number1
Publication statusPublished - 1991


  • BFGS formula
  • DFP formula
  • Quasi-Newton method

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science


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