next | previous | forward | backward | up | top | index | toc | Macaulay2 web site

solveSystem(List) -- solve a square system of polynomial equations

Synopsis

Description

Solve a system of polynomial equations using homotopy continuation methods.
i1 : R = CC[x,y];
i2 : F = {x^2+y^2-1, x*y};
i3 : solveSystem F / first                                

o3 = {{3.87119e-16+5.3023e-16*ii, -1}, {-1, 1.24571e-15+1.14085e-16*ii}, {1,
     ------------------------------------------------------------------------
     -1.24571e-15-1.14085e-16*ii}, {-3.87119e-16-5.3023e-16*ii, 1}}

o3 : List

Caveat

The system is assumed to be square (#equations = #variables) and have finitely many solutions.