NumericalHilbert : Index
- adjointMatrix -- Conjugate transpose of a complex matrix
- adjointMatrix(Matrix) -- Conjugate transpose of a complex matrix
- BM -- Mourrain algorithm for dual space computation
- colReduce -- Column reduces a matrix
- colReduce(Matrix,Number) -- Column reduces a matrix
- DZ -- Macaulay matrix algorithm for dual space computation
- eliminatingDual -- eliminating dual space of a polynomial ideal
- eliminatingDual(..., Tolerance => ...) -- optional argument for numerical tolernace
- eliminatingDual(Point,Ideal,List,ZZ) -- eliminating dual space of a polynomial ideal
- eliminatingDual(Point,Matrix,List,ZZ) -- eliminating dual space of a polynomial ideal
- gCorners -- generators of the initial ideal of a polynomial ideal
- gCorners(..., ProduceSB => ...) -- generators of the initial ideal of a polynomial ideal
- gCorners(..., Strategy => ...) -- optional argument for dual space algorithm
- gCorners(..., Tolerance => ...) -- optional argument for numerical tolernace
- gCorners(Point,Ideal) -- generators of the initial ideal of a polynomial ideal
- gCorners(Point,Matrix) -- generators of the initial ideal of a polynomial ideal
- innerProduct -- Applies dual space functionals to polynomials
- innerProduct(PolySpace,DualSpace) -- Applies dual space functionals to polynomials
- innerProduct(PolySpace,PolySpace) -- Applies dual space functionals to polynomials
- innerProduct(PolySpace,RingElement) -- Applies dual space functionals to polynomials
- innerProduct(RingElement,DualSpace) -- Applies dual space functionals to polynomials
- innerProduct(RingElement,RingElement) -- Applies dual space functionals to polynomials
- localHilbertRegularity -- regularity of the local Hilbert function of a polynomial ideal
- localHilbertRegularity(..., Tolerance => ...) -- optional argument for numerical tolernace
- localHilbertRegularity(Point,Ideal) -- regularity of the local Hilbert function of a polynomial ideal
- localHilbertRegularity(Point,Matrix) -- regularity of the local Hilbert function of a polynomial ideal
- NumericalHilbert -- numerically compute local dual space and Hilbert functions
- numericalImage -- Image of a matrix
- numericalImage(Matrix,Number) -- Image of a matrix
- numericalKernel -- Kernel of a matrix
- numericalKernel(Matrix,Number) -- Kernel of a matrix
- orthogonalInSubspace -- Orthogonal of a space
- orthogonalInSubspace(DualSpace,PolySpace,Number) -- Orthogonal of a space
- orthogonalInSubspace(PolySpace,PolySpace,Number) -- Orthogonal of a space
- ProduceSB -- generators of the initial ideal of a polynomial ideal
- reduceSpace -- reduce the generators of a space
- reduceSpace(..., Monomials => ...) -- reduce the generators of a space
- reduceSpace(..., Tolerance => ...) -- optional argument for numerical tolernace
- reduceSpace(DualSpace) -- reduce the generators of a space
- reduceSpace(PolySpace) -- reduce the generators of a space
- sCorners -- socle corners of a monomial ideal
- sCorners(Matrix) -- socle corners of a monomial ideal
- sCorners(MonomialIdeal) -- socle corners of a monomial ideal
- Strategy (NumericalHilbert) -- optional argument for dual space algorithm
- Tolerance (NumericalHilbert) -- optional argument for numerical tolernace
- truncate(DualSpace,List,ZZ) -- truncate a polynomial space or dual space
- truncate(DualSpace,ZZ) -- truncate a polynomial space or dual space
- truncate(PolySpace,List,ZZ) -- truncate a polynomial space or dual space
- truncate(PolySpace,ZZ) -- truncate a polynomial space or dual space
- truncatedDual -- truncated dual space of a polynomial ideal
- truncatedDual(..., Strategy => ...) -- optional argument for dual space algorithm
- truncatedDual(..., Tolerance => ...) -- optional argument for numerical tolernace
- truncatedDual(Point,Ideal,ZZ) -- truncated dual space of a polynomial ideal
- truncatedDual(Point,Matrix,ZZ) -- truncated dual space of a polynomial ideal
- zeroDimensionalDual -- dual space of a zero-dimensional polynomial ideal
- zeroDimensionalDual(..., Strategy => ...) -- optional argument for dual space algorithm
- zeroDimensionalDual(..., Tolerance => ...) -- optional argument for numerical tolernace
- zeroDimensionalDual(Point,Ideal) -- dual space of a zero-dimensional polynomial ideal
- zeroDimensionalDual(Point,Matrix) -- dual space of a zero-dimensional polynomial ideal