Consider the squaring iterations of complex numbers where the fixed point is zero. Without computing, the squares/iterations, would the following starting points yield a bounded or unbounded iteration? Explain your reasoning for each. a) 4 + 0.3i b) 0.1 + 0.3i c) 8/10 +6/10 i d) 3i
Consider the squaring iterations of complex numbers where the fixed point is zero. Without computing, the squares/iterations, would the following starting points yield a bounded or unbounded iteration? Explain your reasoning for each. a) 4 + 0.3i b) 0.1 + 0.3i c) 8/10 +6/10 i d) 3i
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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Question
Consider the squaring iterations of
a) 4 + 0.3i
b) 0.1 + 0.3i
c) 8/10 +6/10 i
d) 3i
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