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NumericalAlgebraicGeometry :: sortSolutions(List)

sortSolutions(List) -- sort the list of solutions

Synopsis

Description

The sorting is done lexicographically regarding each complex n-vector as real 2n-vector. The output format of track and solveSystem is respected.
For the corresponding coordinates a and b (of two real 2n-vectors) a < b if b-a is larger than Tolerance.
i1 : R = CC[x,y];
i2 : s = solveSystem {x^2+y^2-1, x*y}

o2 = {{-2.84563e-16+2.51441e-16*ii, -1}, {2.84563e-16-2.52526e-16*ii, 1}, {1,
     ------------------------------------------------------------------------
     9.86953e-16-7.06213e-16*ii}, {-1, -9.86953e-16+7.06213e-16*ii}}

o2 : List
i3 : sortSolutions s

o3 = {{-1, -9.86953e-16+7.06213e-16*ii}, {-2.84563e-16+2.51441e-16*ii, -1},
     ------------------------------------------------------------------------
     {2.84563e-16-2.52526e-16*ii, 1}, {1, 9.86953e-16-7.06213e-16*ii}}

o3 : List