Journal of Applied Mathematics / 2012 / Article / Tab 3

Research Article

Approximate Implicitization Using Linear Algebra

Table 3

A qualitative comparison of the algorithms. The least squares and uniform columns refer to how well the algorithms perform in terms of producing such approximations in the algebraic error function.

Least squares Uniform Stability Generality

Lagrange Good Ok Ok Any
Legendre Very good Good Ok Rational
Chebyshev Very good Very good Ok Rational
Bernstein Ok Ok Very good Rational
Weak Very good Ok Very bad Integrable

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