Confluent form of the multistep ɛ-algorithm, and the relevant integrable system

Claude Brezinski; Yi He; Xing Biao Hu; Jian Qing Sun; Hon Wah Tam

doi:10.1111/j.1467-9590.2011.00518.x

Confluent form of the multistep ɛ-algorithm, and the relevant integrable system

Claude Brezinski
, Yi He
, Xing Biao Hu
, Jian Qing Sun^*
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

9 Citations (Scopus)

Abstract

In this paper, the confluent form of the multistep e{open}-algorithm is proposed. The molecule solution of this system is derived by using determinantal identities. A new continuous prediction algorithm based on this confluent form is constructed. It also shows that this algorithm is a special case of the extended Lotka-Volterra system.

Original language	English
Pages (from-to)	191-209
Number of pages	19
Journal	Studies in Applied Mathematics
Volume	127
Issue number	2
DOIs	https://doi.org/10.1111/j.1467-9590.2011.00518.x
Publication status	Published - Aug 2011

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10.1111/j.1467-9590.2011.00518.x

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title = "Confluent form of the multistep ɛ-algorithm, and the relevant integrable system",

abstract = "In this paper, the confluent form of the multistep e\{open\}-algorithm is proposed. The molecule solution of this system is derived by using determinantal identities. A new continuous prediction algorithm based on this confluent form is constructed. It also shows that this algorithm is a special case of the extended Lotka-Volterra system.",

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AU - Brezinski, Claude

AU - He, Yi

AU - Hu, Xing Biao

AU - Sun, Jian Qing

AU - Tam, Hon Wah

PY - 2011/8

Y1 - 2011/8

N2 - In this paper, the confluent form of the multistep e{open}-algorithm is proposed. The molecule solution of this system is derived by using determinantal identities. A new continuous prediction algorithm based on this confluent form is constructed. It also shows that this algorithm is a special case of the extended Lotka-Volterra system.

AB - In this paper, the confluent form of the multistep e{open}-algorithm is proposed. The molecule solution of this system is derived by using determinantal identities. A new continuous prediction algorithm based on this confluent form is constructed. It also shows that this algorithm is a special case of the extended Lotka-Volterra system.

UR - https://www.scopus.com/pages/publications/79961208241

U2 - 10.1111/j.1467-9590.2011.00518.x

DO - 10.1111/j.1467-9590.2011.00518.x

M3 - Journal article

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SP - 191

EP - 209

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 2

ER -

Confluent form of the multistep ɛ-algorithm, and the relevant integrable system

Abstract

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