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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 = {{6.03972e-31, -1}, {-6.03972e-31, 1}, {1, 3.9443e-31+1.77494e-30*ii},
     ------------------------------------------------------------------------
     {-1, -3.9443e-31-1.57772e-30*ii}}

o3 : List
i4 : sortSolutions s

o4 = {{-1, -3.9443e-31-1.57772e-30*ii}, {6.03972e-31, -1}, {-6.03972e-31, 1},
     ------------------------------------------------------------------------
     {1, 3.9443e-31+1.77494e-30*ii}}

o4 : List

See also