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NumericalHilbert :: orthogonalInSubspace

orthogonalInSubspace -- Orthogonal of a space

Synopsis

Description

Computes the subspace of polynomial space T which is orthogonal to the dual space (or polynomial space) D.

i1 : R = CC[x,y];
i2 : T = polySpace matrix{{1,x,y}};
i3 : D = dualSpace(matrix{{x-y}}, origin R);
i4 : S = orthogonalInSubspace(D, T, 1e-6)

o4 = | .5x+.5y+.707107 .5x+.5y-.707107 |

o4 : PolySpace

Ways to use orthogonalInSubspace :