1 The tolerance, tol, of the solution in the bisection method is given by tol = (b,-4.), where a, and are the endpoints of the interval after the nth iteration. The number of iterations n that are required for btaining a solution with a tolerance that is equal to or smaller than a specified tolerance can be determined efore the solution is calculated. Show that n is given by: nz log(b-a)– log(tol) Tog2 vhere a and b are the endpoints of the starting interval and tol is a user-specified tolerance.

1 The tolerance, tol, of the solution in the bisection method is given by tol = (b,-4.), where a, and are the endpoints of the interval after the nth iteration. The number of iterations n that are required for btaining a solution with a tolerance that is equal to or smaller than a specified tolerance can be determined efore the solution is calculated. Show that n is given by: nz log(b-a)– log(tol) Tog2 vhere a and b are the endpoints of the starting interval and tol is a user-specified tolerance.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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