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NAGtypes :: 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 (missing documentation) and solveSystem (missing documentation) is respected.
For the corresponding coordinates a and b (of two real 2n-vectors) a < b if b-a is larger than Tolerance.

i1 : needsPackage "NumericalAlgebraicGeometry"

o1 = NumericalAlgebraicGeometry

o1 : Package
i2 : R = CC[x,y];
i3 : s = solveSystem {x^2+y^2-1, x*y}

o3 = {{5.42342e-31-4.93038e-31*ii, -1}, {-5.42342e-31+4.93038e-31*ii, 1}, {1,
     ------------------------------------------------------------------------
     1.18329e-30+1.38051e-30*ii}, {-1, -1.18329e-30-1.38051e-30*ii}}

o3 : List
i4 : sortSolutions s

o4 = {{-1, -1.18329e-30-1.38051e-30*ii}, {5.42342e-31-4.93038e-31*ii, -1},
     ------------------------------------------------------------------------
     {-5.42342e-31+4.93038e-31*ii, 1}, {1, 1.18329e-30+1.38051e-30*ii}}

o4 : List

See also