How Many Real Attractive Fixed Points Can A Polynomial Have?
arXiv:1605.078593 citationsh-index: 24
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Provides a theoretical bound for the number of attractive fixed points of polynomials, relevant to complex dynamics and fixed point theory.
The paper proves that a complex polynomial of degree n has at most ⌈n/2⌉ attractive fixed points on a line, and also discusses the general case.
We prove a complex polynomial of degree $n$ has at most $\lceil n/2 \rceil$ attractive fixed points lying on a line. We also consider the general case.