Lec l4.2. Determme Upperbound bound for eror estimating SS pto l00th iteraion via Bisection up Method lon via Biseotion on Interval [l,4].
Lec l4.2. Determme Upperbound bound for eror estimating SS pto l00th iteraion via Bisection up Method lon via Biseotion on Interval [l,4].
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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![### Lecture 4.2: Determining the Upper Bound for Error Estimation of √5 Up to the 100th Iteration via Bisection Method on the Interval [1, 4]
In this lecture, we will focus on finding the upper bound for the error that occurs when estimating the square root of 5 using the bisection method. The process will be repeated up to the 100th iteration, and our interval of interest is [1, 4].
Key concepts to be covered:
- Understanding the bisection method for root-finding.
- Calculating the error bound after a specified number of iterations.
- Applying these concepts specifically to the interval [1, 4] to approximate √5.
By the end of the lecture, you should be able to:
1. Describe the bisection method and its application in approximating roots.
2. Determine the upper bound of error for the square root of 5 up to the 100th iteration.
3. Execute the bisection method on the given interval [1, 4].
No graphs or diagrams are included in this transcription.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc58b2eee-5b79-4c9d-923b-d4e913d44dbe%2Fda4a59df-302a-4e54-9c9f-ac4b00c684ae%2F8xu161f_processed.png&w=3840&q=75)
Transcribed Image Text:### Lecture 4.2: Determining the Upper Bound for Error Estimation of √5 Up to the 100th Iteration via Bisection Method on the Interval [1, 4]
In this lecture, we will focus on finding the upper bound for the error that occurs when estimating the square root of 5 using the bisection method. The process will be repeated up to the 100th iteration, and our interval of interest is [1, 4].
Key concepts to be covered:
- Understanding the bisection method for root-finding.
- Calculating the error bound after a specified number of iterations.
- Applying these concepts specifically to the interval [1, 4] to approximate √5.
By the end of the lecture, you should be able to:
1. Describe the bisection method and its application in approximating roots.
2. Determine the upper bound of error for the square root of 5 up to the 100th iteration.
3. Execute the bisection method on the given interval [1, 4].
No graphs or diagrams are included in this transcription.
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