A q-difference version of the ε-algorithm

Yi He; Xing Biao Hu; Hon Wah Tam

doi:10.1088/1751-8113/42/9/095202

A q-difference version of the ε-algorithm

Yi He^*, Xing Biao Hu, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

14 Citations (Scopus)

Abstract

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 lim_t→∞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 language	English
Article number	095202
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Issue number	9
DOIs	https://doi.org/10.1088/1751-8113/42/9/095202
Publication status	Published - 2009

Scopus Subject Areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/42/9/095202

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title = "A q-difference version of the ε-algorithm",

abstract = "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.",

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AB - 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.

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U2 - 10.1088/1751-8113/42/9/095202

DO - 10.1088/1751-8113/42/9/095202

M3 - Journal article

AN - SCOPUS:68149125490

SN - 1751-8113

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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ER -

A q-difference version of the ε-algorithm

Abstract

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