Suppose that g is continuously differentiable on some interval (c, d) that contains the fixed point p

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Suppose that g is continuously differentiable on some interval (c, d) that contains the fixed point p of g. Show that if |g'( p)| < 1, then there exists a δ > 0 such that if |p0 − p| ≤ δ, then the fixed-point iteration converges.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:33 AM

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Suppose that g is continuously differentiable on some interval (c, d) that contains the fixed point p

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Numerical Analysis

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