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D.8.2.9 triangLf_solve
Procedure from library solve.lib (see solve_lib).
- Usage:
- triangLf_solve(i [, p] ); i ideal, p integer,
p>0: gives precision of complex numbers in digits (default: p=30).
- Assume:
- the ground field has char 0; i is a zero-dimensional ideal
- Return:
- ring
R with the same number of variables but with complex
coefficients (and precision p). R comes with a list
rlist of numbers, in which the complex roots of i are stored.
- Note:
- The procedure uses a triangular system (Lazard's Algorithm with
factorization) computed from a standard basis to determine
recursively all complex roots of the input ideal i with Laguerre's
algorithm.
Example:
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