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Assume that g(x) is continuously differentiable and that the Fixed-Point Iteration g(x) has exactly three fixed points, r₁ < r2 < r3. Assume also that |g' (r₁)| = 0.5 and |g' (r3)| = 0.5. List all values of g (r₂)| that are possible under these conditions.

Assume that g(x) is continuously differentiable and that the Fixed-Point Iteration g(x) has exactly three fixed points, r₁ < r2 < r3. Assume also that |g' (r₁)| = 0.5 and |g' (r3)| = 0.5. List all values of g (r₂)| that are possible under these conditions.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assume that g(x) is continuously differentiable and that the Fixed-Point Iteration g(x) has exactly three fixed points, r1 < r2 < r3. Assume also that |g'(r1)|= 0.5 and |g'(r3)| = 0.5. List all values of g' (r2)| that are possible under these conditions.
Transcribed Image Text:Assume that g(x) is continuously differentiable and that the Fixed-Point Iteration g(x) has exactly three fixed points, r1 < r2 < r3. Assume also that |g'(r1)|= 0.5 and |g'(r3)| = 0.5. List all values of g' (r2)| that are possible under these conditions.
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