Polynomial Algebra By Values Papers

Polynomial Algebra By Values

Polynomial Algebra by Values refers to doing polynomial algebra solely given the values of the polynomial---that is, working in the Lagrange basis. Several popular codes do this already, in certain circumstances (ode45 and ode15s in Matlab, for example, represent the piecewise polynomial interpolants they use in this way). The point of this research thread is to see how much we can do directly in the Lagrange basis, and why this is a good idea.