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Parametrized solutions of algebraic equations

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  • Winkler, Franz

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.

Suggested Citation

  • Winkler, Franz, 1996. "Parametrized solutions of algebraic equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 333-338.
    • Handle: RePEc:eee:matcom:v:42:y:1996:i:4:p:333-338
    DOI: 10.1016/S0378-4754(96)00007-9
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    Keywords

    Algebraic equations; Parametrization;

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