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Hermite Polynomial:  (THERE ARE NO CALCULATIONS IN THIS QUESTION – ALGORITHM BASED ANSWERS!)  The Hermite Polynomial is an extension of the LaGrange Polynomial Interpolation, designed to reduce the runtime of LaGrange while also reducing the degree of error.    a) What is the runtime and error associated with LaGrange Polynomial Interpolation?  Explain your answer!    b) How does the Hermite Polynomial Hi(x) improve on Li(x)?  Be specific in your answer.

Hermite Polynomial:  (THERE ARE NO CALCULATIONS IN THIS QUESTION – ALGORITHM BASED ANSWERS!)  The Hermite Polynomial is an extension of the LaGrange Polynomial Interpolation, designed to reduce the runtime of LaGrange while also reducing the degree of error.    a) What is the runtime and error associated with LaGrange Polynomial Interpolation?  Explain your answer!    b) How does the Hermite Polynomial Hi(x) improve on Li(x)?  Be specific in your answer.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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  1. Hermite Polynomial: 

(THERE ARE NO CALCULATIONS IN THIS QUESTION – ALGORITHM BASED ANSWERS!) 
The Hermite Polynomial is an extension of the LaGrange Polynomial Interpolation, designed to reduce the runtime of LaGrange while also reducing the degree of error. 
 
a) What is the runtime and error associated with LaGrange Polynomial Interpolation? 
Explain your answer! 
 
b) How does the Hermite Polynomial Hi(x) improve on Li(x)?  Be specific in your answer.

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