5. Consider the trisection method, which is analogous to bisection except that at each iteration, it creates 3 intervals instead of 2 and keeps one interval where there is a sign change. (c) The main computational cost of bisection and trisection is function evalu- ations. The other operations it does are a few additions and divisions, but the evaluation of most functions, including sin, cos, exp, etc. are much more costly. Based on this information, explain why you would never want to use trisection over bisection.
5. Consider the trisection method, which is analogous to bisection except that at each iteration, it creates 3 intervals instead of 2 and keeps one interval where there is a sign change. (c) The main computational cost of bisection and trisection is function evalu- ations. The other operations it does are a few additions and divisions, but the evaluation of most functions, including sin, cos, exp, etc. are much more costly. Based on this information, explain why you would never want to use trisection over bisection.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
![5. Consider the trisection method, which is analogous to bisection except that at
each iteration, it creates 3 intervals instead of 2 and keeps one interval where there
is a sign change.
(c) The main computational cost of bisection and trisection is function evalu-
ations. The other operations it does are a few additions and divisions, but
the evaluation of most functions, including sin, cos, exp, etc. are much more
costly. Based on this information, explain why you would never want to use
trisection over bisection.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bccc854-4ebe-4194-97f1-969cd12e908e%2F078db6eb-e246-45ff-b3e5-6fba5b6dc1a9%2Fa29b8wk_processed.png&w=3840&q=75)
Transcribed Image Text:5. Consider the trisection method, which is analogous to bisection except that at
each iteration, it creates 3 intervals instead of 2 and keeps one interval where there
is a sign change.
(c) The main computational cost of bisection and trisection is function evalu-
ations. The other operations it does are a few additions and divisions, but
the evaluation of most functions, including sin, cos, exp, etc. are much more
costly. Based on this information, explain why you would never want to use
trisection over bisection.
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