Question: Given a function f : R + R, real values a 0, the bisection method computes a sequence C1,C2, ... such that + c as

 Given a function f : R + R, real values a

Given a function f : R + R, real values a 0, the bisection method computes a sequence C1,C2, ... such that + c as n +, where ce [a, b] with f(c) = 0. The algorithm stops when it finds some n e N such that - St. The bisection method computes the sequence by repeatedly bisecting the interval [a, b], hence the name. The algorithm can be expressed in pseudocode as follows. INPUT real-valued function f, a 0 OUTPUT real number 4 with Incl Se for some root c off SET , TO SET 6 TO SET , TO 1 WHILE bm- an>E SET CTO (Or+an)/2 IF f(c)=0 SET an+1 TO en SET bm+1 TOC ELSE IF f(an) f(en) 0, the bisection method computes a sequence C1,C2, ... such that + c as n +, where ce [a, b] with f(c) = 0. The algorithm stops when it finds some n e N such that - St. The bisection method computes the sequence by repeatedly bisecting the interval [a, b], hence the name. The algorithm can be expressed in pseudocode as follows. INPUT real-valued function f, a 0 OUTPUT real number 4 with Incl Se for some root c off SET , TO SET 6 TO SET , TO 1 WHILE bm- an>E SET CTO (Or+an)/2 IF f(c)=0 SET an+1 TO en SET bm+1 TOC ELSE IF f(an) f(en)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!