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The iteration Xn+1 = 2 – (1+c)xn + cx, will converge to a = 1 for some values of c (provided that xo is chosen sufficiently close to a). Find the values of c for which convergence occurs. For what values of c, if any, will the convergence be quadratic? -

The iteration Xn+1 = 2 – (1+c)xn + cx, will converge to a = 1 for some values of c (provided that xo is chosen sufficiently close to a). Find the values of c for which convergence occurs. For what values of c, if any, will the convergence be quadratic? -

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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11. The iteration x+1 = 2 – (1+c)xn +cx, will converge to a = 1 for some values of c (provided that xo is chosen sufficiently close to a). Find the values of c for which convergence occurs. For what values of c, if any, will the convergence be quadratic? -
Transcribed Image Text:11. The iteration x+1 = 2 – (1+c)xn +cx, will converge to a = 1 for some values of c (provided that xo is chosen sufficiently close to a). Find the values of c for which convergence occurs. For what values of c, if any, will the convergence be quadratic? -
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