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A new approach to solving algebraic systems by means of sub-definite models. (English) Zbl 0805.65050

Henry, Jacques (ed.) et al., System modelling and optimization. Proceedings of the 16th IFIP-TC7 conference, Compiègne, France, July 5-9, 1993. London: Springer-Verlag. Lect. Notes Control Inf. Sci. 197, 355-364 (1994).
Summary: This paper describes a novel approach to solving systems of algebraic equations and inequalities that is based on subdefinite calculations. The use of these methods makes it possible to solve overdetermined and underdetermined systems, as well as systems with imprecise and incomplete data. The UniCalc solver, also described in this paper, was developed on the basis of this approach. To illustrate the capabilities of UniCalc, we give examples of problems solved with its help.
For the entire collection see [Zbl 0799.00038].

MSC:

65H10 Numerical computation of solutions to systems of equations
65K05 Numerical mathematical programming methods

Software:

UniCalc
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