Accurate Evaluation of Polynomials in Legendre Basis

Figure 3

Accuracy of evaluation of polynomial converted from 𝑝(𝑥)=(𝑥−0.75)⁷(𝑥−1)¹¹ by the 𝐷𝐷𝐶𝑜𝑛𝑣𝑒𝑟𝑡 algorithm in Legendre basis with respect to the condition number.