This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | |||
gibson:teaching:fall-2016:math753:horner [2016/11/11 11:36] gibson |
gibson:teaching:fall-2016:math753:horner [2016/11/11 11:37] (current) gibson |
||
---|---|---|---|
Line 17: | Line 17: | ||
\end{equation*} | \end{equation*} | ||
- | evaluation only requires 4 adds and 4 multiplies. It's easy to see that these are the same polynmial, just written differently. The approach generalizes to arbitrary-order polynomials, and the payoff gets bigger as the order of the polynomial increases. | + | evaluation only requires 4 adds and 4 multiplies. It's easy to see that these are just two different ways of writing the exact same polynomial. The approach generalizes to arbitrary-order polynomials, and the payoff gets bigger as the order of the polynomial increases. |
=== Horner's method with base points === | === Horner's method with base points === |