On the convergence of the quadratic method

Lyonell Boulton, Aatef Hobiny

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
30 Downloads (Pure)


The convergence of the so-called quadratic method for computing eigenvalue enclosures of general self-adjoint operators is examined. Explicit asymptotic bounds for convergence to isolated eigenvalues are found. These bounds turn out to improve signi?cantly upon those determined in previous investigations. The theory is illustrated by means of several numerical experiments performed on particularly simple benchmark models of one-dimensional Schrodinger operators.
Original languageEnglish
JournalIMA Journal of Numerical Analysis
Issue number4
Early online date14 Jul 2015
Publication statusPublished - Oct 2015


  • math.NA
  • 34L15, 35P15


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