Parametrized solutions of algebraic equations

Franz Winkler

Mathematics and Computers in Simulation (MATCOM), 1996, vol. 42, issue 4, 333-338

Abstract: In solving systems of algebraic equations we encounter basically two different situations. If the solution space is zero-dimensional we can list the finitely many solutions. This approach, however, fails if the dimension of the solution space is non-zero. We propose to use a parametrized representation for this situation, i.e. the solutions are represented by a birational map with ground coefficients onto an affine or projective linear hypersurface.

Keywords: Algebraic equations; Parametrization (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:42:y:1996:i:4:p:333-338

DOI: 10.1016/S0378-4754(96)00007-9

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