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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 = {{1, -1.13149e-15-1.08435e-15*ii}, {-1, 1.13149e-15+1.08435e-15*ii},
     ------------------------------------------------------------------------
     {8.7819e-16+1.80817e-15*ii, 1}, {-8.7819e-16-1.80817e-15*ii, -1}}

o2 : List
i3 : sortSolutions s

o3 = {{-1, 1.13149e-15+1.08435e-15*ii}, {-8.7819e-16-1.80817e-15*ii, -1},
     ------------------------------------------------------------------------
     {8.7819e-16+1.80817e-15*ii, 1}, {1, -1.13149e-15-1.08435e-15*ii}}

o3 : List