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Fixed-Point Iteration: For what constant does it converge?

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#fixed-point-iteration
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Why does the logistic map $x_{n+1}=r x_n(1-x_n)$, with $x_0\in (0,1]$, diverge for $r>3$?

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#dynamical-systems #fixed-point-iteration #chaos-theory
435
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Functions for fixed-point iteration on a nonlinear system of equations

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#systems-of-equations #fixed-point-iteration
110
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Fixed point iteration on open interval proof

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#fixed-point-iteration
37
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Why all the sequences associated to the values of the main cardioid of the Mandelbrot set tend to the attractive fixpoint?

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#complex-analysis #fixed-point-iteration
724
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does this Newton-like iterative root finding method based on the hyperbolic tangent function have a name?

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#convergence-divergence #fixed-point-theorems #newton-raphson #fixed-point-iteration #banach-fixed-point
1.1k
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Why Newton's method converges to second root in parabola?

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#numerical-methods #graphing-functions #newton-raphson #fixed-point-iteration
35
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$A,B$ coefficients for maximal convergence

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#numerical-methods #fixed-point-theorems #fixed-point-iteration
379
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is it ever possible for a sequence of real-valued smooth, non-diffeomorphic functions in $\mathbb{R}$ to jump across a repulsive fixed-point?

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#fixed-point-theorems #fixed-point-iteration #banach-fixed-point
170
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fixed-point iteration started exactly mid-way betwen a complex conjugate pair of fixed-points

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#fixed-point-theorems #fixed-point-iteration #banach-fixed-point
111
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Local rate of convergence for fixed point iteration with unique statonary point implies global?

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#fixed-point-iteration #rate-of-convergence
191
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Is "indeterminate" a better name than "indifferent" for neutral fixed-points?

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#dynamical-systems #fixed-point-theorems #complex-dynamics #fixed-point-iteration
650
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how many known classifications and types of indifferent fixed-points are there?

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#fixed-point-theorems #complex-dynamics #fixed-point-iteration
27
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How do I find the theorical number of maximum steps to find the root for fixedpoint iteration?

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#numerical-methods #fixed-point-iteration
447
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Fixed point iteration exercise $x=g(x)=-2^x+4$

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#calculus #numerical-methods #fixed-point-iteration

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