Topic explanation

Standard explanation

Rewrite f(x)=0 as x=g(x), choose a start, and compute x(n+1)=g(xn).

Key points

• Fixed-point iteration
• rule
• worked example
• Fixed-point iteration: Rewrite f(x)=0 as x=g(x), choose a start, and compute x(n+1)=g(xn).
• CONCEPT AND RULE: Rewrite f(x)=0 as x=g(x), choose a start, and compute x(n+1)=g(xn).
• METHOD: For fixed-point iteration, identify the given information and required result. Select the matching d
• Rewrite f(x)=0 as x=g(x), choose a start, and compute x(n+1)=g(xn).
• Worked pattern: For x=cos x, start x0=.7 and repeatedly evaluate cosine in radians.

Labelled diagram