Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jsc.2003.05.002
Title: Solving a class of higher-order equations over a group structure
Authors: Andrei, Ş. 
Chin, W.-N. 
Keywords: Higher-order equation
Mathematica
Symbolic computation
Issue Date: 2004
Source: Andrei, Ş., Chin, W.-N. (2004). Solving a class of higher-order equations over a group structure. Journal of Symbolic Computation 37 (3) : 329-341. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jsc.2003.05.002
Abstract: This paper proposes a new symbolic method for solving a class of higher-order equations with an unknown function over the complex domain. Our method exploits the closure property of group structure (for functions) in order to allow an equivalent system of equations to be expressed and solved in the first-order setting. Our work is an initial step towards the relatively unexplored realm of higher-order constraint solving, in general; and higher-order equational solving, in particular. We shall provide some theoretical background for the proposed method, and also prototype an implementation under Mathematica. © 2003 Elsevier Ltd. All rights reserved.
Source Title: Journal of Symbolic Computation
URI: http://scholarbank.nus.edu.sg/handle/10635/43048
ISSN: 07477171
DOI: 10.1016/j.jsc.2003.05.002
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