Bernstein Tensor product polynomials

These polynomials are represented as an array of coefficients in the tensor product Bernstein basis.

The corresponding type is Polynomial Bernstein C, where C is the type of coefficients. The coefficients C should be a field. Here we describe the main functionnalities available for these polynomials.

Mmx]	use "realroot"

Mmx]	R := QQ['x,'y,'z ]

Mmx]	B := bernstein R

Mmx]	b := B << "x^2+x+1"

Mmx]	type(b:> Generic)

Mmx]	coefficients b

Mmx]

b2 := b*b

Mmx]	coefficients(b2)

Mmx]	diff(b2,0)

Mmx]	b3 := B<<"x*y^2+x-5"

Mmx]	coefficients b3

Mmx]	coefficients (b3, 0)

Mmx]