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(a) Find the roots of the function, f(r) = r – - 1, analytically up to 3 decimal places. (b) and determine if they will converge to any roots or not. (Make sure that one of the g(x) that you construct converges to a root (s). Construct 2 fixed point functions g(r), such that f(r) = 0. Also find their converging rate, A, (c) above function again using fixed point iterations accurate up to 3 decimal places. Using zo = 60, and the fixed point function g(r) that converges to the root(s), find the root of the

(a) Find the roots of the function, f(r) = r – - 1, analytically up to 3 decimal places. (b) and determine if they will converge to any roots or not. (Make sure that one of the g(x) that you construct converges to a root (s). Construct 2 fixed point functions g(r), such that f(r) = 0. Also find their converging rate, A, (c) above function again using fixed point iterations accurate up to 3 decimal places. Using zo = 60, and the fixed point function g(r) that converges to the root(s), find the root of the

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. (a) Find the roots of the function, f(x) = 2 - - 1, analytically up to 3 decimal places. (b) and determine if they will converge to any roots or not. (Make sure that one of the g(r) that you construct converges to a root (s). Construct 2 fixed point functions g(r), such that f(r) = 0. Also find their converging rate, A, Using ro = 60, and the fixed point funetion g(r) that converges to the root(s), find the root of the (c) above function aganin using fixed point iterations accurate up to 3 decimal places.
Transcribed Image Text:3. (a) Find the roots of the function, f(x) = 2 - - 1, analytically up to 3 decimal places. (b) and determine if they will converge to any roots or not. (Make sure that one of the g(r) that you construct converges to a root (s). Construct 2 fixed point functions g(r), such that f(r) = 0. Also find their converging rate, A, Using ro = 60, and the fixed point funetion g(r) that converges to the root(s), find the root of the (c) above function aganin using fixed point iterations accurate up to 3 decimal places.
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