A q-difference version of the ε-algorithm

Yi He*, Xing Biao Hu, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

14 Citations (Scopus)


In this paper, a q-difference version of the ε-algorithm is proposed. By using determinant identities the solutions of an initial value problem thus arisen can be expressed as ratios of Hankel determinants. It is shown that in numerical analysis this algorithm can be used to compute the approximation limt→∞f(t), and in the field of integrable systems it could be viewed as the q-difference version of the modified Toda molecule equation.

Original languageEnglish
Article number095202
JournalJournal of Physics A: Mathematical and Theoretical
Issue number9
Publication statusPublished - 2009

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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