Use the following Newton - Raphson algorithm to determine the root of the function: f(x) =...

 

Transcribed Image Text:

Use the following Newton - Raphson algorithm to determine the root of the function: f(x) = x3- 6x2 + 11x - 6 with initial value xo = 2.5 and absolute relative error of ɛ = 10*. ALGORITHM: Newton - Raphson Inputs: f(r) - The given function - The initial approximation - The error tolerance - The maximum number of iterations Output: An approximation to the root z or a message of failure. Assumption: I= is a simple root of f(r). For k 0, 1. --- do until convergence or falure. • Compute f(r). S (zx). • Compute IL+1 = Ix - • Test for convergence or failure: If () <e stopping criteria. or or k N. Stop. Use the following Newton - Raphson algorithm to determine the root of the function: f(x) = x3- 6x2 + 11x - 6 with initial value xo = 2.5 and absolute relative error of ɛ = 10*. ALGORITHM: Newton - Raphson Inputs: f(r) - The given function - The initial approximation - The error tolerance - The maximum number of iterations Output: An approximation to the root z or a message of failure. Assumption: I= is a simple root of f(r). For k 0, 1. --- do until convergence or falure. • Compute f(r). S (zx). • Compute IL+1 = Ix - • Test for convergence or failure: If () <e stopping criteria. or or k N. Stop.

Answer rating: 100% (QA)

I have used MATLAB help to determne the roots near 25 The algo... View the full answer