Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.6 Iterations x, #37 · Calculus · Applications of derivatives

Find the multiplier … at each fixed point of

Find the multiplier $m$ at each fixed point of $x_{n + 1} = x_{n} - c (x_{n}^{2} - x_{n})$ . Predict the convergence for different $c$ (to which $x^{*}$ ?).

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.6 Iterations x, #37

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