
#1
Jun2410, 08:23 AM

P: 82

Hi, I'm reading about polynomials and I've encountered a method called nested scheme.
The tragedy is that my math book usually has no rigorous definitions and sometimes lacks definitions. My book is only stating that nested scheme is a method for evaluating polynomials, and thereafter it continues with two examples. It does not provide an explanation. I cannot find any proper link, for nested scheme, in google. Can you teach me the very basics, and that should be sufficient for the understanding of more advanced topics... Thanks for help... 



#2
Jun2410, 09:38 AM

Mentor
P: 20,997

This sounds like something that is called Horner scheme, a technique for evaluating polynomials efficiently.
For example, f(x) = 2x^{3}  6x^{2} + 2x  1 can be rewritten as f(x) = x(x(2x  6) + 2)  1. More information here  http://en.wikipedia.org/wiki/Horner_scheme 



#3
Jun2510, 12:21 PM

P: 82

Thanks...



Register to reply 
Related Discussions  
Nested radicals  General Math  5  
old and young,young and old and old and young  General Discussion  4  
C++  Nested Classes  Programming & Computer Science  3  
Nested Familiy  Set Theory, Logic, Probability, Statistics  1  
Nested series  Calculus  9 